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

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..3.

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, Sep 26 2005

CROSSREFS

Sequence in context: A061433 A069659 A271556 * A344402 A167723 A203107

Adjacent sequences:  A110850 A110851 A110852 * A110854 A110855 A110856

KEYWORD

nonn,bref

AUTHOR

Giovanni Teofilatto, Sep 17 2005

EXTENSIONS

Edited by Ray Chandler, Sep 26 2005

STATUS

approved

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Last modified October 18 08:19 EDT 2021. Contains 348066 sequences. (Running on oeis4.)