cp's OEIS Frontend

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.

A295124 a(n) = smallest number k with n prime factors such that 2d + k/d is prime for every d | k.

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%I A295124 #23 Nov 16 2017 02:40:53
%S A295124 1,3,15,105,93081
%N A295124 a(n) = smallest number k with n prime factors such that 2d + k/d is prime for every d | k.
%C A295124 Such k must be an odd squarefree number.
%C A295124 a(n) has 2^n divisors and each gives another prime.
%C A295124 Conjecture: the sequence is infinite. It is hard to believe!
%C A295124 a(n) is the smallest k such that A088627(k) = A000005(k) = 2^n.
%F A295124 a(n) = A293756(n+1)/2.
%Y A295124 Cf. A088627, A293756.
%Y A295124 Subsequence of A244520 (2d + k/d is prime for every d|k).
%K A295124 nonn,more
%O A295124 0,2
%A A295124 _Thomas Ordowski_, Nov 15 2017
%E A295124 a(4) from _Michel Marcus_, Nov 15 2017