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A179612 Sums of pairs of betrothed (or quasi-amicable) numbers. 1

%I #9 Jan 27 2019 07:53:43

%S 123,335,2975,3223,4319,11903,25479,30239,138239,393119,416639,508895,

%T 773759,861839,1071359,1391039,1645055,2903039,2413151,2298239,

%U 2903039,2515199,2557439,2757887,2695679,3856895,4147199,4717439,4245695,4561919,5391359,5322239

%N Sums of pairs of betrothed (or quasi-amicable) numbers.

%C This is to A161005 sums of pairs of amicable numbers as betrothed (or quasi-amicable) numbers A005276 are to A063990 amicable numbers. The subsequence of primes begins: 11903, 138239, 1071359.

%F a(n) = A003502(n) + A003503(n). {(j + k) such that sigma(j)=sigma(k)=j+k+1, where sigma=A000203}.

%e a(1) = 48 + 75 = 123 = 3 * 41.

%e a(2) = 140 + 195 = 335 = 5 * 67.

%e a(6) = 5775 + 6128 = 11903 is the smallest prime in these pair-sums.

%Y Cf. A000203, A003502, A003503, A005276, A063990, A161005.

%K nonn

%O 1,1

%A _Jonathan Vos Post_, Jan 08 2011

%E More terms from _Amiram Eldar_, Jan 27 2019

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Last modified April 24 14:32 EDT 2024. Contains 371960 sequences. (Running on oeis4.)