[seqfan] Re: New sequence

Neil Fernandez primeness at borve.org
Thu Apr 6 14:35:50 CEST 2017


In message <QTyJOIArLj5YFwAg at borve.org>, Neil Fernandez
<primeness at borve.org> writes

>Another nice sequence is
>
>a(n):= the number of pairs of primes {p_1, p_2} that sum to 2n and for
>which 2n+p_1 and 2n+p_2 are both prime.
>
>For this I get
>
>0,0,0,2,2,2,1,2,3,2,1,5,1,0,1,0,5,1,1,5,0,1,6,...
>
>And the numbers for which a(n/2) is a maximum run
>
>8, 18, 24, 42, 60, 90, 120, 210, 330, 420, 630, 840, 1050, 1260, 1470,
>1680, 1890

Sorry - this got messed up. The sequences should be

0,0,0,1,1,1,0,1,1,1,0,2,0,0,...

and

2, 8, 24, 60, 120, 210, 420, 630, 840, 1470, 1680, 2310, 2730, 4620,
4830, 5460, 7770, 8190, 9240, 11550, 13860, 16380, 18480, 19110,...

Neil

-- 
Neil Fernandez



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