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

%I #8 Jul 10 2011 18:42:41

%S 4,6,10,14,15,21,22,26,33,34,38,39,46,55,58,62,69,74,82,85,86,91,94,

%T 106,111,115,118,122,129,133,134,141,142,146,158,159,166,178,183,194,

%U 201,202,206,213,214,218,226,235,253,254,259,262,265,274,278

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

%C Intersection of A014091 and A001358; A100484 is a subsequence.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GoldbachConjecture.html">Goldbach Conjecture</a>

%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>

%e n=14: 11 + 3 = 14 and 2 * 7 = 14, therefore 14 is a term;

%e n=15: 13 + 2 = 15 and 3 * 5 = 15, therefore 15 is a term.

%e E.g. 21 = 19 + 2, 19 and 2 are prime and 21 = 7 * 3, 7 and 3 are primes.

%e Example: 9 = 3*3 and 2+7

%Y Cf. A014091, A100962.

%K nonn,easy

%O 1,1

%A Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 30 2003

%E Corrected and extended by Michael Lahm (mpl148(AT)psu.edu), Apr 24 2006

%E More terms from Joseph A. Agnew (jaa249(AT)psu.edu), Apr 30 2006

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Last modified April 26 17:59 EDT 2024. Contains 372003 sequences. (Running on oeis4.)