# 139

This number is a prime.

139 and 149 are the first consecutive primes differing by 10. [Wells]

Stirling's formula in terms of the gamma function contains the prime number 139.

139 divides the sum of the first 139 composite numbers. [Honaker]

The largest prime factor among the smallest pair of odd amicable numbers.

The smallest prime that contains one prime digit, one composite digit, and one digit that is neither prime nor composite. [Brown]

The smallest prime factor of the smallest multidigit composite Lucas number with a prime index.

The number of chromatically unique simple graphs on seven nodes. [Post]

STB 139 is the cryptic name for a nightspot located in the Rippongi district of Tokyo, Japan.

Pomerance showed that the second largest prime factor of an odd perfect number should be at least 139.

139 = 9*8+7*6+5*4+3*2-1. [Silva]

The smallest prime formed by concatenating all divisors of a composite number. [Silva]

The binary expansion 10001011 of 139 is a de Bruijn sequence of order 3 on 2 digits. [Poo Sung]

The largest prime, less than a googol, formed by concatenating in ascending order the first n powers of 3 (n=3). Note that for n=2 we take the smallest such prime (emirp). [Loungrides]

The largest number of states that a six-piece Burr Puzzle could have without coming apart. [Cutler]

*Amazon*™ unveiled (in late July 2010) a version of its Kindle
electronic reader that sells for 139 dollars, its lowest price yet.

The smallest prime number whose product of digits is a prime cube. [Gudipati]

"The children of the porters: the children of Shallum, the
children of Ater, the children of Talmon, the children of
Akkub, the children of Hatita, the children of Shobai, in
all an **hundred thirty and nine**." (*Ezra* 2:42, KJV) [Repasi]

The word 'begat' is found in 139 verses of the KJV Bible. James Ussher, Archbishop of Armagh, Primate of All Ireland, utilized them in his chronology of the world.

The magic constant in a special magic square composed by the Indian prodigy Ramanujan, whose birth date appears in the first row. [Beedassy]

The only known Euler irregular prime p with Euler irregular pair (p,p-11).

You cannot build an almost (i.e., without the top ball) square pyramidal stack of cannonballs with a prime number of cannonballs greater than 139. [Honaker]

The smallest prime that is the sum of a perfect number of squares.

2^1 + 2^3 + 2^9 +/- 1 and 2^1 + 2^3 + 2^9 + 139^2 are all prime. [Homewood]

(1+3+9)^(1+3+9) + sigma(139)^sigma(139) is prime and the largest known of this form. [Sariyar]