MathBabbler created his own "type" of number and he called it a ThurmNumber. By definition, a ThurmNumber is a number that when split into score plus number format, the score and the plus number are both prime numbers. The smallest ThurmNumber is 42 (2 score 2).

On 19 July 2009, there were nBABs for all of the numbers between 0 and 100 except for 38, 39, 46 48,

`, and 58. Given 42 is the smallest ThurmNumber, 38 and 39 could not be ThurmNumbers. 46 is 2 score 6 and 6 is not prime. 48 is 2 score 8 and 8 is not prime. 58 is 2 score 18 and 18 is not prime.`

57`is 2 score 17 and both 2 and 17 are prime; therefore,`

57`is a ThurmNumber.`

57MathBabbler Number Analyst (MBNA) output: ========================================= 57 is a natural, whole, integer 57 is odd 57 proper divisors are: 1,3,19, 57 is deficient (sum of divisors is 23) 57 is unhappy 57 is not a Harshad number 57 is not prime 57 has the prime factors: 3*19 (sum=22) 57 is semiprime (biprime or 2-almost prime) 57 sum of prime factors is: 22 57 is undulating 57 is ThurmNumber 57 in octal is 071 57 in hexadecimal is 0x39 57 in binary is 111001 (is evil) 57 nearest square numbers: -8...7 (49...64 [8]) sqrt(57) = 7.54983 ln(57) = 4.04305 log(57) = 1.75587 57 reciprocal is .01754385964912280701754385964912 57! is 4.05269e+76 57 is 18.1437 Pi years 57 is 2 score and 17 years 57 written as a Roman numeral is LVII

`in base-14 in repdigit number 77.`

57

`plus 1900 is the year MathBabbler was born.`

57

`plus 2000 is the year MathBabbler will be a century in age.`

57

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 19 July 2009

This work is licensed under a Creative Commons Attribution 3.0 United States License.