About the Number 57 (fifty-seven)

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, 57, 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.

	MathBabbler 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

57 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.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 19 July 2009

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