cp's OEIS Frontend

A250298 Primes p such that the largest integer m such that both m and m-1 factor into primes less than or equal to p is a perfect square, m = k^2.

%I A250298 #17 Mar 13 2015 15:16:27
%S A250298 3,5,11,13,29,53,103
%N A250298 Primes p such that the largest integer m such that both m and m-1 factor into primes less than or equal to p is a perfect square, m = k^2.
%C A250298 List of primes p = A000040(i) such that A117581(i) (that is, A002072(i)+1) is a perfect square.
%C A250298 There are no analogous primes p < 107 for which m-1 defined above is a perfect square.
%e A250298 p = 3 gives m = 3^2;
%e A250298 p = 5 gives m = 9^2;
%e A250298 p = 11 gives m = 99^2;
%e A250298 p = 13 gives m = 351^2;
%e A250298 p = 29 gives m = 13311^2;
%e A250298 p = 53 gives m = 1205645^2;
%e A250298 p = 103 gives m = 138982582999^2.
%Y A250298 Cf. A000040, A002072, A117581.
%K A250298 hard,more,nonn
%O A250298 1,1
%A A250298 _Don N. Page_, Jan 15 2015