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a(n) is the n-th smallest product of 5 odd primes m = p1*p2*p3*p4*p5 such that (d+m/d)/2 are all primes for each d dividing m.
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%I #9 Dec 12 2021 22:57:34

%S 884037,1137565,2398377,123156993,681714273,2347722213,7283144845,

%T 7794246057,8953447917,10287992785,13749228493,38108016453,

%U 38901676405,70918253385,71809744693,120418624965,148282565865,150721729873

%N a(n) is the n-th smallest product of 5 odd primes m = p1*p2*p3*p4*p5 such that (d+m/d)/2 are all primes for each d dividing m.

%C a(6) > 10^9.

%e 884037 = 3*7*11*43*89 and (1 + 884037)/2, (3 + 7*11*43*89)/2,

%e (7 + 3*11*43*89)/2, (11 + 3*7*43*89)/2, (43 + 3*7*11*89)/2, (89 + 3*7*11*43)/2,

%e (3*7 + 11*43*89)/2, (3*11 + 7*43*89)/2, (3*43 + 7*11*89)/2,(3*89 + 7*11*43)/2,

%e (7*11 + 3*43*89)/2, (7*43 + 3*7*89)/2, (7*89 + 3*7*43)/2, (11*43 + 3*7*89)/2,

%e (11*89 + 3*7*43)/2, (43*89 + 3*7*11)/2 are all primes and 884037 is the smallest such integer, so a(1) = 884037.

%Y Cf. A128281, A005383, A128283, A128284, A128285.

%K hard,nonn

%O 1,1

%A Kok Seng Chua (chuakokseng(AT)hotmail.com), Mar 05 2007

%E a(6)-a(18) from _Donovan Johnson_, Oct 12 2008