cp's OEIS Frontend

A084997 Numbers which can be written as the sum as well as the product of 2 primes, not necessarily the same.

%I A084997 #9 Feb 16 2025 08:32:50
%S A084997 4,6,10,14,15,21,22,26,33,34,38,39,46,55,58,62,69,74,82,85,86,91,94,
%T A084997 106,111,115,118,122,129,133,134,141,142,146,158,159,166,178,183,194,
%U A084997 201,202,206,213,214,218,226,235,253,254,259,262,265,274,278
%N A084997 Numbers which can be written as the sum as well as the product of 2 primes, not necessarily the same.
%C A084997 Intersection of A014091 and A001358; A100484 is a subsequence.
%H A084997 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldbachConjecture.html">Goldbach Conjecture</a>
%H A084997 <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%e A084997 n=14: 11 + 3 = 14 and 2 * 7 = 14, therefore 14 is a term;
%e A084997 n=15: 13 + 2 = 15 and 3 * 5 = 15, therefore 15 is a term.
%e A084997 E.g. 21 = 19 + 2, 19 and 2 are prime and 21 = 7 * 3, 7 and 3 are primes.
%e A084997 Example: 9 = 3*3 and 2+7
%Y A084997 Cf. A014091, A100962.
%K A084997 nonn,easy
%O A084997 1,1
%A A084997 Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 30 2003
%E A084997 Corrected and extended by Michael Lahm (mpl148(AT)psu.edu), Apr 24 2006
%E A084997 More terms from Joseph A. Agnew (jaa249(AT)psu.edu), Apr 30 2006