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A045942 Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities). 13

%I #28 Feb 11 2023 22:52:36

%S 2522,4921,18241,25553,27290,40313,90834,95513,98282,98705,117002,

%T 120962,136073,136865,148682,153794,181441,181554,185825,204323,

%U 211673,211674,212401,215034,216361,231002,231665,234641,236041,236634,266282,281402,284344,285410

%N Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities).

%H Donovan Johnson, <a href="/A045942/b045942.txt">Table of n, a(n) for n = 1..10000</a>

%t f[n_]:=Plus@@Last/@FactorInteger[n];lst={};lst={};Do[If[f[n]==f[n+1]==f[n+2]==f[n+3]==f[n+4]==f[n+5],AppendTo[lst,n]],{n,0,10!}];lst (* _Vladimir Joseph Stephan Orlovsky_, May 12 2010 *)

%Y Numbers m through m+k have the same number of prime divisors (with multiplicity): A045920 (k=1), A045939 (k=2), A045940 (k=3), A045941 (k=4), this sequence (k=5), A123103 (k=6), A123201 (k=7), A358017 (k=8), A358018 (k=9), A358019 (k=10).

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)