Talk:Bell numbers: Difference between revisions

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m (→‎size of Bell numbers: added a word to a talk section.)
m (→‎size of Bell numbers: added which computer programming language was used for the (extra) calculations.)
 
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Here are the results:
Here are the results:


bell( 99) has 115 decimal digits.
Bell( 99) has 115 decimal digits.
bell( 199) has 275 decimal digits.
Bell( 199) has 275 decimal digits.
bell( 299) has 453 decimal digits.
Bell( 299) has 453 decimal digits.
bell( 399) has 643 decimal digits.
Bell( 399) has 643 decimal digits.
bell( 499) has 842 decimal digits.
Bell( 499) has 842 decimal digits.
bell( 599) has 1,048 decimal digits.
Bell( 599) has 1,048 decimal digits.
bell( 699) has 1,260 decimal digits.
Bell( 699) has 1,260 decimal digits.
bell( 799) has 1,478 decimal digits.
Bell( 799) has 1,478 decimal digits.
bell( 899) has 1,700 decimal digits.
Bell( 899) has 1,700 decimal digits.
bell( 999) has 1,926 decimal digits.
Bell( 999) has 1,926 decimal digits.
bell(1,099) has 2,155 decimal digits.
Bell( 1,099) has 2,155 decimal digits.
bell(1,199) has 2,388 decimal digits.
Bell( 1,199) has 2,388 decimal digits.
bell(1,299) has 2,625 decimal digits.
Bell( 1,299) has 2,625 decimal digits.
bell(1,399) has 2,864 decimal digits.
Bell( 1,399) has 2,864 decimal digits.
bell(1,499) has 3,105 decimal digits.
Bell( 1,499) has 3,105 decimal digits.
bell(1,599) has 3,349 decimal digits.
Bell( 1,599) has 3,349 decimal digits.
bell(1,699) has 3,595 decimal digits.
Bell( 1,699) has 3,595 decimal digits.
bell(1,799) has 3,844 decimal digits.
Bell( 1,799) has 3,844 decimal digits.
bell(1,899) has 4,095 decimal digits.
Bell( 1,899) has 4,095 decimal digits.
bell(1,999) has 4,347 decimal digits.
Bell( 1,999) has 4,347 decimal digits.
bell(2,099) has 4,601 decimal digits.
Bell( 2,099) has 4,601 decimal digits.
bell(2,199) has 4,858 decimal digits.
Bell( 2,199) has 4,858 decimal digits.
bell(2,299) has 5,115 decimal digits.
Bell( 2,299) has 5,115 decimal digits.
bell(2,399) has 5,375 decimal digits.
Bell( 2,399) has 5,375 decimal digits.
bell(2,499) has 5,636 decimal digits.
Bell( 2,499) has 5,636 decimal digits.
bell(2,599) has 5,898 decimal digits.
Bell( 2,599) has 5,898 decimal digits.
bell(2,699) has 6,162 decimal digits.
Bell( 2,699) has 6,162 decimal digits.
bell(2,799) has 6,428 decimal digits.
Bell( 2,799) has 6,428 decimal digits.
bell(2,899) has 6,694 decimal digits.
Bell( 2,899) has 6,694 decimal digits.
bell(2,999) has 6,962 decimal digits.
Bell( 2,999) has 6,962 decimal digits.
bell(3,099) has 7,231 decimal digits.
Bell( 3,099) has 7,231 decimal digits.
bell(3,199) has 7,502 decimal digits.
Bell( 3,199) has 7,502 decimal digits.
bell(3,299) has 7,773 decimal digits.
Bell( 3,299) has 7,773 decimal digits.
bell(3,399) has 8,046 decimal digits.
Bell( 3,399) has 8,046 decimal digits.
bell(3,499) has 8,320 decimal digits.
Bell( 3,499) has 8,320 decimal digits.
bell(3,599) has 8,595 decimal digits.
Bell( 3,599) has 8,595 decimal digits.
bell(3,699) has 8,871 decimal digits.
Bell( 3,699) has 8,871 decimal digits.
bell(3,799) has 9,148 decimal digits.
Bell( 3,799) has 9,148 decimal digits.
bell(3,899) has 9,426 decimal digits.
Bell( 3,899) has 9,426 decimal digits.
bell(3,999) has 9,704 decimal digits.
Bell( 3,999) has 9,704 decimal digits.
bell(4,099) has 9,984 decimal digits.
Bell( 4,099) has 9,984 decimal digits.
bell(4,199) has 10,265 decimal digits.
Bell( 4,199) has 10,265 decimal digits.
bell(4,299) has 10,547 decimal digits.
Bell( 4,299) has 10,547 decimal digits.
bell(4,399) has 10,829 decimal digits.
Bell( 4,399) has 10,829 decimal digits.
bell(4,499) has 11,112 decimal digits.
Bell( 4,499) has 11,112 decimal digits.
bell(4,599) has 11,396 decimal digits.
Bell( 4,599) has 11,396 decimal digits.
bell(4,699) has 11,682 decimal digits.
Bell( 4,699) has 11,682 decimal digits.
·
·
·
Bell( 4,999) has 12,542 decimal digits 00:14.028s
Bell( 5,999) has 15,455 decimal digits 00:25.826s
Bell( 6,999) has 18,431 decimal digits 00:45.070s
Bell( 7,999) has 21,462 decimal digits 01:15.602s
Bell( 8,999) has 24,541 decimal digits 01:58.833s
Bell( 9,999) has 27,662 decimal digits 02:55.139s
Bell(10,999) has 30,821 decimal digits 04:02.626s
Bell(11,999) has 34,015 decimal digits 05:42.494s
Bell(12,999) has 37,241 decimal digits 07:44.976s
Bell(13,999) has 40,496 decimal digits 10:15.881s
Bell(14,999) has 43,779 decimal digits 14:21.739s
Bell(15,999) has 47,087 decimal digits 19:00.776s
Bell(16,999) has 50,420 decimal digits 24:24.359s
Bell(17,999) has 53,775 decimal digits 31:35.206s
Bell(18,999) has 57,151 decimal digits 40:56.806s
Bell(19,999) has 60,548 decimal digits 55:01.778s
..
Bell(20,299) has 61,571 decimal digits 59:00.454s


::::::::::::::::::::: -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 16:35, 28 July 2019 (UTC)
::::::::::::::::::::: -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 16:35, 28 July 2019 (UTC) &nbsp; ---- (1<sup>st</sup> part using REXX)
::::::::::::::::::::: -- [[User:Horst.h|Horst.h]] 07:27, 4 February 2020 (UTC) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ---- (2<sup>nd</sup> part using Pascal)

Latest revision as of 21:02, 11 June 2020

size of Bell numbers

For the sake of curiosity,   I let the REXX program run wild and had it record the size of some Bell numbers.

Here are the results: 

             Bell(    99)  has     115  decimal digits.
             Bell(   199)  has     275  decimal digits.
             Bell(   299)  has     453  decimal digits.
             Bell(   399)  has     643  decimal digits.
             Bell(   499)  has     842  decimal digits.
             Bell(   599)  has   1,048  decimal digits.
             Bell(   699)  has   1,260  decimal digits.
             Bell(   799)  has   1,478  decimal digits.
             Bell(   899)  has   1,700  decimal digits.
             Bell(   999)  has   1,926  decimal digits.
             Bell( 1,099)  has   2,155  decimal digits.
             Bell( 1,199)  has   2,388  decimal digits.
             Bell( 1,299)  has   2,625  decimal digits.
             Bell( 1,399)  has   2,864  decimal digits.
             Bell( 1,499)  has   3,105  decimal digits.
             Bell( 1,599)  has   3,349  decimal digits.
             Bell( 1,699)  has   3,595  decimal digits.
             Bell( 1,799)  has   3,844  decimal digits.
             Bell( 1,899)  has   4,095  decimal digits.
             Bell( 1,999)  has   4,347  decimal digits.
             Bell( 2,099)  has   4,601  decimal digits.
             Bell( 2,199)  has   4,858  decimal digits.
             Bell( 2,299)  has   5,115  decimal digits.
             Bell( 2,399)  has   5,375  decimal digits.
             Bell( 2,499)  has   5,636  decimal digits.
             Bell( 2,599)  has   5,898  decimal digits.
             Bell( 2,699)  has   6,162  decimal digits.
             Bell( 2,799)  has   6,428  decimal digits.
             Bell( 2,899)  has   6,694  decimal digits.
             Bell( 2,999)  has   6,962  decimal digits.
             Bell( 3,099)  has   7,231  decimal digits.
             Bell( 3,199)  has   7,502  decimal digits.
             Bell( 3,299)  has   7,773  decimal digits.
             Bell( 3,399)  has   8,046  decimal digits.
             Bell( 3,499)  has   8,320  decimal digits.
             Bell( 3,599)  has   8,595  decimal digits.
             Bell( 3,699)  has   8,871  decimal digits.
             Bell( 3,799)  has   9,148  decimal digits.
             Bell( 3,899)  has   9,426  decimal digits.
             Bell( 3,999)  has   9,704  decimal digits.
             Bell( 4,099)  has   9,984  decimal digits.
             Bell( 4,199)  has  10,265  decimal digits.
             Bell( 4,299)  has  10,547  decimal digits.
             Bell( 4,399)  has  10,829  decimal digits.
             Bell( 4,499)  has  11,112  decimal digits.
             Bell( 4,599)  has  11,396  decimal digits.
             Bell( 4,699)  has  11,682  decimal digits. 
               ·
               ·
               ·
             Bell( 4,999) has 12,542 decimal digits 00:14.028s
             Bell( 5,999) has 15,455 decimal digits 00:25.826s
             Bell( 6,999) has 18,431 decimal digits 00:45.070s
             Bell( 7,999) has 21,462 decimal digits 01:15.602s
             Bell( 8,999) has 24,541 decimal digits 01:58.833s
             Bell( 9,999) has 27,662 decimal digits 02:55.139s
             Bell(10,999) has 30,821 decimal digits 04:02.626s
             Bell(11,999) has 34,015 decimal digits 05:42.494s
             Bell(12,999) has 37,241 decimal digits 07:44.976s
             Bell(13,999) has 40,496 decimal digits 10:15.881s
             Bell(14,999) has 43,779 decimal digits 14:21.739s
             Bell(15,999) has 47,087 decimal digits 19:00.776s
             Bell(16,999) has 50,420 decimal digits 24:24.359s
             Bell(17,999) has 53,775 decimal digits 31:35.206s
             Bell(18,999) has 57,151 decimal digits 40:56.806s
             Bell(19,999) has 60,548 decimal digits 55:01.778s
             ..
             Bell(20,299) has 61,571 decimal digits 59:00.454s
-- Gerard Schildberger (talk) 16:35, 28 July 2019 (UTC)   ---- (1st part using REXX)
-- Horst.h 07:27, 4 February 2020 (UTC)                           ---- (2nd part using Pascal)
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