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A110853 Squares of the form prime(n)*(n+1)^2 + 1. 0
9, 81, 1089 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

No further terms less than 4.89*10^24 (n=62662502). - Chandler

EXAMPLE

prime(1)*(1+1)^2+1= 2* 4+1= 9 = 3^2.

prime(3)*(3+1)^2+1= 5* 42+1= 81 = 9^2.

prime(7)*(7+1)^2+1=31*100+1=1089 =33^2.

MATHEMATICA

Do[ s = Prime[n](n + 1)^2 + 1; If[ IntegerQ[ Sqrt[s]], Print[s]], {n, 5000000}] Robert G. Wilson v (rgwv(at)rgwv.com), Sep 26 2005

CROSSREFS

Sequence in context: A104266 A061433 A069659 * A167723 A203107 A168493

Adjacent sequences:  A110850 A110851 A110852 * A110854 A110855 A110856

KEYWORD

nonn,bref

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Sep 17 2005

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 26 2005

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Last modified February 17 17:35 EST 2012. Contains 206061 sequences.