While creating a nBAB for the number 233, MathBabbler learned that 233 was an Eisenstein prime. During his CSC100 class on 7 April 2009, he modified the MBNA to check if a prime number is an Eisenstein prime. He noticed that he had nBABs for all Eisenstein primes less than 100 except for the prime number

`.`

59MathBabbler Number Analyst (MBNA) output: ========================================= 59 is a natural, whole, integer 59 is odd 59 proper divisors are: 1, 59 is deficient (sum of divisors is 1) 59 is unhappy 59 is not a Harshad number 59 is prime ...Safe prime with 29 ...Sexy prime with 53 ...Twin prime with 61 ...OEIS:002145 (4n+3; n=14) ...Super ...Right-truncatable ...Eisenstein 59 is undulating 59 in octal is 073 59 in hexadecimal is 0x3b 59 in binary is 111011 (is odious) 59 nearest square numbers: -10...5 (49...64 [8]) sqrt(59) = 7.68115 ln(59) = 4.07754 log(59) = 1.77085 59 reciprocal is .01694915254237288135593220338983 59! is 1.38683e+80 59 is 18.7803 Pi years 59 is 2 score and 19 years 59 written as a Roman numeral is LIXThe nBAB for number

`was the first nBAB created using a MBNA that checked for Eisenstein primes.`

59

`[Wikipedia]`

`is a Pillai prime. A`

59Pillai primeis a "prime number p for which there is an integer n > 0 such that the factorial of n is one less than a multiple of the prime, but the prime is not one more than a multiple of n." {OEIS.org::id:A063980}## Update::2009.08.11

John Hughes died at the age of

`on 6 August 2009. MathBabbler's favorite Hughes movie was`

59Planes, Trains and Automobiles(especially the beginning), withNational Lampoon's Vacationa close second.Note: Since the last time this nBAB was updated, the MBNA (MathBabbler Number Analyst) was modified to check for

ThurmNumbers. AThurmNumberis a number that when written in score plus number form results in a prime numbered score plus a prime number.`is a ThurmNumber because it is 2 score 19 and both 2 and 19 are prime numbers.`

59

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

**Created:** 08 April 2009

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