A377564 Primes that contain at least two different even digits and at least two different odd digits such that any permutation of the odd digits and any permutation of the even digits produces a prime. Permutations with leading 0s are disregarded; ie. if permutations of even digits in a prime p produce a number with a leading 0 that is not prime, p is still in the sequence.

1249, 1429, 1487, 1847, 2309, 2617, 2671, 2903, 4019, 4091, 6037, 6073, 6217, 6271, 6389, 6709, 6907, 6983, 7481, 7841, 8039, 8093, 8369, 8963, 9241, 9421, 20129, 20177, 20389, 20717, 20771, 20921, 20983, 21013, 21031, 22109, 22901, 23011

Offset: 1

Author

Enrique Navarrete, Nov 01 2024

Keywords

• nonn
• base

Comments

Relaxed version of A376502. For example, 2309 is not in A376502 since 329 is not prime; however, 2309 is in this sequence since nonprimes with leading 0s such as 329 that result from permutations of even digits are disregarded.

The primes in the sequence cannot contain 5.

Examples

			The primes 80107 and 80701 are in the sequence even if permutations of even digits produce 187, 781, 8107, 8701 which are numbers with leading 0s that are not prime.
		

Crossrefs

Cf. A000040, A003459, A376500, A376501, A376502.