A050239 Consecutive square palindromic primes; palindromic primes of the form x^2 + (x+1)^2, where x values are given by A050236.

5, 181, 313, 3187813

Offset

1,1

Comments

No other terms < 10^20. - Patrick De Geest, Aug 15 1999

There are 2 known emirps of the form x^2 + (x+1)^2: 12641, 14621. - Michel Marcus, Nov 30 2025

No other terms < 10^47. - Max Alekseyev, Jun 01 2026

Links

Table of n, a(n) for n=1..4.

Patrick De Geest, Palindromic Sums of Squares of Consecutive Integers

Carlos Rivera, Puzzle 14. Pal-Primes and sum of powers, The Prime Puzzles & Problems Connection.

Eric Weisstein's World of Mathematics, Palindromic Prime

Mathematica

Select[Total/@Partition[Range[1300]^2, 2, 1], PalindromeQ[#]&&PrimeQ[#]&] (* Harvey P. Dale, Aug 19 2022 *)

Crossrefs

Subsequence of A002385.

Cf. A050236, A098826, A134462, A155924.

Sequence in context: A162136 A053363 A027572 * A218690 A345338 A256286

Adjacent sequences: A050236 A050237 A050238 * A050240 A050241 A050242

Keyword

nonn,nice,hard,base,more

Author

Eric W. Weisstein

Status

approved