Number of the day: 4903

Properties of the number 4903:

4903 is a cyclic number.
4903 is the 655^th prime.
4903 has 13 antidivisors and 4902 totatives.
4903 = 2452² - 2451² is the difference of 2 nonnegative squares in 1 way.
4903 is the difference of 2 positive pentagonal numbers in 1 way.
4903 is not the sum of 3 positive squares.
4903² is the sum of 3 positive squares.
4903 is a proper divisor of 373³⁸ - 1.
4903 is an emirp in (at least) the following bases: 2, 3, 4, 14, 15, 17, 21, 26, 29, 38, 41, 45, 50, 56, 59, 60, 61, 69, 71, 79, 80, 83, 85, 87, 91, 99, and 100.
4903 is palindromic in (at least) the following bases: 31, 57, -49, and -86.
4903 in base 17 = gg7 and consists of only the digits '7' and 'g'.
4903 in base 30 = 5dd and consists of only the digits '5' and 'd'.
4903 in base 31 = 535 and consists of only the digits '3' and '5'.
4903 in base 49 = 223 and consists of only the digits '2' and '3'.
4903 in base 56 = 1VV and consists of only the digits '1' and 'V'.
4903 in base 57 = 1T1 and consists of only the digits '1' and 'T'.

The number 4903 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005347: First differences of A005579.
A033548: Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.
A049423: Primes of the form k^2 + 3.
A074339: a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A112847: Primes such that the sum of the predecessor and successor primes is divisible by 23.
A139253: Toothpick primes: primes in the toothpick sequence A139250.
A141978: Primes congruent to 2 mod 29.
A153213: Primes p such that both p-2 and p+2 are not squarefree.
A154834: Primes p such that p^5-2 is also prime.
A183517: T(n,k)=Number of nXk binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors