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%I #8 Jan 01 2020 21:54:02
%S 3,2,2,2,2,3,5,5,7,11,11,11,13,17,17,19,23,23,23,29,29,29,31,37,37,41,
%T 41,41,41,43,53,53,53,59,59,61,67,67,67,71,73,73,79,79,83,83,89,97,97,
%U 97,97,101,101,107,107,113,113,127,127,127,127,127,131,137
%N If T(n)>=n is the nearest triangular number to n and p_n is the n-th prime, then a(n) is the least prime such that T(a(n)*p_n)-a(n)p_n is a triangular number
%C Conjecture. For n>=2 the sequence is nondecreasing.
%C The conjecture holds for the first 10000 terms. [_Charles R Greathouse IV_, Feb 21 2011]
%H Charles R Greathouse IV, <a href="/A145376/b145376.txt">Table of n, a(n) for n = 1..10000</a>
%Y Cf. A000217, A145043, A145016, A145281, A145300.
%K nonn
%O 1,1
%A _Vladimir Shevelev_, Oct 09 2008
%E a(27)-a(64) from _Charles R Greathouse IV_, Feb 21 2011
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