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.

A134650 Numbers that are the sum of two consecutive primes (i.e., in A001043) but are not the sum of two sums of two consecutive primes.

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%I A134650 #18 Jul 17 2025 12:32:19
%S A134650 5,8,12,18,52,100,946
%N A134650 Numbers that are the sum of two consecutive primes (i.e., in A001043) but are not the sum of two sums of two consecutive primes.
%C A134650 Numbers in A001043 but not in A134651.
%C A134650 Conjectured to be finite, may be complete.
%C A134650 a(8), if it exists, is greater than 20100000. - _R. J. Mathar_, Jan 26 2008
%D A134650 R. K. Guy, ed., Unsolved Problems, Western Number Theory Meeting, Las Vegas, 1988.
%p A134650 with(numtheory): Sset := {}: for i to 15000 do Sset := `union`(Sset, {ithprime(i) + ithprime(i + 1)}) od: Sset := convert(Sset, list): for n from 1 to nops(Sset) do count := 0: s := Sset[n]: for i from 1 to n do if member(s - Sset[i], Sset) and s-Sset[i] >= s/2 then count := count + 1 fi; od: if count = 0 then printf(`%d,`, Sset[n]) fi; od: # _James Sellers_, Jan 28 2008
%Y A134650 Cf. A001043, A134651, A135045.
%K A134650 nonn,more
%O A134650 1,1
%A A134650 _N. J. A. Sloane_, Jan 25 2008
%E A134650 946 found by _James Sellers_, Jan 25 2008