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.

A167188 Smaller prime power associated with record gap in A167186.

This page as a plain text file.
%I A167188 #11 Jul 27 2024 13:54:57
%S A167188 1,4,9,16,32,81,128,169,361,1024,1369,2401,4489,5329,6889,8192,12769,
%T A167188 19683,32768,39601,44521,85849,177241,218089,262144,279841,436921,
%U A167188 597529,744769,786769,1142761,1771561,5340721,6135529,8826841,10699441,17447329,18464209
%N A167188 Smaller prime power associated with record gap in A167186.
%H A167188 Donovan Johnson, <a href="/A167188/b167188.txt">Table of n, a(n) for n = 1..200</a>
%e A167188 32 is in the sequence since the gap between 32 and the next prime power, 49, is greater than any previous gap.
%o A167188 (PARI) isA025475(n) = (omega(n) == 1 & !isprime(n)) || (n == 1)
%o A167188 d_max=0;n_prev=1;for(n=2,32e6,if(isA025475(n),d=n-n_prev;if(d>d_max,print(n_prev);d_max=d);n_prev=n))
%Y A167188 Larger prime power: A167189.
%Y A167188 Record gaps between nonprime prime powers: A167186.
%Y A167188 Gaps between nonprime prime powers: A053707.
%Y A167188 List of nonprime prime powers: A025475.
%K A167188 nonn
%O A167188 1,2
%A A167188 _Michael B. Porter_, Nov 01 2009