A056130 Palindromic primes in bases 2 and 4.

3, 5, 17, 257, 5189, 65537, 83269, 86293, 1053953, 1066049, 1134929, 1311749, 1380629, 16864513, 17060929, 17909009, 18153809, 18171217, 21251141, 22103317, 289423441, 290455889, 290735441, 336662789, 336925957, 340873541

Offset: 1

Author

Robert G. Wilson v, Jul 29 2000

Keywords

• nonn
• base

Comments

Intersection of A016041 and A029972.

Subsequence of primes of A097856. - Michel Marcus, Nov 07 2015

Examples

			5 is 101 (base 2) and 11 (base 4), that are both palindromic.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A016041 and A029972.

Programs

Mathematica

Do[If[PrimeQ[n], t = RealDigits[n, 4][[1]]; If[FromDigits[t] == FromDigits[Reverse[t]], s = RealDigits[n, 2][[1]]; If[FromDigits[s] == FromDigits[Reverse[s]], Print[n]]]], {n, 1, 10^8, 2}]