cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A305887 The least increasing sequence of numbers where all pairwise sums are semiprimes, with a(1)=4.

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%I A305887 #17 May 29 2025 12:37:42
%S A305887 4,5,10,29,173,249,19073,71489,1166789,3800333,7021253,15920129,
%T A305887 84551600693,224223772673
%N A305887 The least increasing sequence of numbers where all pairwise sums are semiprimes, with a(1)=4.
%C A305887 All terms > 10 are congruent to {3, 9} mod 10.
%C A305887 Triangle of resulting semiprimes begins:
%C A305887     9
%C A305887    14,  15
%C A305887    33,  34,  39
%C A305887   177, 178, 183, 202
%t A305887 Nest[Append[#, Block[{k = Last[#] + 1}, While[! AllTrue[#, PrimeOmega[k + #] == 2 &], k++]; k]] &, {4}, 7] (* _Michael De Vlieger_, Jun 14 2018 *)
%Y A305887 Cf. A001358, A116656, A164979, A181620.
%K A305887 nonn,more
%O A305887 1,1
%A A305887 _Zak Seidov_, Jun 14 2018
%E A305887 a(13) from _Giovanni Resta_, Jun 14 2018
%E A305887 a(14) from _Jinyuan Wang_, May 29 2025