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A305887 The least increasing sequence of numbers where all pairwise sums are semiprimes, with a(1)=4. 0

%I #13 Jun 18 2018 05:38:01

%S 4,5,10,29,173,249,19073,71489,1166789,3800333,7021253,15920129,

%T 84551600693

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

%C All terms > 10 are congruent to {3, 9} mod 10.

%C Triangle of resulting semiprimes begins:

%C 9

%C 14, 15

%C 33, 34, 39

%C 177, 178, 183, 202

%t Nest[Append[#, Block[{k = Last[#] + 1}, While[! AllTrue[#, PrimeOmega[k + #] == 2 &], k++]; k]] &, {4}, 7] (* _Michael De Vlieger_, Jun 14 2018 *)

%Y Cf. A001358, A116656, A164979, A181620.

%K nonn,more

%O 1,1

%A _Zak Seidov_, Jun 14 2018

%E a(13) from _Giovanni Resta_, Jun 14 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)