A333421 Primes that are palindromic in factorial base.

3, 7, 11, 41, 127, 139, 173, 179, 191, 751, 811, 5113, 5167, 5419, 5443, 6581, 6659, 6737, 6761, 6833, 6863, 6911, 6959, 40609, 40897, 41047, 41479, 42061, 42349, 42499, 42643, 42787, 50549, 51131, 51419, 51563, 52289, 52433, 52583, 52727, 363361, 363481, 365473

Offset: 1

Author

Amiram Eldar, Mar 20 2020

Keywords

• nonn

Examples

			3 is a term since it is a prime number and its factorial base representation is 11 which is a palindrome.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Wikipedia, Factorial number system.
• Index entries for sequences related to factorial base representation.

Crossrefs

Intersection of A000040 and A046807.

Cf. A007623, A108731.

Cf. A002385, A016041, A029971, A029972, A029973, A029974, A029975, A029976, A029977, A029978, A029979, A029980, A029981, A029982.

Programs

Mathematica

max = 9; Select[Range[0, max! - 1], PrimeQ[#] && PalindromeQ @ IntegerDigits[#, MixedRadix[Range[max, 2, -1]]] &]