Number of the day: 5023

August Ferdinand Möbius was born on this day 228 years ago.

Properties of the number 5023:

5023 is a cyclic number.
5021 and 5023 form a twin prime pair.
5023 has 17 antidivisors and 5022 totatives.
5023 has a semiprime digit sum 10 in base 10.
5023 has a triangular digit sum 10 in base 10.
Reversing the decimal digits of 5023 results in a semiprime.
5023 = 2512² - 2511² is the difference of 2 nonnegative squares in 1 way.
5023 is the difference of 2 positive pentagonal numbers in 1 way.
5023 is not the sum of 3 positive squares.
5023² is the sum of 3 positive squares.
5023 is a proper divisor of 953³ - 1.
5023 is an emirp in (at least) the following bases: 2, 7, 13, 14, 16, 17, 26, 33, 35, 40, 41, 49, 52, 55, 56, 59, 61, 64, 65, 66, 68, 70, 71, 74, 77, 79, 82, 85, 88, 89, 91, 94, and 95.
5023 is palindromic in (at least) the following bases: 23, 54, 62, -29, -81, and -93.
5023 in base 23 = 9b9 and consists of only the digits '9' and 'b'.
5023 in base 28 = 6bb and consists of only the digits '6' and 'b'.
5023 in base 53 = 1ff and consists of only the digits '1' and 'f'.
5023 in base 54 = 1d1 and consists of only the digits '1' and 'd'.
5023 in base 61 = 1LL and consists of only the digits '1' and 'L'.
5023 in base 62 = 1J1 and consists of only the digits '1' and 'J'.

The number 5023 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A031934: Lower prime of a pair of consecutive primes having a difference of 16.
A045711: Primes with first digit 5.
A046257: a(1) = 7; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A074982: Primes for which the three closest primes are smaller.
A119617: Integers of the form c(n)/b(n) where c(n+1)=c(n)+(n+1)^4 with c(0)=1 and b(n+1)=b(n)+(n+1)^2 with b(0)=1.
A127578: Primes congruent to 31 mod 32.
A134153: a(n) = 15n^2 + 9n + 1.
A142005: Primes congruent to 1 mod 31.
A153377: Larger of two consecutive prime numbers such that p1*p2*d+d=average of twin prime pairs, d (delta)=p2-p1.
A297410: Where prime race among 11n+1, ..., 11n+10 changes leader.