Primes: n*2^m+1: Difference between revisions

Content added Content deleted
m (→‎{{header|Raku}}: show m value too. seems like an obvious choice in retrospect)
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=={{header|Raku}}==
=={{header|Raku}}==
First 382 in less than a second. 383 pushes the total accumulated time over 25 seconds.
First 382 in less than a second. 383 pushes the total accumulated time over 25 seconds.
<syntaxhighlight lang="raku" line>-> $n { (^∞).map: -> $m { if (my $p = $n × 2 ** $m + 1).is-prime { say "$n: $p"; last } } } for 1..400</syntaxhighlight>
<syntaxhighlight lang="raku" line>-> $n { (^∞).map: -> $m { if (my $p = $n × 2 ** $m + 1).is-prime { printf "%3d %4d: %d\n",$n,$m,$p; last } } } for 1..400</syntaxhighlight>
{{out}}
{{out}}
<pre style="height:20ex;overflow:scroll;">1: 2
<pre style="height:20ex;overflow:scroll;overflow-wrap;normal;word-wrap:normal;white-space:pre;"> 1 0: 2
2: 3
2 0: 3
3: 7
3 1: 7
4: 5
4 0: 5
5: 11
5 1: 11
6: 7
6 0: 7
7: 29
7 2: 29
8: 17
8 1: 17
9: 19
9 1: 19
10: 11
10 0: 11
11: 23
11 1: 23
12: 13
12 0: 13
13: 53
13 2: 53
14: 29
14 1: 29
15: 31
15 1: 31
16: 17
16 0: 17
17: 137
17 3: 137
18: 19
18 0: 19
19: 1217
19 6: 1217
20: 41
20 1: 41
21: 43
21 1: 43
22: 23
22 0: 23
23: 47
23 1: 47
24: 97
24 2: 97
25: 101
25 2: 101
26: 53
26 1: 53
27: 109
27 2: 109
28: 29
28 0: 29
29: 59
29 1: 59
30: 31
30 0: 31
31: 7937
31 8: 7937
32: 257
32 3: 257
33: 67
33 1: 67
34: 137
34 2: 137
35: 71
35 1: 71
36: 37
36 0: 37
37: 149
37 2: 149
38: 1217
38 5: 1217
39: 79
39 1: 79
40: 41
40 0: 41
41: 83
41 1: 83
42: 43
42 0: 43
43: 173
43 2: 173
44: 89
44 1: 89
45: 181
45 2: 181
46: 47
46 0: 47
47: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
47 583: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
48: 97
48 1: 97
49: 197
49 2: 197
50: 101
50 1: 101
51: 103
51 1: 103
52: 53
52 0: 53
53: 107
53 1: 107
54: 109
54 1: 109
55: 881
55 4: 881
56: 113
56 1: 113
57: 229
57 2: 229
58: 59
58 0: 59
59: 1889
59 5: 1889
60: 61
60 0: 61
61: 977
61 4: 977
62: 7937
62 7: 7937
63: 127
63 1: 127
64: 257
64 2: 257
65: 131
65 1: 131
66: 67
66 0: 67
67: 269
67 2: 269
68: 137
68 1: 137
69: 139
69 1: 139
70: 71
70 0: 71
71: 569
71 3: 569
72: 73
72 0: 73
73: 293
73 2: 293
74: 149
74 1: 149
75: 151
75 1: 151
76: 1217
76 4: 1217
77: 617
77 3: 617
78: 79
78 0: 79
79: 317
79 2: 317
80: 641
80 3: 641
81: 163
81 1: 163
82: 83
82 0: 83
83: 167
83 1: 167
84: 337
84 2: 337
85: 1361
85 4: 1361
86: 173
86 1: 173
87: 349
87 2: 349
88: 89
88 0: 89
89: 179
89 1: 179
90: 181
90 1: 181
91: 23297
91 8: 23297
92: 11777
92 7: 11777
93: 373
93 2: 373
94: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
94 582: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
95: 191
95 1: 191
96: 97
96 0: 97
97: 389
97 2: 389
98: 197
98 1: 197
99: 199
99 1: 199
100: 101
100 0: 101
101: 809
101 3: 809
102: 103
102 0: 103
103: 6750209
103 16: 6750209
104: 3329
104 5: 3329
105: 211
105 1: 211
106: 107
106 0: 107
107: 857
107 3: 857
108: 109
108 0: 109
109: 6977
109 6: 6977
110: 881
110 3: 881
111: 223
111 1: 223
112: 113
112 0: 113
113: 227
113 1: 227
114: 229
114 1: 229
115: 461
115 2: 461
116: 233
116 1: 233
117: 937
117 3: 937
118: 1889
118 4: 1889
119: 239
119 1: 239
120: 241
120 1: 241
121: 30977
121 8: 30977
122: 977
122 3: 977
123: 7873
123 6: 7873
124: 7937
124 6: 7937
125: 251
125 1: 251
126: 127
126 0: 127
127: 509
127 2: 509
128: 257
128 1: 257
129: 1033
129 3: 1033
130: 131
130 0: 131
131: 263
131 1: 263
132: 2113
132 4: 2113
133: 2129
133 4: 2129
134: 269
134 1: 269
135: 271
135 1: 271
136: 137
136 0: 137
137: 1097
137 3: 1097
138: 139
138 0: 139
139: 557
139 2: 557
140: 281
140 1: 281
141: 283
141 1: 283
142: 569
142 2: 569
143: 1288029493427961857
143 53: 1288029493427961857
144: 577
144 2: 577
145: 9281
145 6: 9281
146: 293
146 1: 293
147: 37633
147 8: 37633
148: 149
148 0: 149
149: 1193
149 3: 1193
150: 151
150 0: 151
151: 2417
151 4: 2417
152: 1217
152 3: 1217
153: 307
153 1: 307
154: 617
154 2: 617
155: 311
155 1: 311
156: 157
156 0: 157
157: 40193
157 8: 40193
158: 317
158 1: 317
159: 10177
159 6: 10177
160: 641
160 2: 641
161: 1289
161 3: 1289
162: 163
162 0: 163
163: 653
163 2: 653
164: 83969
164 9: 83969
165: 331
165 1: 331
166: 167
166 0: 167
167: 21377
167 7: 21377
168: 337
168 1: 337
169: 677
169 2: 677
170: 1361
170 3: 1361
171: 43777
171 8: 43777
172: 173
172 0: 173
173: 347
173 1: 347
174: 349
174 1: 349
175: 701
175 2: 701
176: 353
176 1: 353
177: 709
177 2: 709
178: 179
178 0: 179
179: 359
179 1: 359
180: 181
180 0: 181
181: 2897
181 4: 2897
182: 23297
182 7: 23297
183: 367
183 1: 367
184: 11777
184 6: 11777
185: 1481
185 3: 1481
186: 373
186 1: 373
187: 11969
187 6: 11969
188: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
188 581: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
189: 379
189 1: 379
190: 191
190 0: 191
191: 383
191 1: 383
192: 193
192 0: 193
193: 773
193 2: 773
194: 389
194 1: 389
195: 3121
195 4: 3121
196: 197
196 0: 197
197: 6455297
197 15: 6455297
198: 199
198 0: 199
199: 797
199 2: 797
200: 401
200 1: 401
201: 1609
201 3: 1609
202: 809
202 2: 809
203: 1662977
203 13: 1662977
204: 409
204 1: 409
205: 821
205 2: 821
206: 6750209
206 15: 6750209
207: 829
207 2: 829
208: 3329
208 4: 3329
209: 419
209 1: 419
210: 211
210 0: 211
211: 221249537
211 20: 221249537
212: 1697
212 3: 1697
213: 853
213 2: 853
214: 857
214 2: 857
215: 431
215 1: 431
216: 433
216 1: 433
217: 16011773855979890802689
217 66: 16011773855979890802689
218: 6977
218 5: 6977
219: 439
219 1: 439
220: 881
220 2: 881
221: 443
221 1: 443
222: 223
222 0: 223
223: 57089
223 8: 57089
224: 449
224 1: 449
225: 1801
225 3: 1801
226: 227
226 0: 227
227: 464897
227 11: 464897
228: 229
228 0: 229
229: 14657
229 6: 14657
230: 461
230 1: 461
231: 463
231 1: 463
232: 233
232 0: 233
233: 467
233 1: 467
234: 937
234 2: 937
235: 941
235 2: 941
236: 1889
236 3: 1889
237: 3793
237 4: 3793
238: 239
238 0: 239
239: 479
239 1: 479
240: 241
240 0: 241
241: 16561393893377
241 36: 16561393893377
242: 30977
242 7: 30977
243: 487
243 1: 487
244: 977
244 2: 977
245: 491
245 1: 491
246: 7873
246 5: 7873
247: 15809
247 6: 15809
248: 7937
248 5: 7937
249: 499
249 1: 499
250: 251
250 0: 251
251: 503
251 1: 503
252: 1009
252 2: 1009
253: 1013
253 2: 1013
254: 509
254 1: 509
255: 1021
255 2: 1021
256: 257
256 0: 257
257: 249632952651006185613150855026822179503549278818199928480857894651449200648869292015617
257 279: 249632952651006185613150855026822179503549278818199928480857894651449200648869292015617
258: 1033
258 2: 1033
259: 71193377898497
259 38: 71193377898497
260: 521
260 1: 521
261: 523
261 1: 523
262: 263
262 0: 263
263: 141197049857
263 29: 141197049857
264: 2113
264 3: 2113
265: 1061
265 2: 1061
266: 2129
266 3: 2129
267: 1069
267 2: 1069
268: 269
268 0: 269
269: 2153
269 3: 2153
270: 271
270 0: 271
271: 4337
271 4: 4337
272: 557057
272 11: 557057
273: 547
273 1: 547
274: 1097
274 2: 1097
275: 35201
275 7: 35201
276: 277
276 0: 277
277: 1109
277 2: 1109
278: 557
278 1: 557
279: 1117
279 2: 1117
280: 281
280 0: 281
281: 563
281 1: 563
282: 283
282 0: 283
283: 303868936193
283 30: 303868936193
284: 569
284 1: 569
285: 571
285 1: 571
286: 1288029493427961857
286 52: 1288029493427961857
287: 2297
287 3: 2297
288: 577
288 1: 577
289: 295937
289 10: 295937
290: 9281
290 5: 9281
291: 4657
291 4: 4657
292: 293
292 0: 293
293: 587
293 1: 587
294: 37633
294 7: 37633
295: 1181
295 2: 1181
296: 593
296 1: 593
297: 2377
297 3: 2377
298: 1193
298 2: 1193
299: 599
299 1: 599
300: 601
300 1: 601
301: 4817
301 4: 4817
302: 2417
302 3: 2417
303: 607
303 1: 607
304: 1217
304 2: 1217
305: 2441
305 3: 2441
306: 307
306 0: 307
307: 1229
307 2: 1229
308: 617
308 1: 617
309: 619
309 1: 619
310: 311
310 0: 311
311: 159233
311 9: 159233
312: 313
312 0: 313
313: 5009
313 4: 5009
314: 40193
314 7: 40193
315: 631
315 1: 631
316: 317
316 0: 317
317: 40577
317 7: 40577
318: 10177
318 5: 10177
319: 1277
319 2: 1277
320: 641
320 1: 641
321: 643
321 1: 643
322: 1289
322 2: 1289
323: 647
323 1: 647
324: 1297
324 2: 1297
325: 1301
325 2: 1301
326: 653
326 1: 653
327: 2617
327 3: 2617
328: 83969
328 8: 83969
329: 659
329 1: 659
330: 331
330 0: 331
331: 5297
331 4: 5297
332: 2657
332 3: 2657
333: 10657
333 5: 10657
334: 21377
334 6: 21377
335: 175636481
335 19: 175636481
336: 337
336 0: 337
337: 5393
337 4: 5393
338: 677
338 1: 677
339: 2713
339 3: 2713
340: 1361
340 2: 1361
341: 683
341 1: 683
342: 43777
342 7: 43777
343: 1373
343 2: 1373
344: 2753
344 3: 2753
345: 691
345 1: 691
346: 347
346 0: 347
347: 2777
347 3: 2777
348: 349
348 0: 349
349: 357377
349 10: 357377
350: 701
350 1: 701
351: 1437697
351 12: 1437697
352: 353
352 0: 353
353: 740294657
353 21: 740294657
354: 709
354 1: 709
355: 22721
355 6: 22721
356: 11393
356 5: 11393
357: 1429
357 2: 1429
358: 359
358 0: 359
359: 719
359 1: 719
360: 23041
360 6: 23041
361: 96905199617
361 28: 96905199617
362: 2897
362 3: 2897
363: 727
363 1: 727
364: 23297
364 6: 23297
365: 11681
365 5: 11681
366: 367
366 0: 367
367: 1503233
367 12: 1503233
368: 11777
368 5: 11777
369: 739
369 1: 739
370: 1481
370 2: 1481
371: 743
371 1: 743
372: 373
372 0: 373
373: 1493
373 2: 1493
374: 11969
374 5: 11969
375: 751
375 1: 751
376: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
376 580: 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177
377: 772097
377 11: 772097
378: 379
378 0: 379
379: 6209537
379 14: 6209537
380: 761
380 1: 761
381: 3049
381 3: 3049
382: 383
382 0: 383
383: 11693945185971565896920916176753769281418376445302724140914106576604960252116205468905429628661873192664799900323401294531072465400997845029722990758855393414014415817179228695517839305455702961095094596926622802342799137107509767542153683280899327558274011281588755909890607960835140712630830933978801393590855371457894042968287926562847826310125559303901351824980311279986492793008248059208985097459095049075732193161126922389950080848742183055141518931962329796357335158955758486061360294773463111842316561192036096585088267052290025273980611139612478214293303564141730470933187279751846912161098280963960686648202780382930927114525552446602357404550468641236474238897222372272898562140228039886991631673186995098587756569010989657598363351856992206826342175536967926902668804937341514786382018872919876784539436965319822540039220122728568129762675989071883516915894567537630751801497223803135172643203770169327233350522822938630733126833423559124391441973547309619943019237705312515304113424366223388373606440335025932390399945086075175009569272136997988977568262327875607690344516747889133920438003737328060362069562108376086129279385800262195985974144460914705464874882401864174074796383557151951711000378565395148939760434428093058777242253682181813425273399277638142811972296863003382484684788329148214958434057306251885787781329925372401240556666727438408378656900945061970219566055969587385482421092779185798692904507774583223151161566406541599486350580593707153172641891804260963429951215526999443852964537303345106153870841180251403751871193132336680841124129779119999935597712685839886558769823834654994044516702436738265181698869580022472787153167463772595005393815295009535991557511340157179280662197799109181549751673455040271529561595718940092424231253150263268513067972937042222806102175350331146290864120703025608712817763221723427454002746818270565050919821097445991953785331131470462682015972815241620750337
383 6393: 11693945185971565896920916176753769281418376445302724140914106576604960252116205468905429628661873192664799900323401294531072465400997845029722990758855393414014415817179228695517839305455702961095094596926622802342799137107509767542153683280899327558274011281588755909890607960835140712630830933978801393590855371457894042968287926562847826310125559303901351824980311279986492793008248059208985097459095049075732193161126922389950080848742183055141518931962329796357335158955758486061360294773463111842316561192036096585088267052290025273980611139612478214293303564141730470933187279751846912161098280963960686648202780382930927114525552446602357404550468641236474238897222372272898562140228039886991631673186995098587756569010989657598363351856992206826342175536967926902668804937341514786382018872919876784539436965319822540039220122728568129762675989071883516915894567537630751801497223803135172643203770169327233350522822938630733126833423559124391441973547309619943019237705312515304113424366223388373606440335025932390399945086075175009569272136997988977568262327875607690344516747889133920438003737328060362069562108376086129279385800262195985974144460914705464874882401864174074796383557151951711000378565395148939760434428093058777242253682181813425273399277638142811972296863003382484684788329148214958434057306251885787781329925372401240556666727438408378656900945061970219566055969587385482421092779185798692904507774583223151161566406541599486350580593707153172641891804260963429951215526999443852964537303345106153870841180251403751871193132336680841124129779119999935597712685839886558769823834654994044516702436738265181698869580022472787153167463772595005393815295009535991557511340157179280662197799109181549751673455040271529561595718940092424231253150263268513067972937042222806102175350331146290864120703025608712817763221723427454002746818270565050919821097445991953785331131470462682015972815241620750337
384: 769
384 1: 769
385: 98561
385 8: 98561
386: 773
386 1: 773
387: 1549
387 2: 1549
388: 389
388 0: 389
389: 796673
389 11: 796673
390: 3121
390 3: 3121
391: 6257
391 4: 6257
392: 3137
392 3: 3137
393: 787
393 1: 787
394: 6455297
394 14: 6455297
395: 12641
395 5: 12641
396: 397
396 0: 397
397: 6353
397 4: 6353
398: 797
398 1: 797
399: 1597
399 2: 1597
400: 401</pre>
400 0: 401</pre>


=={{header|Wren}}==
=={{header|Wren}}==
Retrieved from "https://rosettacode.org/wiki/Primes:_n*2%5Em%2B1"