ThurmNumbers

MathBabbler's MBNA (MathBabbler Number Analyst) is a collection of programs that "categorize" numbers. There too many categories to enumerate, but some example categories are: prime or composite; even or odd; evil or odious; happy or unhappy; is Friedman; is palindromic; and so on.

MathBabbler wanted his own category of number so he defined the ThurmNumber. ThurmNumbers are numbers that when represented in score plus number format have a prime score and prime plus number. The smallest ThurmNumber is 42 (2 score 2; 2 is prime); 43 is a ThurmNumber (2 score 3; both 2 and 3 are prime); 87 (4 score 7) is not a ThurmNumber because 4 is not prime; 100 (5 score 0) is not a ThurmNumber because 0 is not prime.

    42,    43,    45,    47,    51,    53,    57,    59, 
    62,    63,    65,    67,    71,    73,    77,    79, 
   102,   103,   105,   107,   111,   113,   117,   119, 
   142,   143,   145,   147,   151,   153,   157,   159, 
   222,   223,   225,   227,   231,   233,   237,   239, 
   262,   263,   265,   267,   271,   273,   277,   279, 
   342,   343,   ,   347,   351,   353,   357,   359, 
   382,   383,   385,   387,   391,   393,   397,   399, 
   462,   463,   465,   467,   471,   473,   477,   479, 
   582,   583,   585,   587,   591,   593,   597,   599, 
   622,   623,   625,   627,   631,   633,   637,   639, 
   742,   743,   745,   747,   751,   753,   757,   759, 
   822,   823,   825,   827,   831,   833,   837,   839, 
   862,   863,   865,   867,   871,   873,   877,   879, 
   942,   943,   945,   947,   951,   953,   957,   959, 
  1062,  1063,  1065,  1067,  1071,  1073,  1077,  1079, 
  1182,  1183,  1185,  1187,  1191,  1193,  1197,  1199, 
  1222,  1223,  1225,  1227,  1231,  1233,  1237,  1239, 
  1342,  1343,  1345,  1347,  1351,  1353,  1357,  1359, 
  1422,  1423,  1425,  1427,  1431,  1433,  1437,  1439, 
  1462,  1463,  1465,  1467,  1471,  1473,  1477,  1479, 
  1582,  1583,  1585,  1587,  1591,  1593,  1597,  1599, 
  1662,  1663,  1665,  1667,  1671,  1673,  1677,  1679, 
  1782,  1783,  1785,  1787,  1791,  1793,  1797,  1799, 
  1942,  1943,  1945,  1947,  1951,  1953,  1957,  1959, 
  2022,  2023,  2025,  2027,  2031,  2033,  2037,  2039, 
  2062,  2063,  2065,  2067,  2071,  2073,  2077,  2079, 
  2142,  2143,  2145,  2147,  2151,  2153,  2157,  2159, 
  2182,  2183,  2185,  2187,  2191,  2193,  2197,  2199, 
  ....,  2557,  ....,  2799,  ....,  2987,  ....,  2999,
  ....,  3031,  ....,  3265,  ....,  3599,  ....,  3827,
  ....,  3993,  ....,  3997,  3999,  ....,  5151,  ....,   
  8191,  ...., 73437, ....., 766667, .....

There were 30 nBABs (number Basic Arithmetic Bits) for ThurmNumbers when this collection was created on 20 July 2009.

MathBabbler wrote a C++ program to print all ThurmNumbers between 0 and 99,999. 5352 of the 100,000 numbers are ThurmNumbers and 871 of them are prime numbers.

ThurmNumbers Added in 2015
1597, ..., 2031, ..., 4225, ..., 6999, ..., 9999, ..., 93039, ...,
ThurmNumbers Added in 2016
3023, ..., 3033, ..., 3983, ..., 4222, ..., 4799, ..., 4837, ..., 15151, ..., 32543, ...,
ThurmNumbers Added in 2017
2551, ..., 32142, ..., 72627, ..., 73837, ..., 74547, ..., 75357, ..., 75957, ..., 76067, ..., 76467, ..., 76667, ..., 77077, ..., 77277, ..., 78387, ..., 78587, ..., 79797, ..., 93839, ..., 95759, ..., 99399, ..., 99999, ...,

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 20 July 2009
+ added 225 on 22 July 2009
+ added 599 on 26 July 2009
+ added 1787 on 17 September 2009
+ added 942 on 16 October 2009
+ added 103 on 22 October 2009
+ added 107 on 10 November 2009
+ added 111 on 17 November 2009
+ added 2999 on 23 November 2009
+ added 142 on 29 November 2009
+ added 143 on 29 November 2009
+ added 3031 on 30 November 2009
+ added 1791 on 15 December 2009
+ added 1947 on 23 December 2009
+ added 73437 on 08 February 2010
+ added 1799 on 16 February 2010
+ added 145 on 11 March 2010
+ added 343 on 19 March 2010
+ added 2799 on 01 April 2010
+ added 147 on 13 April 2010
+ added 1942 on 13 July 2010
+ added 2182 on 02 August 2010
+ added 399 on 19 December 2010
+ added 157 on 21 June 2011
+ added 1599 on 24 July 2011
+ added 3265 on 17 December 2011
+ added 2557 on 09 February 2012
+ added 1071 on 14 May 2012
+ added 151 on 04 October 2012
+ added 223 on 17 October 2012
+ added 2987 on 02 May 2013
+ added 1433 on 13 May 2013
+ added 237 on 04 July 2013
+ added 347 on 13 December 2013
+ added 5151 on 10 January 2014
+ added 766667 on 23 January 2014
+ added 159 on 07 February 2014
+ added 3827 on 09 February 2014
+ added 279 on 15 March 2014
+ added 273 on 15 March 2014
+ added 8191 on 27 March 2014
+ added 2063 on 05 April 2014
+ added 1197 on 05 April 2014
+ added 3993 on 22 July 2014
+ added 3997 on 26 July 2014
+ added 3999 on 27 July 2014
+ added 3599 on 18 December 2014
+ added 4225 on 24 February 2015
+ added 6999 on 25 February 2015
+ added 2031 on 08 March 2015
+ added 9999 on 07 May 2015
+ added 227 on 10 May 2015
+ added 2027 on 13 September 2015
+ added 263 on 16 September 2015
+ added 239 on 16 September 2015
+ added 2033 on 28 September 2015
+ added 93039 on 18 November 2015
+ added 1597 on 23 November 2015
+ added 4799 on 06 January 2016
+ added 3983 on 06 January 2016
+ added 93839 on 19 January 2016
+ added 3033 on 20 January 2016
+ added 4837 on 24 January 2016
+ added 3023 on 27 January 2016
+ added 262 on 07 April 2016
+ added 265 on 07 April 2016
+ added 267 on 07 April 2016
+ added 271 on 12 April 2016
+ added 277 on 12 April 2016
+ added 95759 on 22 May 2016
+ added 342 on 09 July 2016
+ added 345 on 17 July 2016
+ added 99399 on 08 August 2016
+ added 99999 on 08 August 2016
+ added 32543 on 11 August 2016
+ added 4222 on 01 September 2016
+ added 351 on 08 September 2016
+ added 353 on 15 September 2016
+ added 357 on 30 October 2016
+ added 359 on 27 December 2016
+ added 382 on 02 January 2017
+ added 383 on 02 January 2017
+ added 385 on 03 January 2017
+ added 387 on 03 January 2017
+ added 72627 on 07 January 2017
+ added 391 on 26 January 2017
+ added 393 on 26 January 2017
+ added 397 on 01 February 2017
+ added 15151 on 16 May 2017
+ added 73837 on 05 June 2017
+ added 74547 on 06 June 2017
+ added 75357 on 08 June 2017
+ added 75957 on 09 June 2017
+ added 76067 on 10 June 2017
+ added 76467 on 10 June 2017
+ added 76667 on 10 June 2017
+ added 77077 on 11 June 2017
+ added 77277 on 11 June 2017
+ added 2551 on 18 July 2017
+ added 78387 on 09 August 2017
+ added 78587 on 10 August 2017
+ added 79797 on 10 August 2017
+ added 32142 on 05 September 2017
+ added 462 on 07 January 2018
+ added 463 on 08 January 2018
+ added 465 on 03 March 2018
+ added 467 on 03 March 2018
+ added 951 on 08 March 2018
+ added 471 on 17 May 2018
+ added 477 on 25 May 2018

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