[seqfan] Pairwise sums are all semiprimes. II
zak seidov
zakseidov at yahoo.com
Sat Jun 12 20:15:55 CEST 2010
A1
a(1) = 1; for n>1, a(n) = smallest number of the form 4k+1 and a(n) > a(n-1) such that the pairwise sums of elements are all semiprimes.
1, 9, 13, 25, 133, 193, 18673, 57313, 1032313, 4387273
Or, for i<>J, (a(i)+a(j)/2 are primes.
A2
a(1) = 3; for n>1, a(n) = smallest number of the form 4k+3 and a(n) > a(n-1) such that the pairwise sums of elements are all semiprimes.
3, 7, 19, 55, 139, 859, 2119, 112999, 333679, 10040119, 15363619, 548687179
Are A1 and A2 finite? More terms?
Thanks,
Zak
More information about the SeqFan
mailing list