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.

A145376 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.

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%I A145376 #10 Jul 22 2025 06:13:11
%S A145376 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 A145376 41,41,41,43,53,53,53,59,59,61,67,67,67,71,73,73,79,79,83,83,89,97,97,
%U A145376 97,97,101,101,107,107,113,113,127,127,127,127,127,131,137
%N A145376 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 A145376 Conjecture. For n>=2 the sequence is nondecreasing.
%C A145376 The conjecture holds for the first 10000 terms. [_Charles R Greathouse IV_, Feb 21 2011]
%H A145376 Charles R Greathouse IV, <a href="/A145376/b145376.txt">Table of n, a(n) for n = 1..10000</a>
%Y A145376 Cf. A000217, A145043, A145016, A145281, A145300.
%K A145376 nonn
%O A145376 1,1
%A A145376 _Vladimir Shevelev_, Oct 09 2008
%E A145376 a(27)-a(64) from _Charles R Greathouse IV_, Feb 21 2011