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.

A088709 Numbers m that are a product of two primes j and k such that m+j+k is prime.

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%I A088709 #20 Jun 08 2025 16:15:42
%S A088709 6,10,14,15,21,26,33,34,35,38,46,51,55,57,58,65,74,85,86,93,111,118,
%T A088709 123,141,143,145,155,158,161,166,177,178,185,194,201,203,205,206,209,
%U A088709 215,221,254,267,278,295,298,319,321,323,326,327,329,334,341,346,355,365
%N A088709 Numbers m that are a product of two primes j and k such that m+j+k is prime.
%H A088709 Harvey P. Dale, <a href="/A088709/b088709.txt">Table of n, a(n) for n = 1..1000</a>
%e A088709 a(2)=10 because 10 has only one pair of prime factors (2 and 5) and 10 + 2 + 5 = 17, which is prime.
%t A088709 ptpQ[n_]:=Module[{fi=FactorInteger[n]},Length[fi]==2&&Union[ fi[[All,2]]] == {1}&&PrimeQ[n+Total[fi[[All,1]]]]]; Select[Range[400],ptpQ] (* _Harvey P. Dale_, Nov 06 2020 *)
%Y A088709 Cf. A001358.
%K A088709 nonn
%O A088709 1,1
%A A088709 _Chuck Seggelin_, Oct 11 2003