This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A359414 #11 Jan 01 2023 02:58:55 %S A359414 7,11,23,109,211,1021,42967,297779,125211211,11673806759 %N A359414 Primes prime(k) such that prime(k)^2 + prime(k+1)^2 - 1 is the square of a prime. %C A359414 Suggested in an email from _J. M. Bergot_. %C A359414 There are no more terms < 10^100 unless the prime gap g = prime(k+1) - prime(k) exceeds 10000. For all known terms, g <= 14. There are no more terms < 10^1000 with g <= 14. - _Jon E. Schoenfield_, Dec 31 2022 %e A359414 a(3) = 23 is a term because 23 is prime, the next prime is 29, and 23^2 + 29^2 - 1 = 37^2 where 37 is prime. %p A359414 R:= NULL: q:= 2: %p A359414 while q < 2*10^8 do %p A359414 p:= q; q:= nextprime(q); %p A359414 r:= p^2 + q^2 - 1; %p A359414 if issqr(r) and isprime(sqrt(r)) then R:= R, p fi %p A359414 od: %p A359414 R; %Y A359414 Subset of A160054. %K A359414 nonn,more,less %O A359414 1,1 %A A359414 _Robert Israel_, Dec 30 2022