MathBabbler was mathematizing the song "Mama Said" by the Shirelles (circa 1961) when he discovered that the Shirelles also did a song titled "

`Flavors" (circa 1963). He was working on "Obama Said" after having just completed a BAB titled "`

31`% and 105% are Popular Percentages These Days."`

31MathBabbler Number Analyst (MBNA) output: ========================================= 31 is a natural, whole, integer 31 is odd 31 proper divisors are: 1, 31 is deficient (sum of divisors is 1) 31 is happy 31 is not a Harshad number 31 is prime ...Sexy prime with 37 ...Twin prime with 29 ...OEIS:002145 (4n+3; n=7) ...Super ...Right-truncatable 31 is undulating 31 is prime 31 in octal is 037 31 in hexadecimal is 0x1f 31 in binary is 11111 (is odious) 31 nearest square numbers: -6...5 (25...36 [6]) sqrt(31) = 5.56776 ln(31) = 3.43399 log(31) = 1.49136 31 reciprocal is .03225806451612903225806451612903 31! is 8.22284e+33 31 is 9.86761 Pi years 31 is 1 score and 11 years 31 written as a Roman numeral is XXXI

`which is the Golden Ratio (`

sqrt(31) ÷ ln(31) = 1.62137`) rounded the nearest hundredth.`

1.61803399

`[Wikipedia]`

"`are all prime. For a time it was thought that every number of the form 3`

31, 331, 3331, 33331, 333331, 3333331, 33333331_{w}1 would be prime. However, the next nine numbers of the sequence are composite."

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

**Created:** 25 February 2009

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