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.

A109679 Smallest even number which is the unordered sum of two primes in more ways than any previous even number.

This page as a plain text file.
%I A109679 #12 Feb 16 2025 08:32:58
%S A109679 2,4,10,22,34,48,60,78,84,90,114,120,168,180,210,300,330,390,420,510,
%T A109679 630,780,840,990,1050,1140,1260,1470,1650,1680,1890,2100,2310,2730,
%U A109679 3150,3570,3990,4200,4410,4620,5250,5460,6090,6510,6930,7980,8190,9030,9240
%N A109679 Smallest even number which is the unordered sum of two primes in more ways than any previous even number.
%C A109679 Record value of A023036 or A045917.
%C A109679 a(n)== 0 (mod 30) for n > 13.
%H A109679 Vincenzo Librandi, <a href="/A109679/b109679.txt">Table of n, a(n) for n = 1..150</a>
%H A109679 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldbachPartition.html">Goldbach Partition</a>
%H A109679 <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%t A109679 f[n_] := Length[ Select[n - Prime@ Range@ PrimePi[n/2], PrimeQ]]; t = {}; mxm = -1; Do[ If[ f[n] > mxm, AppendTo[t, n]; mxm = f[n]], {n, 2, 9000, 2}]; t
%Y A109679 Essentially the same as A082917. Cf. A082918, A002375, A023036, A045917, A000954.
%K A109679 nonn
%O A109679 1,1
%A A109679 Gilmar Rodriguez Pierluissi (gilmarlily(AT)yahoo.com), Aug 30 2005
%E A109679 Edited and extended by _Robert G. Wilson v_, Sep 08 2005
%E A109679 Changed offset from 0 to 1 by _Vincenzo Librandi_, Apr 18 2013