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A087969 GCD[1+2^n, n^2] is not a square number. +0
1
9, 45, 50, 63, 81, 99, 117, 150, 153, 171, 207, 225, 261, 279, 315, 333, 350, 369, 387, 405, 423, 441, 450, 477, 495, 531, 549, 550, 567, 585, 603, 605, 639, 650, 657, 693, 711, 729, 747, 765, 801, 819, 850, 855, 873, 891, 909, 927, 950, 963, 981, 1014, 1017 (list; graph; listen)
OFFSET

1,1

FORMULA

Solutions x to Integer[Sqrt[GCD[1+2^x, x^2]]]=False.

EXAMPLE

n=9: GCD[513,81]=27=a(9) is not a square number.

MATHEMATICA

Do[s=Sqrt[GCD[n^2, 2^n+1]]; If[ !IntegerQ[s], Print[n]], {n, 1, 1000}]

CROSSREFS

Sequence in context: A037207 A096688 A124983 this_sequence A044111 A006886 A053816

Adjacent sequences: A087966 A087967 A087968 this_sequence A087970 A087971 A087972

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 22 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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