A333424 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..300

Wikipedia, Primorial number system.

Index entries for sequences related to primorial base.

EXAMPLE

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.

MATHEMATICA

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

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.

Sequence in context: A131588 A361680 A091938 * A186893 A051919 A119175

Adjacent sequences: A333421 A333422 A333423 * A333425 A333426 A333427

KEYWORD

nonn

AUTHOR

Amiram Eldar, Mar 20 2020

STATUS

approved