A065378 Primes p such that p^2 is a palindromic square.

2, 3, 11, 101, 307, 30001253, 100111001, 110111011, 111010111, 111091111, 1011099011101, 1100011100011, 1100101010011, 1101010101011, 100110101011001, 100110990111001, 101000010000101, 101011000110101, 101110000011101

Offset: 1

Author

Patrick De Geest, Nov 03 2001

Keywords

• nonn
• base

Comments

Record prime base number of a sporadic palindromic square is 13661181333262459.

Examples

			E.g. a(6) = 900075181570009 = p^2 with p = 30001253 and prime.
		

Links

• Hans Havermann (via Feng Yuan), Table of n, a(n) for n = 1..61
• Patrick De Geest, Palindromic Squares in bases 2 to 17
• G. L. Honaker, Jr. and C. Caldwell, Prime Curios!
• W. R. Marshall, Palindromic Squares
• F. Yuan, Palindromic Square Numbers

Crossrefs

Cf. A065379, A002778, A002779, A034822, A028816, A016106, A059744, A016113, A007573.

Programs

Mathematica

t={}; Do[p=Prime[n]; If[FromDigits[Reverse[IntegerDigits[p^2]]]==p^2,AppendTo[t,p]],{n,10^7}]; t (* Jayanta Basu, May 11 2013 *)

Extensions

Corrected by Jayanta Basu, May 11 2013