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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.

A339974 Odd primes that do not occur as the greatest prime divisor of any such odd composite k for which the odd part of phi(k) divides k-1.

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%I A339974 #28 Dec 27 2020 19:32:13
%S A339974 3,7,11,19,31,37,59,61,83,103,107,131
%N A339974 Odd primes that do not occur as the greatest prime divisor of any such odd composite k for which the odd part of phi(k) divides k-1.
%C A339974 Odd primes that do not occur as the greatest prime divisor (A006530) of any of the terms of A339880.
%C A339974 Naive way of computing (essentially an exhaustive search): apply A000523 to the terms of A339973, select unique values, add +2, and take the corresponding prime.
%C A339974 Questions: Is this sequence finite? If infinite, are there still only a finite number of 4k+1 primes (A002144) like 37 and 61?
%C A339974 a(13) >= 149, if it exists.
%e A339974 Prime 127 is NOT a member, because there exists a squarefree composite number 10697881195 = 5*29*53*97*113*127, for which A053575(10697881195) = A336466(10697881195) = 120393, which is a divisor of 10697881195-1. Note that 10697881195 is a term of A339880, but not that of A339870.
%Y A339974 Cf. A000523, A002144, A006530, A053575, A336466, A339870, A339880, A339973.
%Y A339974 Cf. also A339869.
%K A339974 nonn,more,hard
%O A339974 1,1
%A A339974 _Antti Karttunen_, Dec 27 2020