Saturday, March 26, 2016

Number of the day: 116359

Properties of the number 116359:

116359 is the 10992th prime.
116359 has 5 antidivisors and 116358 totatives.
116359 has a semiprime digit sum 25 in base 10.
116359 = 581802 - 581792 is the difference of 2 nonnegative squares in 1 way.
116359 is the difference of 2 positive pentagonal numbers in 1 way.
116359 is not the sum of 3 positive squares.
116359 is a divisor of 347246 - 1.
116359 = '11' + '6359' is the concatenation of 2 prime numbers.
116359 is an emirp in (at least) the following bases: 2, 3, 5, 9, 13, 16, 17, 18, 29, 32, 37, 39, 41, 45, 46, 48, 51, 56, 59, 61, 68, 70, 79, 85, 86, 92, and 94.
116359 in base 58 = YYB and consists of only the digits 'B' and 'Y'.
116359 in base 60 = WJJ and consists of only the digits 'J' and 'W'.

The number 116359 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A190758: Primes p such that x^41 = 2 has a solution mod p, and p is congruent to 1 mod 41.

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