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A134407 Numbers n such that n^2 + 1 is a composite number. 3
3, 5, 7, 8, 9, 11, 12, 13, 15, 17, 18, 19, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(1)=3, because 3^2 + 1 = 10 is a composite number,

a(2)=5, because 5^2 + 1 = 26 is a composite number,

a(3)=7, becasue 7^2 + 1 = 50 is composite.

MAPLE

ts_fn2:=proc(n) local i, tren, ans; ans:=[ ]: for i from 1 to n do tren := i^(2)+1: if (isprime(tren) = false) then ans:=[ op(ans), i ]: fi od: RETURN(ans) end: ts_fn2(200);

MATHEMATICA

Select[Range@100, !PrimeQ[#^2+1]&] (* From Vladimir Joseph Stephan Orlovsky, Feb 03 2012 *)

CROSSREFS

Cf. A002496, A002808, A005574, A018252.

Sequence in context: A020884 A183855 A024352 * A183868 A144724 A196990

Adjacent sequences:  A134404 A134405 A134406 * A134408 A134409 A134410

KEYWORD

nonn,changed

AUTHOR

Jani Melik (jani_melik(AT)hotmail.com), Jan 18 2008

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.