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A246067 Record values in A246066. 3

%I #17 Nov 11 2017 16:25:29

%S 4,8,16,25,27,32,49,64,81,121,125,128,169,243,256,289,343,361,512,625,

%T 729,841,961,1024,1331,1369,1681,1849,2048,2187,2401,2809,3125,3481,

%U 3721,4096,4489,4913,5041,5329,6241,6561,6859,7921,8192,9409,10201,10609,11449

%N Record values in A246066.

%C Subsequence of A025475. The missing terms of A025475 are 1 and prime powers q^n for which there is a smaller prime power p^m with q^n-q <= p^m-p, i.e., q^n = p^m+d for some d <= q-p. The first cases: 9 = 3^2 = 2^3+1, 529 = 23^2 = 2^9+17, 2197 = 13^3 = 3^7+10, 2209 = 47^2 = 3^7+22, 6889 = 83^2 = 19^3+30. - _Jens Kruse Andersen_, Aug 26 2014

%H Jens Kruse Andersen, <a href="/A246067/b246067.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) k=2; for(n=0, 10506, k=k-1; r=k+1; until(vecmax(vector(#f[, 1], i, f[i, 1]^f[i, 2]))>vecmax(f[, 1])+n, k++; f=factor(k)); if(k>r, print1(k, ", ")));

%Y Cf. A025475, A246066, A246068.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Aug 23 2014

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Last modified July 28 09:39 EDT 2024. Contains 374676 sequences. (Running on oeis4.)