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.

A352283 Smallest nonnegative even integer with exactly n pairs of Goldbach partitions, (p,q) and (r,s) with p,q,r,s prime and p < r <= s < q, such that all integers in the open intervals (p,r) and (s,q) are composite.

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%I A352283 #13 Feb 16 2025 08:34:03
%S A352283 0,10,24,48,60,126,90,114,120,594,240,462,300,390,210,330,510
%N A352283 Smallest nonnegative even integer with exactly n pairs of Goldbach partitions, (p,q) and (r,s) with p,q,r,s prime and p < r <= s < q, such that all integers in the open intervals (p,r) and (s,q) are composite.
%H A352283 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldbachPartition.html">Goldbach Partition</a>
%H A352283 Wikipedia, <a href="http://en.wikipedia.org/wiki/Goldbach%27s_conjecture">Goldbach's conjecture</a>
%H A352283 <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%H A352283 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%e A352283 a(4) = 60 is the smallest nonnegative even integer with exactly 4 pairs of Goldbach partitions (13,47),(17,43); (17,43),(19,41); (19,41),(23,37); and (23,37),(29,31) with all integers composite in the open intervals: (13,17) and (43,47), (17,19) and (41,43), (19,23) and (37,41), (23,29) and (31,37) respectively.
%Y A352283 Cf. A187797, A278700, A352240, A352248.
%K A352283 nonn,more
%O A352283 0,2
%A A352283 _Wesley Ivan Hurt_, Mar 10 2022