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 A207825 #18 Nov 16 2024 17:36:37
%S A207825 5516281,18164161,51755761,175472641,322030801,668745001,859992841,
%T A207825 1163859481,1566071641,3662011081,4285181881,4609064881,4630772161,
%U A207825 5329427041,5601138481,5934191761,7123263841,7321991041,7391371681,7969001041,8735990761
%N A207825 Primes p such that (p+k)/(k+1) is a prime number for k = 1,...,6.
%C A207825 The subsequence of p in A208455 such that (p+6)/7 is a prime.
%C A207825 Also, the subsequence of terms of A071369 which end in the digit "1".
%C A207825 All terms are of the form 2520m+1. The m-values are listed in A208549.
%F A207825 a(n) = A208549(n)*2520 + 1.
%o A207825 (PARI) {my(p=1); until(, isprime(p+=2520) || next; for(j=2, 7, isprime(p\j+1)||next(2)); print1(p", "))}
%K A207825 nonn
%O A207825 1,1
%A A207825 _M. F. Hasler_, Feb 28 2012
%E A207825 a(20) and a(21) added by _Robert C. Lyons_, Nov 16 2024.