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A210957 Prime pair (p, q), p<=q, such that p + q = 2*n and p*q is the minimal product. 1

%I #15 Jul 18 2012 04:46:19

%S 2,2,3,3,3,5,3,7,5,7,3,11,3,13,5,13,3,17,3,19,5,19,3,23,5,23,7,23,3,

%T 29,3,31,5,31,7,31,3,37,5,37,3,41,3,43,5,43,3,47,5,47,7,47,3,53,5,53,

%U 7,53,3,59,3,61,5,61,7,61,3,67,5,67,3,71,3,73

%N Prime pair (p, q), p<=q, such that p + q = 2*n and p*q is the minimal product.

%C A020481 and A020482 interleaved.

%F p_n = A020481(n), n >= 2.

%F q_n = A020482(n), n >= 2.

%F p_n + q_n = 2*n, n >= 2.

%F p_n * q_n = A073046(n), n >= 2.

%e -----------------------------------

%e 2*n A073046(n)

%e Pair = =

%e n (p, q) p+q p*q

%e -----------------------------------

%e 2 (2, 2) 4 4

%e 3 (3, 3) 6 9

%e 4 (3, 5) 8 15

%e 5 (3, 7) 10 21

%e 6 (5, 7) 12 35

%e 7 (3, 11) 14 33

%e 8 (3, 13) 16 39

%e 9 (5, 13) 18 65

%e 10 (3, 17) 20 51

%e 11 (3, 19) 22 57

%e 12 (5, 19) 24 95

%Y Cf. A000040, A002373, A073046, A210967.

%K nonn

%O 2,1

%A _Omar E. Pol_, Jun 29 2012

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Last modified August 13 14:36 EDT 2024. Contains 375142 sequences. (Running on oeis4.)