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A087969
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GCD[1+2^n, n^2] is not a square number.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| Solutions x to Integer[Sqrt[GCD[1+2^x, x^2]]]=False.
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EXAMPLE
| n=9: GCD[513,81]=27=a(9) is not a square number.
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MATHEMATICA
| Do[s=Sqrt[GCD[n^2, 2^n+1]]; If[ !IntegerQ[s], Print[n]], {n, 1, 1000}]
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CROSSREFS
| Sequence in context: A096688 A181431 A124983 * A044111 A006886 A053816
Adjacent sequences: A087966 A087967 A087968 * A087970 A087971 A087972
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Sep 22 2003
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