# 359

This number is a prime.

*The Moscow Puzzles: 359 Mathematical Recreations* was authored by a Russian high school teacher named Boris A. Kordemsky and edited by Martin Gardner.

In the *Star Trek* fictional universe, the Battle of
Wolf 359 was the Federation's first major battle against a
group of cyborgs.

359 = -1 + 2^{3} * 45. [Kulsha]

The 359th, 360th and 361st digits of π are 360. [Croll]

2#*3#*5# - 1 is an emirp. [Patterson]

The first prime (emirp) p of the type p=q*R(q)-(q+R(q)) where R(q) is the reversal of q. (Case q=13). [Loungrides]

Day 359 of the non-leap year is not "naughty," but nice. Not only is it the largest prime ordinal day of the year, it's also Christmas Day. [Kringle]

Galileo was pardoned 359 years after his imprisonment for heresy by Pope John Paul II.

The smallest emirp that gives other emirps when sandwiched between two n's in two ways (13591, 73597). [Loungrides]

Largest known prime partial sum of number of connected planar graphs with n edges: 1 + 1 + 1 + 3 + 5 + 12 + 30 + 79 + 227 = 359 is prime. [Post]

The smallest Sophie Germain prime (emirp) whose reversal is another (953*2+1 is prime). [Silva]

359 = prime(phi(3*5*9)) = prime(phi(3*5*9 + 3+5+9)). It is the only known multidigit number with this property. [Firoozbakht]

Sum of the digits of 359 equals the sum of the powered prime factors of its prime index. [Streeton]

This emirp can be represented as the product of the positive even digits minus the sum of the odd digit, i.e., 2*4*6*8-(1+3+5+7+9). [Loungrides]

The largest emirp that consists of odd digits concatenated in ascending order. [Loungrides]

Cosmos 359 was a failed Venus lander attempt by the USSR (August 22, 1970).

Three of the six permutations of the digits of 359 are prime numbers and all three are Sophie Germain primes (359, 593, and 953). [Gaydos]

The only odd-digit emirp that can be represented as product of a double-digit even number and its reversal minus 1, i.e, 60*06-1=359. [Loungrides]

The first 359 composite numbers total exactly a thousand digits. [Gaydos]

For 359 we have: 2*3 + 5*7 + ... + 353*359 = 1352881 and 2*3*5*7 + 11*13*17*19 + ... + 347*349*353*359 = 51573902249, which are both primes. Can you find the next number with such property? [Petrov]