Talk:Penholodigital squares
See discussion of First perfect square in base n with n unique digits
Since the zero digit has no impact for digital roots:
Talk:First_perfect_square_in_base_n_with_n_unique_digits#analytically_determine_minimum_start_value
There is the the need of an extra digit discussed -> 13,17 .. so got no solution here.
Which distance to test: ( by Nigel Galloway ) extracted : Now base 15: dgt-root of pandigital value is 7 ( sum of digits [1..14 ( base-1) ] = 15*14 /2 = 105 MOD (14) = 7 dgt root of the square ( (dgt^2) MOD (Base-1 ) : 0 1 4 9 2 11 8 _7_ 8 11 2 9 4 1 .. 0 So one ( 7 occured only once ) has only to check every 14.th value.Bravo!
Check for base 10 : digital root of sum [1..9] = 45 MOD 9 = 0
digits 0 1 2 3 4 5 6 7 8 9
sqr digits 0 1 4 9 16 25 36 49 64 81
dgt root( mod 9) 0 1 4 0 7 7 0 4 1 0 -> every +3 there is the 0
--Horst (talk) 17:15, 5 February 2023 (UTC)
Getting the square root of start value for first square number
The first possible penholodigital number in base b is "12345..(b-1)
I've realized, that for even bases the root n is (base / 2 ) times "1" in base :-)
Like in base 4, n=11 : 11*11 =121, a little smaller than 123, but less than 121+11 = 132
For odd bases b, use the base b-1 and multiply that number by sqrt(base)
The effect is small, but so i can calculate up to 20 digits without bigInt libraries and n stays in UInt64 limit.
--Horst (talk) 18:50, 8 February 2023 (UTC)
Full list, bases 2 - 16
For what it is worth. Full list you can check against.
There is a total of 1 penholodigital squares in base 2: 1² = 1 There is a total of 0 penholodigital squares in base 3: There is a total of 0 penholodigital squares in base 4: There is a total of 0 penholodigital squares in base 5: There is a total of 2 penholodigital squares in base 6: 122² = 15324, 221² = 53241 There is a total of 1 penholodigital squares in base 7: 645² = 623514 There is a total of 1 penholodigital squares in base 8: 2453² = 6532471 There is a total of 10 penholodigital squares in base 9: 3825² = 16328547, 3847² = 16523874, 4617² = 23875614 4761² = 25487631, 6561² = 47865231, 6574² = 48162537 6844² = 53184267, 7285² = 58624317, 7821² = 68573241 8554² = 82314657 There is a total of 30 penholodigital squares in base 10: 11826² = 139854276, 12363² = 152843769, 12543² = 157326849 14676² = 215384976, 15681² = 245893761, 15963² = 254817369 18072² = 326597184, 19023² = 361874529, 19377² = 375468129 19569² = 382945761, 19629² = 385297641, 20316² = 412739856 22887² = 523814769, 23019² = 529874361, 23178² = 537219684 23439² = 549386721, 24237² = 587432169, 24276² = 589324176 24441² = 597362481, 24807² = 615387249, 25059² = 627953481 25572² = 653927184, 25941² = 672935481, 26409² = 697435281 26733² = 714653289, 27129² = 735982641, 27273² = 743816529 29034² = 842973156, 29106² = 847159236, 30384² = 923187456 There is a total of 20 penholodigital squares in base 11: 42045² = 165742A893, 43152² = 173A652894, 44926² = 18792A6453 47149² = 1A67395824, 47257² = 1A76392485, 52071² = 249A758631 54457² = 2719634A85, 55979² = 286A795314, 59597² = 314672A895 632A4² = 3671A89245, 64069² = 376198A254, 68335² = 41697528A3 71485² = 46928A7153, 81196² = 5A79286413, 83608² = 632A741859 86074² = 6713498A25, 89468² = 7148563A29, 91429² = 76315982A4 93319² = 795186A234, A3A39² = 983251A764 There is a total of 23 penholodigital squares in base 12: 117789² = 135B7482A69, 16357B² = 23A5B976481, 16762B² = 24AB5379861 16906B² = 25386749BA1, 173434² = 26B859A3714, 178278² = 2835BA17694 1A1993² = 34A8125B769, 1A3595² = 354A279B681, 1B0451² = 3824B7569A1 1B7545² = 3A5B2487961, 2084A9² = 42A1583B769, 235273² = 5287BA13469 2528B5² = 5B23A879641, 25B564² = 62937B5A814, 262174² = 63A8527B194 285A44² = 73B615A8294, 29A977² = 7B9284A5361, 2A7617² = 83AB5479261 2B0144² = 8617B35A294, 307381² = 93825A67B41, 310828² = 96528AB7314 319488² = 9AB65823714, 319A37² = 9B2573468A1 There is a total of 0 penholodigital squares in base 13: There is a total of 160 penholodigital squares in base 14: 1129535² = 126A84D79C53B, 1145393² = 12A68DB5374C9, 117D854² = 134596CAB87D2 11865A8² = 1356BC247D9A8, 11888A3² = 135BAD2678C49, 1213ACA² = 146CA78D53B92 1225AA9² = 149785AC62D3B, 1235DC3² = 14BC765DA8329, 1279052² = 157AB3D289C64 12894A5² = 15A29D468C73B, 128B953² = 15A8364DC7B29, 12B30AC² = 1623D89B7A5C4 12D71B4² = 167B48ACD3952, 13485D5² = 1763D8CA9245B, 136C494² = 17BD495AC8632 138BC89² = 182C6D7534A9B, 1393B93² = 183D645B72AC9, 13A0084² = 185B36D7A4C92 1461C78² = 1A3D7C6925B48, 1470999² = 1A6548739C2DB, 149AA14² = 1AD8546C37B92 1508CA3² = 1BCA2D5736849, 151DB35² = 1C25A647D893B, 152649C² = 1C398AD765B24 1576CAB² = 1D38AB65C7249, 157C257² = 1D4965C8BA237, 15809D3² = 1D527B3A6C489 1586757² = 1D64BA5C89237, 16D1B9B² = 23457BCD861A9, 180D3D1² = 26ADB397548C1 183B736² = 2761354D9CBA8, 1877349² = 283CAD946157B, 190AA09² = 29D738461AC5B 193AAA9² = 2A9657C148D3B, 19910D6² = 2BD357619AC48, 19A4195² = 2C35164A98D7B 1A1030B² = 2D56B71C34A89, 1A18B62² = 2D785C3691BA4, 1B11831² = 32CDA84759B61 1B84906² = 34B17956CDA28, 1B909D9² = 34DA578296C1B, 1BBB53A² = 359C84AD761B2 1C0C851² = 3674BC2598DA1, 1C21091² = 36BA29D587C41, 1C25991² = 36CD78A95B241 1C9891C² = 38C2A5DB71964, 1CA7D36² = 391B6C2475DA8, 1CC1274² = 3978B56A4CD12 1D034D5² = 3A1CD2476985B, 1D18196² = 3A716D45B92C8, 1D53476² = 3B74AC96D1528 1D82B89² = 3C4DA1285769B, 1D891AA² = 3C6A79415D8B2, 1D9C33B² = 3CB8216D57A49 1DD841C² = 3DC529A78B164, 205B2B8² = 41952D3A67BC8, 206B1C7² = 41D5BA69C8237 208A775² = 427589D63AC1B, 20D0164² = 43AC6DB981572, 216BBBA² = 46185C9ADB732 217972B² = 46518B2C3D7A9, 21842D9² = 467A53289DC1B, 21B1038² = 4756D93B12CA8 21BD039² = 47921586CAD3B, 22188B7² = 48AD25C19B637, 2220ADA² = 48CB93D567A12 22228DA² = 48D593BA76C12, 2257406² = 49DB5A71C3628, 226D835² = 4A619C8D5273B 227211B² = 4A6C7D1385B29, 22835B8² = 4AB96D12753C8, 22CB813² = 4C3B528DA1769 2304629² = 4CA59718362DB, 2402131² = 5329784CDAB61, 24080CD² = 5348C7A6B9D21 24141A4² = 537CD86A941B2, 244C9D8² = 54A7B93CD1628, 249A12B² = 564CBD78321A9 24DD54B² = 57AB12834D6C9, 255AD7A² = 59A6148D3CB72, 255C168² = 59AB746D1C328 256AD5B² = 5A12D34C78B69, 2576D8B² = 5A48C673B1D29, 2586549² = 5A9328C641D7B 2588178² = 5A9B6C21D7348, 259CCB1² = 5B23CA79D4681, 25C895B² = 5C1438ADB2769 25CB949² = 5C24A986D317B, 25D251B² = 5C3D784AB6129, 261D43A² = 5D36C7418A9B2 26280BA² = 5D6789AC41B32, 262BA53² = 5D7B861CA4329, 2634B3A² = 5DA41C73689B2 267941A² = 61374A895BCD2, 270A8B1² = 63AB275D49C81, 276CC76² = 65DBC7A914328 27A7D0D² = 67458DB39A2C1, 27D30D1² = 683DB5A9742C1, 2810A05² = 68D5A943C721B 2811842² = 68DA3C95B1724, 2837D42² = 69C5B1738AD24, 2859D11² = 6A975BC843D21 296B7C5² = 7254638A1DC9B, 29D7768² = 74D6CA935B128, 2AA5C1C² = 793185C2DAB64 2AD13CB² = 7A3D28B14C569, 2B20281² = 7B63459CA8D21, 2B21C1A² = 7B6CA139854D2 2B5A308² = 7CD13AB529648, 2C40134² = 83CD916A574B2, 2CB5679² = 86DA721493C5B 2D26547² = 8915B2ADC4637, 2D740A3² = 8B1D75A2C3649, 2DA0095² = 8C415DA92637B 30BB095² = 95162DCA8437B, 30C0C0C² = 95317BC2D68A4, 30D632C² = 95B83DC167A24 30D6D04² = 95BC8347AD612, 3150917² = 9841B5A6CD237, 3191C1C² = 9A175D382CB64 3193C92² = 9A261B73CD584, 31C0878² = 9B5A1726CD348, 3206366² = 9C6B3D2A51748 3276C18² = A195234DB7C68, 32781B7² = A19D2CB854637, 3307D3A² = A4C918563D7B2 33867CD² = A87B49365CD21, 33A00DA² = A93B857C4D612, 33A3BD9² = A95847C2D361B 340A621² = AB6C8D5793241, 3441C78² = AD139726C5B48, 34B4836² = B27146DC359A8 35A38CB² = B8A5D174C2369, 35B0232² = B917A2856D3C4, 35D5841² = BA3C52D796481 35DDC8B² = BA7D48361C529, 363A5CD² = BC5A68D479321, 369A308² = C152B73DA9648 36C9531² = C2B9A43D87561, 36D9588² = C349B5721AD68, 373627B² = C5321A47BD689 3736C8D² = C53729468BDA1, 37574A3² = C63B78A1D5249, 3759087² = C64981ABD5237 37861A4² = C7A5D493861B2, 37CB72A² = C9D84AB316752, 381827A² = CB548A369D172 38534A6² = CD37B496512A8, 3859842² = CD6AB81395724, 38AA3D5² = D21396874AC5B 38BA9A1² = D28A3B549C761, 3900B4C² = D3B5C9612A784, 390A926² = D42795B36A1C8 39407D3² = D5C742BA31689, 394C2D9² = D64895A723C1B, 397025D² = D764AB895C321 39A1835² = D912C45A6873B, 39B0934² = D981746A53CB2, 39C021C² = DA135B28C7964 3A03226² = DB3962A7541C8 There is a total of 419 penholodigital squares in base 15: 4240C58² = 12378DA5B6EC94, 42DDA07² = 128ECD6A79B534, 42E5325² = 12937BDEC8456A 4309BCA² = 129E73DBC8456A, 430A6A2² = 129ECB85D736A4, 4386AD5² = 12E543C96D87BA 438A352² = 12E73D69BAC854, 44250AA² = 1345E67D9C28BA, 447340D² = 1372C5AD689EB4 4483817² = 137B8ADEC65924, 44BC50D² = 139C78DE625AB4, 454A156² = 13E58D94A7CB26 45AD3B3² = 142ECADB753869, 464108C² = 147BD3AC58E269, 46C48A5² = 14C9E5D37826BA 47DD507² = 1578DECB296A34, 47E326D² = 157BCAD8E63924, 483331D² = 15A32B9CD8E674 490C6A8² = 162D98537CABE4, 4B068AA² = 1765249CE8D3BA, 4B9282D² = 17BD2A95EC8634 4BCBD75² = 17E2C8569D43BA, 4C4C557² = 183A62B7C5E9D4, 4CB00D9² = 187A29BD53C4E6 4CD9988² = 1895BDEA7326C4, 4D1AE16² = 18B5CA273D94E6, 4DCDE52² = 193A8EBD6C2754 4E02D3D² = 1952D6CA8B37E4, 5055ACC² = 1A38E27645BDC9, 5067926² = 1A453DE2C978B6 50EAC26² = 1A9D284753CEB6, 513C419² = 1AC9B52D743E86, 5164B62² = 1AE52D7BC83694 51C7EBD² = 1B38A5E276D9C4, 52695CA² = 1B9C34D8E7256A, 52A2538² = 1BC3AED9568274 5325A46² = 1C23B7A9D8E456, 5330433² = 1C2A67DE85B439, 540C392² = 1CB98EA2D73564 5439536² = 1CD9352AE47B86, 543B822² = 1CDAB7E9253684, 54DEB88² = 1D5E29673AB8C4 5533199² = 1D8E3CBA794526, 5544449² = 1D9ABE48C75326, 567007A² = 1E76C984253DBA 5689678² = 1E897CA365D2B4, 56D7855² = 1EC29B8D54736A, 56D7D9A² = 1EC2D9534B786A 56DD5D8² = 1EC6D7B539A824, 5988DD7² = 21BC8D7E6A9354, 59A9BD6² = 21D5C3A4E79B86 59AB518² = 21D6EAC839B754, 5BC2BBB² = 23765C8D9EB4A1, 5BE324A² = 238EC9674D51BA 5C47939² = 23D15A784CB9E6, 5DAB613² = 24EAB81CD35769, 5E257B5² = 254E1C98BD736A 5E5CBE2² = 257A91E8D6C3B4, 5ED3AB7² = 25D8EC39B6A174, 5EECD5E² = 25ED4AB768C931 6045D34² = 2637BCD84E59A1, 60D287D² = 26A8C5B9371ED4, 615D433² = 271C86B5DAE439 618141E² = 27395C6E84DAB1, 61A4B7A² = 27569E1D43C8BA, 61B6191² = 2764EB8CAD5931 6208E41² = 279B4C635DAE81, 621933B² = 27A8C36D59B4E1, 62200A1² = 27AD8C39E46B51 62432E4² = 27CAB5E3D64981, 624D352² = 27D3EBC61A9854, 625AC86² = 27DE51C39AB486 6269273² = 27EA451D86B3C9, 6319196² = 287DE1B493CA56, 6361D33² = 28BA1C5746ED39 637C6C3² = 28D157BEA634C9, 6389BCE² = 28DB95E63C7A41, 63E3E72² = 2936BAE7C851D4 64113E6² = 294E8DC1AB7356, 6493E3A² = 29BC73514ED86A, 6544844² = 2A548D6C9EB731 655106C² = 2A5E4B678DC139, 6603132² = 2AE8967B153DC4, 6625B23² = 2B167D54E83AC9 669CC5D² = 2B7C89ADE35164, 6703892² = 2BC7135E98DA64, 6712559² = 2BD3E8C7A94156 6724646² = 2BE3A79D48C156, 67566D6² = 2C1E579A3D4B86, 678935B² = 2C4AB3E67598D1 67AB294² = 2C687349E5ABD1, 67DDA59² = 2C94BEAD873156, 683BE8D² = 2CD8A613B5E794 686EE78² = 2D159C6E873AB4, 688EC96² = 2D31C4BEA89756, 6914D6A² = 2D987B35CE146A 69E2675² = 2E5DC7349168BA, 6A04483² = 2E6DC5A87B4139, 6A0EE9A² = 2E784B3C951D6A 6A574C5² = 2EB8496375DC1A, 6BE0297² = 312A86B5E7DC94, 6C109C9² = 31482EDA79C5B6 6D3D536² = 325C74D9E1AB86, 6D76E98² = 3291B7AC658ED4, 6D7E27E² = 32985BCA647DE1 701ED59² = 341CDB2E789A56, 702A9C9² = 3427EA18D9C5B6, 70A07BE² = 3495DEC72AB861 713183C² = 351ED8427CAB69, 7188BA4² = 35729ECA84BD61, 7192556² = 357ABD91C84E26 7196A6A² = 357ED8CB29146A, 71B6334² = 359CD7B6E284A1, 730DC95² = 36D745928BEC1A 733E18D² = 3715C268ADBE94, 735849D² = 372E1ADBC98654, 73B23DA² = 37851C9D24E6BA 73CCD11² = 379ED584BA6C21, 73E5024² = 37B64C98DEA521, 7415E4E² = 37D64A2E8C9B51 74914CC² = 385D6B1E7A24C9, 74C6884² = 38926BEA7D4C51, 74D9556² = 38A4C5791BDE26 7502ABE² = 38BC9D57AE4261, 751C8C4² = 38D6ECA9B52471, 752D8A4² = 38E79AC2BD5461 755B3D5² = 39247518ED6CBA, 75C0BD1² = 3987645A2EDCB1, 760EA66² = 39C57841B2DAE6 7720D8C² = 3AD4BC21578E69, 77343DC² = 3AE8154CD2B769, 7763C95² = 3B278E96D54C1A 77A651D² = 3B6A1E25C89D74, 7859389² = 3C1DB459A287E6, 78A8727² = 3C6DA28795BE14 79036AE² = 3CB9764EA5D281, 7919E45² = 3CD146E59728BA, 7A2D42B² = 3DE9426BAC8571 7ADC63C² = 3EACD215B74869, 7AEB9B1² = 3EBC829DA64571, 7B09769² = 3ECABD71592486 7C831D5² = 416253C9ED87BA, 7C86475² = 41659EDC7823BA, 7D3266C² = 4218BD7E65CA39 7D97634² = 4283B9E7C65DA1, 7DAA84B² = 4297DA5EB8C361, 7DE739A² = 42D7BE15C8936A 7E2A8CA² = 431DE79C2B856A, 7E34BCC² = 4328AB156ED7C9, 7E614C5² = 4357B689E2DC1A 7E7C986² = 4375A92CB1ED86, 7ECBE9A² = 43C9BE25871D6A, 7EEA369² = 43E9DA21B5C786 8106569² = 4517C9E2A3BD86, 8108E99² = 451A9C83B7DE26, 81C2255² = 45E28971CBD36A 828818E² = 46B83AD5E972C1, 836301E² = 47A5CD862E93B1, 841615A² = 48693CB52ED71A 846A34E² = 48C69EA2D7B351, 84B3315² = 4926E5C3D781BA, 8547B86² = 49BA5D12CE3786 8616446² = 4A9ECB21D83756, 865B131² = 4AEC852793DB61, 86BC96B² = 4B6A87E92CD351 86E1231² = 4B93572AC8ED61, 8839106² = 4D15897ABE3C26, 8849C35² = 4D287E3C695B1A 887466A² = 4D58B23179CE6A, 895492C² = 4E57632A81BDC9, 8B2ECA6² = 51783D9AEB4C26 8BD4CB4² = 52497836DBACE1, 8CD2C3D² = 5371D29C68ABE4, 8D03461² = 5397D6248ABEC1 900EC68² = 5612BEC3D789A4, 90946AB² = 56B2AC489DE731, 9107189² = 57398CB4A2D1E6 9148A4D² = 57891E2BC36DA4, 9174734² = 57BD8C249E36A1, 91943E9² = 57E4B13AD98C26 91D0057² = 583C7A9B621ED4, 92A3D66² = 593BD27C48A1E6, 92DC21A² = 5982173DE46CBA 9313748² = 59B1A3D2E67C84, 9334C31² = 59DA248CBE7361, 939618D² = 5A6273B81CDE94 95615DA² = 5C93D76E8241BA, 9567499² = 5C9B43A718DE26, 9569042² = 5C9D63ABE87214 9574C39² = 5CABD7128493E6, 95DB2DA² = 5D3C68479E21BA, 95E6186² = 5D49CBA2E13786 9620C51² = 5D7E9B28C634A1, 962A0BB² = 5D8B36C7E942A1, 965A5A4² = 5DC8243EB79A61 989D7A7² = 61AD32BE975C84, 98CC72D² = 61E95DB82C7A34, 9908797² = 6231D5C8BEA794 9912A22² = 623D971BCA5E84, 9939DAA² = 6271539C84EDBA, 99BC90D² = 6328E517ADC9B4 99C143B² = 632DA598C47BE1, 99E31DE² = 6359A7DB8E4C21, 9A55ABD² = 63D9278BE51AC4 9A5852A² = 63DC85E9B4721A, 9A5B482² = 63E15ADBC98724, 9A8A96B² = 642DA87BC9E351 9AA7175² = 6452E871C9D3BA, 9B2067E² = 64DA7B32C895E1, 9B983BC² = 65874ADBCE2139 9B9A798² = 658A3CB192E7D4, 9BC927D² = 65C7312BA9E8D4, 9BD67C5² = 65D84EB7392C1A 9DCC9BB² = 687329ECDB45A1, 9E5D5C5² = 692D345CBE871A, A0573DB² = 6A74C35BD28E91 A0A6B48² = 6ADE753B9C2184, A0D6398² = 6B2E1CA87593D4, A0EA0E1² = 6B4958EC7A32D1 A102A2A² = 6B548DE2793C1A, A1603C3² = 6BD247EA3581C9, A1A2D2B² = 6C3B9D425EA871 A27A62C² = 6D5A2E8B3741C9, A28AE32² = 6D713E29AB85C4, A292BC3² = 6D7A81BE3254C9 A297588² = 6D81B5E3A972C4, A316915² = 6E285D74C391BA, A3183BD² = 6E2A97B1D538C4 A368E44² = 6E98B7DC254A31, A4A0515² = 714C39E285D6BA, A4A9475² = 715986E4DC23BA A568848² = 725AE9B31C6D84, A5996BD² = 729E68153DABC4, A5BBE75² = 72CE6895413DBA A5C6691² = 72DC85EA9B6431, A5CBD75² = 72E51C689D43BA, A605941² = 732DBCEA569481 A625192² = 7359A8E21BDC64, A6528A8² = 7398A6B512CDE4, A67D247² = 73D51AC8B962E4 A777BD8² = 753B9DA6C81E24, A785874² = 754E82A36D9BC1, A7AEDCB² = 7589A6BCE34D21 A7C1E6D² = 75A38DC1E9B624, A7E3663² = 75D2B3A81C4E69, A86641E² = 76845E29CD3AB1 A9984AD² = 783DE569BA2C14, A99D413² = 7845ED312BCA69, A9A45A1² = 784E9D23BCA651 A9E61CB² = 78AC59BD6E3421, AA079B2² = 78C5D3162AB9E4, AA1B16A² = 78E21DC953B46A AA4CE85² = 7938D42B51CE6A, AA97B5B² = 79A3685EB2C4D1, AB13BC1² = 7A4CD5E863B291 AB19972² = 7A563E189C2BD4, AB28783² = 7A6B1E8CD52439, AB4A1DE² = 7A9B6D3E845C21 AB93BA9² = 7B14ECD8329A56, AC57C21² = 7C285A9BE63D41, AC6B9A5² = 7C45892ED631BA AD4CE55² = 7D84C29B5E136A, AD6A56D² = 7DAE935B681C24, ADAECC6² = 7E235D8491ACB6 AE0C094² = 7E9385246CBAD1, AE139A2² = 7E9D2C1B5863A4, B019B98² = 812653A9C7EBD4 B1A09B7² = 836DB1EC9A5274, B1C5578² = 83A52E76DC91B4, B351861² = 85E36A49D2B7C1 B375C74² = 8629B43A5E7DC1, B38845A² = 8645D932BEC71A, B451A6C² = 876B4EA5C2D139 B495587² = 87D23CE5B196A4, B58AE96² = 894D3CBA72E156, B59019E² = 89547DC23EB6A1 B5EDE15² = 89E45C371D26BA, B691B56² = 8AD4391E57CB26, B6EB0AB² = 8B6CE572D49A31 B721DB4² = 8BA7C3D46295E1, B72657B² = 8BAE9657D234C1, B82D22B² = 8D4A5B923EC671 B8D8BB1² = 8E632D4B5AC971, B8DED4E² = 8E6C973A24BD51, BB7DA65² = 9376E82CBD451A BB7EBCB² = 9378A4C6B5DE21, BBA4094² = 93B26CE5847AD1, BBB0C22² = 93C5E21DAB6784 BC3129B² = 9486A5ECD273B1, BCC0572² = 957863C1B2EAD4, BCEE6B9² = 95C31EB4D7A286 BD08566² = 95D237184BCAE6, BD9D377² = 96CDE8A13257B4, BDA8052² = 96DE7C18A23B54 BE0056D² = 97618A3D5EBC24, BEDADB5² = 98CE71B425D36A, BEDD48E² = 98D3467EA25BC1 C19EC2D² = 9BA271E68CD534, C253238² = 9CBA835D612E74, C2630B1² = 9CD4A85B63E271 C2C148A² = 9D7CE62B38451A, C2C5909² = 9D84E271B3AC56, C2EB987² = 9DC37E6518B2A4 C312D5D² = 9DE81A2753BC64, C3519D6² = 9E5DC37B14A286, C4630CC² = A1235864EB7DC9 C49E9C3² = A1863245EBD7C9, C5B28DC² = A35124CDE8B769, C5CD26D² = A37D5B6CE18924 C6084D6² = A3C4B79E1D5286, C6325C9² = A4195DC2E378B6, C6787BC² = A48DE15B2C6739 C6C5248² = A51CBE6D329784, C7425D6² = A5D2BC39714E86, C85D66D² = A7B1DE96C53824 C8BAC82² = A85D6BC173E924, C8BEC9B² = A86529C34E7DB1, C8ECC7C² = A8B2567D14E3C9 C90C2C2² = A8CB7269DE1534, C951341² = A94E263B5DC781, C95CDB1² = A963CB825E4D71 CA645B1² = AB2489E35D6C71, CAC1A22² = ABC27396D51E84, CAC4CDE² = ABC7D4638E9521 CB15ADB² = AC462ED5B87391, CB216A7² = AC5961E723BD84, CB39CD3² = AC842E5BD17639 CB93B3E² = AD2BE3594C6871, CB96D84² = AD324B8E69C751, CBCD1C2² = AD8E92C576B134 CC43576² = AE4C3571D289B6, CD5B8B3² = B132A45EC7D869, CEAD9A9² = B37DAE1829C456 CEBCB89² = B3982AC47D51E6, CED7287² = B3C568ED2719A4, D00BA3C² = B4153C2D78AE69 D051925² = B48CD91E23756A, D0A7D51² = B5342789EDC6A1, D0D9914² = B58A723C6E4D91 D118DDE² = B5DCA78469E321, D23D53A² = B7E139D452C86A, D245344² = B7ED45298A6C31 D29C77D² = B897AC512E63D4, D30503B² = B942C6A3875DE1, D3251A1² = B97AC48E326D51 D326A4B² = B97D8E4A5C3261, D33D6A1² = B9A6DE472C3851, D34E519² = B9C4E35A17D286 D362A69² = B9E74AC1235D86, D4DD36B² = BC9A2D3487E651, D55075E² = BD594C827EA631 D570532² = BD9278365A1EC4, D70565D² = C15DB23E897A64, D7AA19D² = C296ED8B7A1354 D881856² = C41D97E38BA526, D925857² = C53A781EB296D4, D9D7052² = C68D21A793EB54 DA4156A² = C741D583B2E96A, DA66149² = C78541B3AED926, DAAD34A² = C817E3D95246BA DB00E29² = C892AE4715D3B6, DB2B345² = C8E179D45623BA, DB5432B² = C93B2845A6ED71 DB92AB7² = C9AD83E562B174, DBC44A9² = CA19283DB7E456, DBE9439² = CA5D732814B9E6 DC1282B² = CA8B452E69D371, DC290DE² = CAB5D864379E21, DC662DB² = CB362A8DE54791 DC95A59² = CB8D3E427A9156, DD9E266² = CD7A352B9814E6, DE41827² = CE9A6253B78D14 DE64336² = CEDB3157A49286, E017BE2² = D12C86A59E73B4, E020C25² = D13C7E8942B56A E05A389² = D1A93C5284B7E6, E155B85² = D38294157BCE6A, E18AC22² = D3E6A29B5C1784 E2728C4² = D59BE8A632C471, E278E31² = D5A8EB3429C761, E34B9D9² = D739BA28C451E6 E350436² = D7419A35B2CE86, E3505CA² = D741CB398E256A, E3A9814² = D7EB86AC432591 E3D36DB² = D84A7E6C2B3591, E465A28² = D9532AC87EB164, E47743A² = D974C821BE536A E48EA0D² = D9A27E8C1365B4, E4CD7B2² = DA29CB538761E4, E50C3C3² = DA8364EB2751C9 E5BB422² = DBE276CA931584, E719B34² = DE76B3452C98A1, E72AAD7² = DE978CA32B1654 E74156C² = DEC2687BA45139, E744DBA² = DEC94857B3261A, E823E17² = E179BCD65A8324 E834938² = E19A2D5C3B8674, E8889B5² = E24D951C3B786A, E89BADC² = E273B415D8CA69 E8D1409² = E2DA14983B7C56, E91BB7A² = E35D1C497628BA, E9249CD² = E36D752BAC1984 E95A911² = E3D7BC6A589421, E973925² = E4179DB832C56A, EA31511² = E57A9D4683CB21 EA56149² = E5C3A7841BD926, EB3D598² = E78AB2316C95D4, EB3E18C² = E78C2A4315DB69 EB55158² = E7B86DCA523194, EC24278² = E9516A3C287DB4, EC35C7A² = E97456C3182DBA EC62906² = E9CBD847A51326, ECABA42² = EA6D89523B7C14, ECDEA1D² = EAD396125CB874 ED0BA96² = EB1C328974AD56, ED21A9E² = EB46D275C983A1, EDA33C8² = EC583B6729DA14 EDA4DCB² = EC5B876A439D21, EE25E4A² = ED4C93285671BA There is a total of 740 penholodigital squares in base 16: 11156EB6² = 123DA7F85BCE964, 11191665² = 124576ECBAF83D9, 113204E5² = 127AE6C538BF4D9 1132715A² = 127BCFE6D5893A4, 1137CD35² = 128756ADB43ECF9, 1184DE8B² = 132EA84B6CD5F79 119E04A6² = 1365E27C8FD9BA4, 11BDF08B² = 13AC6DF8542EB79, 11BE84BA² = 13ADB69FCE85724 11BECF33² = 13AE5BCFD678429, 11C5DA5D² = 13BDFEA276485C9, 11CFFB23² = 13D4852BEF7A6C9 11E24896² = 13FD5A8296CB7E4, 11FF76A5² = 143ECAF7DB28659, 120E12CD² = 145FB6AE3CD7829 121B9213² = 147E382CF5BAD69, 1240AD4B² = 14D28B5A6CE73F9, 126CB8E6² = 153782CDF9B6EA4 1282D62B² = 156A8FC42D7EB39, 12838F26² = 156C3BD28EF79A4, 128C0F9D² = 157FED328ABC649 128F8515² = 1587F2CE6A4D3B9, 1297A60A² = 159AD2EB37CF864, 129ED83A² = 15AB8F7C639ED24 129F35FA² = 15AC69B3FED7824, 12A91E26² = 15C37F629B8EDA4, 12B86935² = 15E73A2DB6C84F9 12B8AA4E² = 15E7D28396BAFC4, 12D71A65² = 162F4738C5EABD9, 131C32CB² = 16D32A5487BECF9 137D5772² = 17BD8596F32AEC4, 1388E9F2² = 17D9BF352EA68C4, 13AB2A35² = 182DAB547C36EF9 13ADE3B5² = 18345EA6B2C7DF9, 13B8135D² = 184D73BA526EFC9, 13C1908B² = 1864DCFE532AB79 13FDF6CA² = 18FAE93B52CD764, 1439030A² = 198F52BEA7D3C64, 149C2DE5² = 1A8C673BF524ED9 14D78D1D² = 1B2638ADC7EF549, 14ED096D² = 1B5E4F37C2AD869, 14F1CBB5² = 1B6AC3574E28DF9 14FFF5F5² = 1B8FE5A3264DC79, 15081456² = 1BA539762FD8CE4, 151B24AB² = 1BD76E4CF528A39 153BAC8A² = 1C2D8379FE5BA64, 15468DCB² = 1C4A6B5278D3EF9, 1552C695² = 1C6AF58437ED2B9 156C5D8A² = 1CAF537B29D8E64, 156EAB76² = 1CB57F9283EDA64, 158264E5² = 1CEA6F83257B4D9 15ABA81E² = 1D59CAEF27B6384, 15B57493² = 1D745BE2AF38C69, 15BAD55A² = 1D82F5B7C96E3A4 15BAE8DD² = 1D832AB76F54EC9, 15C116D6² = 1D93F628CB57AE4, 15CED79E² = 1DB967FA3E2C584 15E1904B² = 1DEC86B432A75F9, 1613AA95² = 1E762D45FC83AB9, 16242DB6² = 1EA3CF82B597D64 162753AB² = 1EAC86BFD725439, 166EE05E² = 1F73E95BD6CA284, 1675BEA6² = 1F872EC59B6D3A4 1687B02A² = 1FB9A327D85C6E4, 16928F13² = 1FD847EC5A23B69, 170F290B² = 213BA45CFDE8679 171AB6EA² = 215CFA7B6398DE4, 17303916² = 219B35768FACDE4, 174B24E2² = 21E96AF3DBC5784 174BC7D5² = 21EB456F8CAD739, 174D59AB² = 21EFD7BCA465839, 17C82CB7² = 235948EC7BF6AD1 17CEFC1D² = 236D8A7ECF51B49, 17D75273² = 23865EC41B7DFA9, 17DA7DEA² = 238FD1ABC7659E4 17EE1C29² = 23CA687BD54FE91, 17F2D151² = 23D87ECF6495BA1, 17FB471E² = 23F1D6BEC95A784 17FCDF39² = 23F69E478DC5AB1, 18097AEB² = 241C765EF8AD3B9, 18375D35² = 24A6D731EB58CF9 186CE31F² = 25498E63BA7FDC1, 1877D405² = 256AFD7BC3E4819, 1882627B² = 258B4DF3ACE6719 1882709A² = 258B7936DEF1CA4, 1882826A² = 258BAFC9617D3E4, 18831216² = 258D67FA3CB19E4 1898838F² = 25CF3874D6BA9E1, 18A466AF² = 25F3CD48967EBA1, 18A7CF43² = 25FE4DCA1376B89 18BEE2EB² = 26458E1ADF7C3B9, 18CE4939² = 26753F49CAD8EB1, 18E0FE9E² = 26AF57C31BDE984 18F9904E² = 26FBE58A913D7C4, 18F9BDB7² = 26FC734EA95B8D1, 19144BE1² = 274F86DE3A59BC1 19159C9E² = 2753A69EDBCF184, 1918CF4A² = 275DAE3F9B8C164, 19278E13² = 278BFDC4EA31569 19281027² = 278D96CAB34E5F1, 194672B5² = 27ED5CA4861B3F9, 1947D0CE² = 27F1AEDB89365C4 1962462F² = 284576EFD39BCA1, 196BBB47² = 28637E9F45ACDB1, 19738A16² = 287C51DA63FB9E4 1983634B² = 28AECD36B4517F9, 198726ED² = 28BACF45DE13769, 198FDE96² = 28D6A53B91C7FE4 19D8F2A2² = 29C173DFB56AE84, 19F3D44B² = 2A187B35C6E4DF9, 1A10E1D5² = 2A76EFC45D81B39 1A32CED5² = 2AE5C18B64F7D39, 1A54950B² = 2B54A3861FDCE79, 1A81561D² = 2BE86D5CA317F49 1A8FA30D² = 2C17DB6345F8EA9, 1AACA827² = 2C7869A4EDB35F1, 1AB07FA6² = 2C8539D7BE61FA4 1AD17D0F² = 2CF38D47B95A6E1, 1AD3131D² = 2CF8DEA673B5149, 1ADBDBD3² = 2D16578B3C4AFE9 1AE7E6DA² = 2D3ECF6B59871A4, 1AEB8367² = 2D4AF5B6E8C9371, 1AEF976D² = 2D58AFE3B17C469 1AF01F4E² = 2D5A7968E13FBC4, 1AF6278B² = 2D6ECB8413FA579, 1B1B1BF9² = 2DEBAC56F947831 1B1E9FEA² = 2DF79653ABC81E4, 1B1F994A² = 2DFAE3C17B58964, 1B4B3519² = 2E8F34B6DA95C71 1B5CD2B5² = 2ECB61A4D8573F9, 1B69320D² = 2EF5BC8D67314A9, 1B7D3532² = 2F3A67589E1BDC4 1B864DF2² = 2F59AE6BD1378C4, 1B956139² = 2F8D9AC57463EB1, 1B9CABAB² = 2FA6C17BD85E439 1BA0E171² = 2FB54A869C7D3E1, 1BA177AD² = 2FB75163D8C4AE9, 1BA1C1EA² = 2FB851CD736A9E4 1BA1EAA3² = 2FB8DE75A1463C9, 1BA2579F² = 2FBA56E8D3974C1, 1BA32C8D² = 2FBD367814EC5A9 1BA46463² = 2FC16BDA8357E49, 1BA71E79² = 2FCAD864B7E9531, 1BAF1C55² = 2FE67C1AD58B439 1C39E3F3² = 31CB6F4752ED8A9, 1C3D5EA2² = 31D7B69AC2F5E84, 1C450323² = 31F2B4A58E7D6C9 1C5B44AD² = 324178FBD6A5CE9, 1C5C6B0D² = 32458C7F61BDEA9, 1C62F351² = 325CB78E946DFA1 1C6A0772² = 3275D8B1A9F6EC4, 1C7941FB² = 32ABFDE58476C19, 1C85FF4F² = 32D95FC8EB47A61 1C8BC5CE² = 32EDF95768AB1C4, 1CF021EF² = 34568ABEC9F7D21, 1CF11EB5² = 345A1D26C78EBF9 1CF17E37² = 345B76AE9C82FD1, 1D0C8D67² = 34BD8A6E5C29F71, 1D0E0827² = 34C2E9DBA8675F1 1D2BB205² = 352EDCA6B78F419, 1D4498BA² = 3589CFBA1ED6724, 1D4FBFD3² = 35B2A4DC1F687E9 1D606E23² = 35EFD46B7A218C9, 1D8E08F1² = 3697CD485ABF2E1, 1D8EDB96² = 369AD7852C1FBE4 1DBE0D8F² = 3749C2A86FBD5E1, 1DC31BC7² = 375C8FE6A2D94B1, 1DDD703A² = 37BEAF81956CD24 1DE46232² = 37D89FE62BA51C4, 1DEDDD62² = 37FC12BDAE65984, 1DF53DCD² = 3817AEFCB4D5629 1DF97CB7² = 38279654EBFCAD1, 1E06128D² = 3856C7DEBF421A9, 1E06616B² = 3857EFDCA1642B9 1E1D64BA² = 38AE6FB91C5D724, 1E3D8D8F² = 3927BFA486CD5E1, 1E3EDC8A² = 392CB1FE8D57A64 1E3F6231² = 392EAB4F5C78D61, 1E52EE37² = 3978AB25CE64FD1, 1E5440B6² = 397DAE52FCB8164 1E5EFA1F² = 39A65DBE7248FC1, 1E63371A² = 39B675DC1F82EA4, 1E6458D9² = 39BAC28645DE7F1 1E82E015² = 3A2EF6D4578C1B9, 1E97BBF7² = 3A7E9FD2B64C851, 1E9A7C8E² = 3A8926B5F71DEC4 1EA9740F² = 3AC275DF46B98E1, 1EC1331A² = 3B1D9C82F675EA4, 1EDE1ACA² = 3B8CEF9D125A764 1EDFA25F² = 3B92D6A8C7E5F41, 1EE091C9² = 3B9672A8EC54FD1, 1EE28321² = 3B9DF27856ECA41 1EED4B21² = 3BC798FED265A41, 1EF98319² = 3BF6DEA25C49871, 1F187715² = 3C6EF2DA15487B9 1F1945EB² = 3C7216DA4FE85B9, 1F2B774D² = 3CB8E45F176AD29, 1F31D59D² = 3CD1B6F7E58A249 1F4FCCD3² = 3D46C7B281AF5E9, 1F560EA9² = 3D5F47AC862EB91, 1F5FBA4E² = 3D852EAB1796FC4 1F68CEA9² = 3DA8CF57E246B91, 1F84F836² = 3E1792DFC58AB64, 1F88CB5F² = 3E26A59B87FCD41 1F8A182F² = 3E2BC5976F4D8A1, 1F91DB19² = 3E4A629FBD5C871, 1FA14BB7² = 3E875F6A492BCD1 1FA8AF1F² = 3EA498FD27B65C1, 1FB5B04D² = 3ED81A56C4BF729, 1FBD306B² = 3EF5D8A71264CB9 1FD3101B² = 3F4CBEA178562D9, 1FF1765A² = 3FC5E69D82B17A4, 1FF24DAF² = 3FC9427586EBDA1 1FF3435E² = 3FCD179BA2E5684, 1FF357D1² = 3FCD69472E5B8A1, 1FF49466² = 3FD259BEC7618A4 1FF59F96² = 3FD68512C97ABE4, 2060B8F3² = 41852C7FBDE36A9, 2079E20B² = 41EB28A35FD6C79 208D223F² = 423965E7DFACB81, 209979BD² = 426BA71FDCE3589, 20999DB7² = 426C39BA5E7F8D1 20BAC75D² = 42F3A1D8E65B7C9, 20BCE051² = 42FC36E7B85D9A1, 20C8624B² = 432B56C7AED81F9 20D345B7² = 4357FC9BEA628D1, 20D4AB05² = 435DB6CF287AE19, 20D69771² = 43659BDCA827FE1 20DB3BD7² = 4378AB52FD6CE91, 215F688F² = 459BC83A2D67FE1, 2169A42B² = 45C67EB2A8D1F39 21753633² = 45F6DA3BC178E29, 21972E19² = 4685329DBCAFE71, 21A4E707² = 46BEDC89F75A231 220AE773² = 486E5F1723CBDA9, 220B9213² = 4871352ECFBAD69, 22184AD5² = 48A762EB1CFD539 2222B1AF² = 48D3BE629CF75A1, 2223262B² = 48D5AF6E172CB39, 22236555² = 48D6BCF715A2E39 22265E77² = 48E36D7CA2F9B51, 2249E59F² = 497B652FEA3D8C1, 2262BACF² = 49E5FB28ACD7361 22846215² = 4A76E82DF3C15B9, 22894311² = 4A8BF695DC3E721, 22A056D7² = 4AEFB7DC6352891 22C24323² = 4B82D3F1EA756C9, 22C2F01B² = 4B85C37F61EA2D9, 22F4FC19² = 4C5FD682BE93A71 230F10BD² = 4CD1F76A53E2B89, 2331172B² = 4D675BFA28EC139, 23432C8B² = 4DB6FCE5A821379 234F2E41² = 4DEBF235A796C81, 23667231² = 4E52C3897FBAD61, 23720FB5² = 4E8631D7C2AB5F9 23846D27² = 4ED7A5968C23BF1, 2396B329² = 4F28DB3A76E5C91, 23A1D3C1² = 4F5A632CDE9B781 23AF852F² = 4F976C2358BDEA1, 23AF9939² = 4F97C586DA32EB1, 23B2C1B3² = 4FA5DC8E17B6329 23B4183D² = 4FABD52C6137E89, 23B5CEC1² = 4FB37A6C9E52D81, 23B7CC85² = 4FBC5E2678A3D19 2407FA8E² = 5123EB798FDA6C4, 241B2A96² = 517A6DC32B98FE4, 242B91D3² = 51C486DA7F2B3E9 2438564D² = 51FE4AB86C7D329, 243E9CE2² = 521AB6FED9C3784, 244924B9² = 524A739FEC68DB1 2450F559² = 526DE9B4AC378F1, 24511CB9² = 526E9C7384AFDB1, 2466D095² = 52D13F4C8AE76B9 2480A3B7² = 5346EAF97B28CD1, 248C98A7² = 537D82649AEBCF1, 248F93E5² = 538B21EF746CAD9 249F2229² = 53D2486FB7CEA91, 249FA311² = 53D4968BEFCA721, 24A85A33² = 53FC814DAB7E629 24C7B4B9² = 548C69E7F32ADB1, 24C9D7C1² = 54963D2CAE7BF81, 2520C55E² = 5627D3F1BA9CE84 2525E07A² = 563F87DEC19BA24, 253A16C6² = 569D7C38FBEA124, 25497099² = 56E4F9DA2C83B71 2565FD95² = 576A3EF24C1D8B9, 256B6D7A² = 5783AB9F6CD1E24, 257D10A7² = 57D63E98A2B4CF1 258E36D9² = 5826ADB9E7C43F1, 25A7B172² = 589E723F1BAD6C4, 25A8E957² = 58A42E63CDF7B91 25B57339² = 58DF3EA9C7642B1, 25B880FB² = 58EDA4237CBF619, 25E84921² = 59CF7E82AB3D641 25EB0FC1² = 59DCA63B74E2F81, 25EE2BA2² = 59EB631FCA7D284, 261C8E4D² = 5AC7D6E4BF18329 262D314E² = 5B1729D86EAF3C4, 26305905² = 5B2638EFCD47A19, 2631569D² = 5B2AF38E167DC49 26377587² = 5B482E7C9F6AD31, 2638ACA9² = 5B4DFCE2A638791, 263F678D² = 5B6E271FD48C3A9 264C5D21² = 5BAC26D3978FE41, 2654905E² = 5BD36CAF719E284, 2655A386² = 5BD8931C76FEA24 265AC84D² = 5BF13A84EDC6729, 266429E2² = 5C1E39FD76A2B84, 2668624B² = 5C327BE46AD81F9 2678598F² = 5C7F32A8964BDE1, 26830B4B² = 5CB2A6ED34187F9, 26B48635² = 5DA1724BCE386F9 26BDC376² = 5DCE2B13978FA64, 26C1C6BA² = 5DE19AC76B83F24, 26C2ECCF² = 5DE72B938CA4F61 26C5AE47² = 5DF4862C3EA97B1, 26CE7955² = 5E1F28CBA4D7639, 26E4C886² = 5E8B7FD93C1A624 26E6ADF9² = 5E94B82FDA67C31, 26E74F39² = 5E97C84FD623AB1, 26E9B41D² = 5EA36D1F782CB49 26F141A6² = 5EC82D9F361B7A4, 26F16636² = 5EC8DF9A27B1364, 2708518E² = 5F3891E76DB2AC4 270CD7C7² = 5F4EA639287DCB1, 2715AAAF² = 5F79BD6C482E3A1, 271BC2FA² = 5F9786AE13BDC24 271E0132² = 5FA27E183B96DC4, 276E8F26² = 612DF5CE8B379A4, 27773D8D² = 6158C4B3DE27FA9 277D19BA² = 6175AF8CE39DB24, 2789695E² = 61B27DC95FA3E84, 278CF21D² = 61C3F5E8AB2D749 27A82BF5² = 624ABDE5F1C3879, 27BF4D26² = 62BD875C9F3E1A4, 27C554AF² = 62DB7E8C3594FA1 27EDC4CB² = 63A4ECBD12578F9, 27F44B6B² = 63C581A742FDEB9, 27F6B1F3² = 63D17F284B5ECA9 27F828C6² = 63D8CFB5A1E7924, 2803C54B² = 6412DB5A7CE83F9, 282C8C1F² = 64DF38A2759EBC1 284C49AB² = 657EDC142BAF839, 285F4911² = 65DEA4C9F78B321, 28658E4D² = 65FE4C1A7DB8329 28A281D1² = 6732FB9DE584CA1, 28A50A46² = 673FD9C1EA58B24, 28A6C1C9² = 674892EB35CAFD1 28B68721² = 6798C5EBA3FD241, 28C11D62² = 67CEADBF1235984, 28ECCD1D² = 68ADB23E1CF7549 2917DD87² = 698A72ECBF45D31, 291D3971² = 69A5FBC427D83E1, 2922ED99² = 69C34DEFB28A571 29255589² = 69CFAD7B82E4351, 2926E741² = 69D7BFC4A325E81, 292DEEE7² = 69FBEC3DA285471 29369D21² = 6A289FB3C5D7E41, 2937E622² = 6A2F3EB957D1C84, 29396BAA² = 6A3715D92FB8CE4 293F25F9² = 6A549BD782FEC31, 29406B67² = 6A5B29CDE8F4371, 2948B8D5² = 6A85FDCB742E139 2963F325² = 6B12AE7CF8D4359, 29653686² = 6B1937AFD58CE24, 29725C53² = 6B5D4A8F137C2E9 297D8696² = 6B972A8C13D5FE4, 29819907² = 6BAC49FD2875E31, 29BB9FD5² = 6CDA2B51EF84739 29C7856B² = 6D1843CF7E25AB9, 29CF0877² = 6D3F824CEB9A751, 29D2A83D² = 6D5273BFCA41E89 29D3102F² = 6D54932BC7FE8A1, 29D3DE6F² = 6D58C97FA3EB421, 29D891D5² = 6D715ECA482FB39 29E30179² = 6DA7FC45E982B31, 29E5871E² = 6DB53129EFCA784, 29F95C62² = 6E1D27C3BFA9584 2A05B5A2² = 6E5DFB9C1327A84, 2A0B9A3F² = 6E7CF234A59DB81, 2A1290BA² = 6EA18D5B3F9C724 2A1A4A9E² = 6ECA32F15D7B984, 2A1B3B25² = 6ECF24DAB781359, 2A3C413A² = 6F7D395ABCE8124 2A476D99² = 6FB83E42DC9A571, 2A4B143A² = 6FCB8A7E3951D24, 2A4C8216² = 6FD318CB72A59E4 2A4DB05F² = 6FD9572BEA8C341, 2A4E2616² = 6FDBC5A731289E4, 2A909465² = 713C2586BA4EFD9 2A95045A² = 7153C2B98D6EFA4, 2AA203C6² = 7198FC5BEA63D24, 2AC6320A² = 725A1DCB93FE864 2AE0E1E5² = 72E8FAB3C1456D9, 2AECFF16² = 7329F1A86BCD5E4, 2AF4FBF3² = 7354D1CFB2E68A9 2B064CCD² = 73B1DF48EA65C29, 2B3754C1² = 74BA26E5CFD3981, 2B682385² = 75C264B8EFDA319 2B7CD11D² = 7632B1AFCE85D49, 2B8EAD2F² = 7693DB25F4C8EA1, 2BA08BF3² = 76F53B2DE41C8A9 2BD6C772² = 781DB3259FA6EC4, 2BD72DED² = 781FE4BCA532D69, 2BE34B5A² = 786251EF3C9DBA4 2BF60AF1² = 78C9425FDA3B6E1, 2C071026² = 7926DBEF318C5A4, 2C0E58C7² = 794EF523C8D6AB1 2C10F1D1² = 795D43EF68B2CA1, 2C13FA11² = 796DF84EACB3521, 2C266D5E² = 79D3B5CF6A12E84 2C36F3A9² = 7A2EF8DCB364591, 2C3E862D² = 7A58D64BC1F23E9, 2C4052AA² = 7A62C93DFB158E4 2C40D9D7² = 7A65B4F8CDE3291, 2C51D4CB² = 7AC3B4E2156D8F9, 2C56AB95² = 7ADE852F31C64B9 2C5AC1D5² = 7AF52CE1486DB39, 2C6C5D73² = 7B56DFE8324C1A9, 2C808429² = 7BC6DF2853A4E91 2C8E1EEA² = 7C12986BF53ADE4, 2C9DD515² = 7C6A28E451DF3B9, 2CC11D5E² = 7D2F3C59B1A6E84 2CCA94FB² = 7D64385BACF2E19, 2CCAA761² = 7D649F5EA83B2C1, 2CCAB49F² = 7D64E98325BFAC1 2CCB5F4E² = 7D68A53192EFBC4, 2CD077C7² = 7D852EF436A9CB1, 2CEA441D² = 7E15DCA8F236B49 2CF25C1B² = 7E4351B8C2F6AD9, 2CF9C046² = 7E6CDBFA8951324, 2CFDCC36² = 7E839CFD5A21B64 2D269AC6² = 7F6983BEC5AD124, 2D2FAA8F² = 7F9CAD658243BE1, 2D39C3F3² = 7FD5BEC463218A9 2D92DFBA² = 81CF6EB57AD9324, 2DA64163² = 823DEF5AB176C49, 2DBA32C7² = 82AFD47C93E56B1 2DC16F47² = 82D9347EF6CA5B1, 2DC77289² = 82FB9A76E3C4D51, 2DD816E3² = 835AE726F1BCD49 2E1787C9² = 84C76F5EA239BD1, 2E1B3509² = 84DC9F376E2BA51, 2E1BA56B² = 84DF26EC3751AB9 2E208955² = 84FB57D2AEC1639, 2E261C53² = 851B7DA3FC642E9, 2E2E5107² = 854AD7FBC296E31 2E422C72² = 85BD913EA7F62C4, 2E45F686² = 85D37B6F9A1CE24, 2E51BF2A² = 8617ACD9F53B2E4 2E5D097A² = 8659137BAFDCE24, 2E6B8A09² = 86AD2C7E9F3B451, 2EA1758D² = 87E6C13BD542FA9 2EA1F459² = 87E9A453D2BC6F1, 2EA439C6² = 87F6E1D3AB9C524, 2F0811C6² = 8A3F6C7D19BE524 2F10FD4A² = 8A73E21CFDB5964, 2F790B79² = 8CDAB7246E59F31, 2F7A33E6² = 8CE1963F5BD72A4 2F7D166A² = 8CF2B59D17A63E4, 2F8C2FE7² = 8D4C65B3F9EA271, 2F9152FB² = 8D6AEF7453BC219 2FB3FBB7² = 8E394F72B6A5CD1, 2FB489A1² = 8E3C9DAF265B741, 2FC5B5EB² = 8EA317DC6F425B9 2FE443C6² = 8F59C6B7EA13D24, 2FE6161F² = 8F64AEB239D57C1, 2FF3CAD5² = 8FB6CA4E712D539 2FF7344A² = 8FCB3E91D7A2564, 304CB3A2² = 91CDA57E63BF284, 30588D9E² = 92153BCEAF76D84 30672C1E² = 926DA1FC7BE5384, 306A85B2² = 9281E75BD3A6FC4, 309AFE9F² = 93A7D52F48BE6C1 30D0C179² = 94EF2C856D7AB31, 3145B60F² = 97BC2AD638F54E1, 31460F1F² = 97BE4F623D8A5C1 314F8716² = 97F8A6B12DC35E4, 31619109² = 9867EB4ACFD3251, 316CE996² = 98ADFC157B263E4 3173B46A² = 98D7F5C2A613BE4, 31762D76² = 98E73F51CDAB264, 31C1DBD6² = 9ABC8F52173D6E4 31C32CB1² = 9AC4BE8DF735261, 31D90F4F² = 9B4CFE732D85A61, 31FDE059² = 9C32BA74685DEF1 32109B31² = 9CA7DB2E8345F61, 32132121² = 9CB7A5ED32F8641, 322ACA6F² = 9D4BE3A687F5C21 322D31F6² = 9D5AF7EB23C1864, 32351439² = 9D8C6E7A532F4B1, 32399CF7² = 9DA8E47C23BF651 323E7556² = 9DC7512A36FB8E4, 324BE1FA² = 9E1BAC3D7F56824, 325C8519² = 9E8456DB32AFC71 325D124F² = 9E87CFD2AB53461, 32775F51² = 9F2D8E564CB37A1, 327F1647² = 9F5E3CAD86247B1 32C7352B² = A126BC87FE4D539, 32FEA0D3² = A287415F3BC6DE9, 3301526A² = A2986D7FB5C13E4 33065D87² = A2B896C4E7F5D31, 33074BA7² = A2BE859C37D46F1, 33190F4A² = A32FE8B795DC164 33694C53² = A531FB8C4D762E9, 33793587² = A5984B76ECF2D31, 3380809E² = A5C73BFD29E6184 33831246² = A5D7C6398F1EB24, 338D8AA5² = A61B37FC2D84E59, 339DB60F² = A6837B2C9DF54E1 339E957A² = A6891CB75DF3E24, 33AD2C11² = A6E74B35C8FD921, 33C1F9E3² = A76DC8B2E315F49 33DD6313² = A81F4EDC725B369, 33F8E3B3² = A8D1CB34756EF29, 33FFC921² = A8FE9B573C2D641 341E6836² = A9C5DF28713EB64, 3452DA53² = AB1C3824F5D76E9, 3461CF5E² = AB7E19CFD352684 346E3636² = ABCF57891E2D364, 34824879² = AC52FBED7684931, 348474A5² = AC613EB874DF259 348C4347² = AC9482E7F563DB1, 348CCFBA² = AC981D76BFE5324, 34988A7B² = ACE5326B4F8D719 34A0CCD6² = AD1B8379F65C2E4, 34A91DF5² = AD523E418FB6C79, 34D9D189² = AE936748DC2FB51 34DB26BA² = AE9C356D817BF24, 34E1CC77² = AEC8239647BDF51, 34E8587B² = AEF36D27584CB19 34F2F83A² = AF39B71CE586D24, 34F9A41E² = AF65E1CDB927384, 34FF11BA² = AF89D57E1C63B24 35077B2A² = AFC19375B8D62E4, 350AA2E1² = AFD67E24B3589C1, 353CC5F5² = B123864D5EAFC79 354338E5² = B14E735A682FCD9, 354667B3² = B163A4CFDE58729, 354EE51E² = B19C32ED756AF84 356DAC56² = B269857D13FACE4, 3577AA99² = B2AC49365ED8F71, 357BB5F3² = B2C751EF6D384A9 35835E25² = B2FA864CE7D3159, 358FDE2F² = B34E2D96F578CA1, 35927A63² = B35FA7CD16E8249 35A48D7A² = B3D8C5A167F9E24, 35A60123² = B3E281DF7654AC9, 35B1545B² = B42E7C36FA1D859 35C343A5² = B4A6EF2713DC859, 35D03EF7² = B4FE378A6DC9251, 35D8B9DD² = B53746FADE128C9 35D9E673² = B53F2E41C68D7A9, 35E1E035² = B574E21D386CAF9, 35F5288E² = B5F6D917238AEC4 35F5589A² = B5F81D2796E3CA4, 35FB8A62² = B621E753AF9CD84, 36008AB7² = B643A857F29CED1 36139887² = B6C45D8F2EA9731, 3625B1B6² = B73EC85A1F92D64, 364614BA² = B81A3EDCF659724 364A7726² = B837FED216C59A4, 364DA171² = B84D7A62FC953E1, 364F7DED² = B85A1CEF2374D69 36500385² = B85DA7E4F2C6319, 369994D7² = BA526EDF3874C91, 36AA9241² = BAC6759FDE23481 36E004F3² = BC3461F2D587EA9, 36E51F3D² = BC5763EA2F1D489, 36EB8FB7² = BC839625EA7F4D1 36EBC149² = BC84EA739F526D1, 36EE7D21² = BC97AF6D2853E41, 36F806CA² = BCD932A5F8E1764 36F942BA² = BCE1AD957386F24, 36FA66D1² = BCE984D257F36A1, 370621A1² = BD3A298C5F6E741 370EF0AB² = BD76C48AEF51239, 3715927B² = BDA46C235FE8719, 3719EAF1² = BDC259348AF76E1 371B157A² = BDCA617F5893E24, 37289DB7² = BE27A364C59F8D1, 373F0485² = BEC23745F8A6D19 3753F066² = BF52CD197E368A4, 375635F1² = BF62835D749ACE1, 3799BDDA² = C136BE8275F9DA4 379A498A² = C13A895DB27FE64, 37A9498A² = C1A2D8B7953FE64, 37BF0DBF² = C23A67D95BEF481 37C0E8D3² = C247568BA3F1DE9, 37C1EE27² = C24E73DB65A89F1, 37C214D3² = C24F8163B7DA5E9 37C6B1B9² = C26FA94E38D57B1, 37CD36A6² = C29D1FBE58673A4, 37D6B596² = C2DF61A8B9573E4 37E0ADC1² = C324FD975AE6B81, 37F2FD05² = C3A4F5B7D86E219, 37FB4CDA² = C3DF1B5768E29A4 3805C773² = C428763B5E1FDA9, 3810D8B1² = C475FE93D8B2A61, 381E88F3² = C4D5F8EB23716A9 381EA2D9² = C4D6AE982735BF1, 381F3C3F² = C4DAE2B356F9781, 3833E419² = C56BE4F9D328A71 3833E707² = C56BF98ED47A231, 38372BA1² = C582EFA369D7B41, 383A434A² = C598AB2EF37D164 383F0916² = C5BA37F19268DE4, 38500365² = C631A7E4F2B85D9, 38633F16² = C6B92137A8FD5E4 38701146² = C71389DBE6A5F24, 38745EE5² = C731E6A52B4F8D9, 387ABCBD² = C75ED6B1F4A2389 38AF3B55² = C8D21E75BF64A39, 38B561A1² = C8FDB39A2E56741, 38DEDFBD² = CA243EB7F56D189 38E59F15² = CA5438F2E6D17B9, 38E78D16² = CA61F298B753DE4, 38F914F5² = CADEB84F6513279 3902E5CF² = CB24A5E9387FD61, 390BFE9E² = CB657F23AD1E984, 3957C711² = CD834BE7A596F21 395EA8BF² = CDB4A25697F3E81, 3973AA99² = CE4B63AD9258F71, 397CD439² = CE8D35FA92674B1 399F319B² = CF84715AE26B3D9, 39A38237² = CFA386B9245E7D1, 39AD1B49² = CFE8B3465927AD1 39DB7A8E² = D1378BE259FA6C4, 39DB8A15² = D137FC2E468A5B9, 39E8DD96² = D19867F2BAC53E4 39FA9D5B² = D218F6A3C74BE59, 3A07F6D6² = D279C1865B3FAE4, 3A0F0359² = D2ACE65B87934F1 3A1171D9² = D2BE8C6A57349F1, 3A12CF6B² = D2C875E4F1A36B9, 3A16A267² = D2E4396FCBA8571 3A1FA2D6² = D3259B1CF678AE4, 3A204DDF² = D32A75C9B6FE841, 3A36440F² = D3CA257946BF8E1 3A415F25² = D41AFCE38267B59, 3A574D99² = D4BACEF29836571, 3A5EC30D² = D4F1375B628CEA9 3A648A5E² = D51B62EFC397A84, 3A6E8C07² = D56472FCE9BA831, 3A71154E² = D576F9B28A1E3C4 3A72A229² = D5824CF673BEA91, 3A82A2CD² = D5F746EA3BC1829, 3AACA4CE² = D72AF1B36E895C4 3ABD6FA7² = D7A62C5B9483EF1, 3AC8AA16² = D7F8A5C2B6139E4, 3AD9ABD6² = D875AF1BC2396E4 3AFD24B2² = D97AEF235168BC4, 3B2A21D3² = DAC72865FB413E9, 3B300553² = DAF2B76413C58E9 3B35A175² = DB1C3A82E465F79, 3B36E896² = DB25AFC169837E4, 3B4C2562² = DBC2FE163A57984 3B603895² = DC57E3F2A4186B9, 3B6AB42D² = DCA5B8672134FE9, 3B6ABC07² = DCA5F2B79E64831 3BA2E9BF² = DE47F6AB5293C81, 3BA717AB² = DE671F8B54A2C39, 3BA90D59² = DE75BC9A63428F1 3BB3B3F3² = DEC5317264FB8A9, 3BBE3486² = DF13987C5AEB624, 3BD21CC6² = DFA85B67C13E924 3C0C75BA² = E15D7CA6F938B24, 3C0D27CB² = E162B5438CD7AF9, 3C2C686B² = E24D8A6375F1CB9 3C2D5CA3² = E254B761AD38FC9, 3C383457² = E2A64DFB8C37591, 3C38B161² = E2A9FB38D5746C1 3C4F55B5² = E3548C2DA67B1F9, 3C54AD76² = E37CD519AF8B264, 3C6933DB² = E417B8A3C26FD59 3C724BE7² = E45C69BF83D2A71, 3C80D243² = E4CA36257B1FD89, 3C9F22B6² = E5AFB3172C8D964 3CA0CF62² = E5BC639D27FA184, 3CA12D31² = E5BF2A8D79C4361, 3CA12EC6² = E5BF368AD97C124 3CB3FCA9² = E64DCFA85B32791, 3CBB1F8E² = E683F91AD57B2C4, 3CC11673² = E6B1428C35DF7A9 3CD514F7² = E74932FACBD8651, 3CD7C562² = E75DA6312CBF984, 3CF2A963² = E82A56B173FDC49 3CF92D06² = E85BFA36D971C24, 3D03C79D² = E8ACD2F1B537649, 3D0D8323² = E8F713542BAD6C9 3D1A2A06² = E957AB36C1DF824, 3D1D961E² = E971CF5A6D32B84, 3D2F1A79² = E9F7B48652ACD31 3D2F31DA² = E9F86753BC12DA4, 3D43F6E2² = EA975B2DC631F84, 3D766C3A² = EC1A65B9738FD24 3D78A0A9² = EC2B5678D43AF91, 3D803873² = EC65B1F4D7283A9, 3D937046² = ECF986B7DA15324 3D9A1EAF² = ED2CF6854397BA1, 3D9B904B² = ED3814BCA2675F9, 3D9C0BA2² = ED3BCA961F75284 3DAC14B6² = EDB758A923CF164, 3DAEB027² = EDCB7268439A5F1, 3DE2B5DE² = EF5D371692BAC84 3DE8CC85² = EF8C52AB6743D19, 3DEC4A4F² = EFA7582BD39C461, 3E20444E² = F13A526EDB987C4 3E528CD3² = F2C16D4B8A375E9, 3E55DFD7² = F2DB53A8C7E4691, 3E73FF99² = F3C645DBEA82971 3E76BC16² = F3DBA2C967851E4, 3E875D19² = F45D8AB6E392C71, 3EA1C4E2² = F52C196B3AED784 3EAC16B3² = F57CEAD368B4129, 3EB3B6ED² = F5B8AC41E23D769, 3EE34F43² = F72E43A1D5C6B89 3EE5C723² = F741AB2D3856EC9, 3EEE8F07² = F786B95A4ECD231, 3EF51949² = F7BA2E8C43956D1 3EF62D16² = F7C2A915638BDE4, 3EF914D1² = F7D986EBC4352A1, 3EFB241A² = F7E9BDC681352A4 3F019395² = F81C6A5D23E74B9, 3F027EA9² = F823A5D674ECB91, 3F0359EB² = F82A64CE5173DB9 3F2F0172² = F982B57A3DE16C4, 3F33A0CE² = F9A738EDB1625C4, 3F47AFC9² = FA45C97E8326BD1 3F4A2D49² = FA597C82436BED1, 3F6AF94D² = FB5D3674C8AE129, 3F73C956² = FBA3176D59C28E4 3F784B2A² = FBC6D853971A2E4, 3F7A0343² = FBD47C215E6A389, 3F951516² = FCAB73261589DE4 3F9D1865² = FCEB268A43517D9, 3FACF596² = FD695BAC12873E4, 3FB285F1² = FD95A6B27384CE1 3FD6B9C6² = FEB638A91D7C524, 3FD8F786² = FEC81B69573DA24
--Thundergnat (talk) 22:02, 3 February 2023 (UTC)