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Search: id:A110853
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| A110853 |
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Squares of the form prime(n)*(n+1)^2 + 1. |
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+0
1
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OFFSET
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1,1
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COMMENT
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No further terms less than 4.89*10^24 (n=62662502). - Chandler
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EXAMPLE
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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.
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MATHEMATICA
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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
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CROSSREFS
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Sequence in context: A104266 A061433 A069659 this_sequence A167723 A003302 A053915
Adjacent sequences: A110850 A110851 A110852 this_sequence A110854 A110855 A110856
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KEYWORD
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nonn,bref
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AUTHOR
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Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Sep 17 2005
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EXTENSIONS
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Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 26 2005
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