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A218795 Numbers that can be written in more than 1 way as p^2 + 3pq + q^2 with primes p < q. 1

%I #4 Nov 06 2012 10:55:00

%S 671,1595,3629,3839,4661,4895,5771,8459,11495,13079,17951,19829,21251,

%T 22895,23411,34751,40211,40799,43829,45791,46031,47795,49001,53009,

%U 57209,57959,60119,60491,64829,67595,70661,78755,83201,89249,98879

%N Numbers that can be written in more than 1 way as p^2 + 3pq + q^2 with primes p < q.

%C According to the comment in A218771, there is no prime in this sequence.

%C The subsequence of terms allowing more than 2 decompositions of the given form starts 136895, 266741, 716441, 902495, 941501, 963281, 1003295, 1033241, 1236539, 1245431, 1439345, 1463495, 1692995, 2300045, 2430461, 3016145, 3238289,...

%e a(1) = 671 = p^2+3pq+q^2 for (p,q)=(2,23) and (5,19), is the least term to allow more than 1 decomposition of the given form.

%Y Cf. A218794 for PARI code and further discussion.

%K nonn

%O 1,1

%A _M. F. Hasler_, Nov 05 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)