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

1,1

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.

Example

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

Mathematica

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

Crossrefs

Intersection of A000040 and A046807.

Cf. A007623, A108731.

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

Sequence in context: A191027 A139599 A141161 * A358311 A217383 A005372

Adjacent sequences: A333418 A333419 A333420 * A333422 A333423 A333424

Keyword

nonn

Author

Amiram Eldar, Mar 20 2020

Status

approved