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A087743 Numbers n >= 3 with property that the remainder when n is divided by k (for 3 <= k <= n-2) is not 1. 0

%I #7 Nov 21 2013 12:48:13

%S 3,4,5,6,8,12,14,18,20,24,30,32,38,42,44,48,54,60,62,68,72,74,80,84,

%T 90,98,102,104,108,110,114,128,132,138,140,150,152,158,164,168,174,

%U 180,182,192,194,198,200,212,224,228,230,234,240,242,252,258,264,270

%N Numbers n >= 3 with property that the remainder when n is divided by k (for 3 <= k <= n-2) is not 1.

%C More generally, let prime_Y consist of the numbers n >= 2+Y which never yield a remainder of Y when divided by any number from 2+Y to n-Y-1. Prime_0 are the usual primes, A000040. This sequence gives prime_2.

%F P[n, Y] = P[n-1, Y] for most terms where P is a Boolean array of numbers n and Y their order of primeness: if P[n, Y] then n is a prime of order Y

%t Select[Range[3,500],Count[Table[Mod[#,k],{k,3,#-2}],1]==0&] (* _Harvey P. Dale_, Dec 17 2011 *)

%K nonn

%O 1,1

%A Chas A Guderjahn (chasag(AT)aol.com), Oct 01 2003

%E More terms from Harvey P. Dale, Dec 17 2011

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Last modified April 23 09:48 EDT 2024. Contains 371905 sequences. (Running on oeis4.)