A050239 - OEIS

%I #21 Aug 19 2022 16:05:45

%S 5,181,313,3187813

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

%C No other terms < 10^20. - _Patrick De Geest_, Aug 15 99

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/sumsquare.htm">Palindromic Sums of Squares of Consecutive Integers</a>

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_014.htm">Puzzle 14. Pal-Primes and sum of powers</a>, The Prime Puzzles & Problems Connection.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PalindromicPrime.html">Palindromic Prime</a>

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

%Y Cf. A050236.

%Y Subsequence of A002385.

%K nonn,nice,hard,base

%O 1,1

%A _Eric W. Weisstein_