A333424 Primes that are palindromes in primorial base.

3, 7, 11, 31, 47, 211, 223, 229, 281, 293, 2311, 2347, 2383, 2843, 2879, 30091, 30181, 30211, 30307, 30367, 30427, 30493, 30553, 30643, 30829, 30859, 34871, 34961, 35051, 35117, 35267, 35363, 35393, 35423, 510751, 511711, 513067, 513307, 515143, 517459, 518179

Offset: 1

Author

Amiram Eldar, Mar 20 2020

Keywords

• nonn

Examples

			3 is a term since it is a prime number and its representation in primorial base is 11 (1 * 2# + 1) which is a palindrome.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..300
• Wikipedia, Primorial number system.
• Index entries for sequences related to primorial base.

Crossrefs

Intersection of A000040 and A333423.

Cf. A049345, A235168.

Cf. A002385, A016041, A029971, A029972, A029973, A029974, A029975, A029976, A029977, A029978, A029979, A029980, A029981, A029982, A333421.

Programs

Mathematica

max = 8; bases = Prime @ Range[max, 1, -1]; nmax = Times @@ bases - 1; Select[Range[nmax], PrimeQ[#] && PalindromeQ @ IntegerDigits[#, MixedRadix[bases]] &]