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A153275 Numbers n such that 10*n+1 is not prime. 3

%I #27 Sep 08 2022 08:45:39

%S 0,2,5,8,9,11,12,14,16,17,20,22,23,26,29,30,32,34,35,36,37,38,39,41,

%T 44,45,47,48,50,51,53,55,56,58,59,61,62,65,67,68,71,72,73,74,77,78,79,

%U 80,83,84,85,86,87,89,90,92,93,95,96,98,100,101,104,107,108,110

%N Numbers n such that 10*n+1 is not prime.

%C Multiplied by 2 we have 4,10,16,18,... which is the set of even terms of A153329. - _R. J. Mathar_, Jan 23 2009

%H Vincenzo Librandi, <a href="/A153275/b153275.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = (A053178(n)-1)/10. - _R. J. Mathar_, Oct 30 2009

%e Distribution of the terms in the following triangular array:

%e *;

%e *,*;

%e 2,*,*;

%e *,*,*,8;

%e *,*,*,*,12;

%e *,*,9,*,*,*;

%e *,*,*,*,*,*,*;

%e 5,*,*,*,*,22,*,*;

%e *,*,*,17,*,*,*,*,36;

%e *,*,*,*,23,*,*,*,*,44;

%e *,*,16,*,*,*,*,39,*,*,*; etc.

%e where * marks the non-integer values of (2*h*k + k + h)/5 with h >= k >= 1. - _Vincenzo Librandi_, Jan 15 2013

%p q:= n-> not isprime(10*n+1):

%p select(q, [$0..120])[]; # _Alois P. Heinz_, Jan 21 2021

%t Select[Range[0, 200], !PrimeQ[10*# + 1]&] (* _Vincenzo Librandi_, Jan 12 2013 *)

%o (Magma) [n: n in [0..150] | not IsPrime(10*n + 1)]; // _Vincenzo Librandi_, Jan 12 2013

%Y Cf. A024912, A053178, A153329.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Dec 22 2008

%E 63 replaced by 53 by _R. J. Mathar_, Jan 23 2009

%E 0 added by _Arkadiusz Wesolowski_, Aug 03 2011

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)