login
Primes which are the concatenation of four consecutive square numbers.
0

%I #4 Apr 06 2023 13:36:41

%S 14400146411488415129,39204396014000040401,44100445214494445369,

%T 54756552255569656169,90000906019120491809,381924383161384400385641,

%U 501264502681504100505521,518400519841521284522729

%N Primes which are the concatenation of four consecutive square numbers.

%e The first term is 14400146411488415129 which is a prime and is the concatenation of 14400,14641,14884 and 15129 which are four consecutive square numbers.

%t Select[FromDigits[Flatten[IntegerDigits/@#]]&/@Partition[Range[1000]^2,4,1],PrimeQ] (* _Harvey P. Dale_, Apr 06 2023 *)

%K base,nonn

%O 1,1

%A _Shyam Sunder Gupta_, Apr 17 2005