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A081647
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Integers congruent to 0, 1, 4, 9, 16, 25, 36 or 49 (mod 64) which are not squares.
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1
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65, 68, 73, 80, 89, 113, 128, 129, 132, 137, 153, 164, 177, 192, 193, 201, 208, 217, 228, 241, 257, 260, 265, 272, 281, 292, 305, 320, 321, 329, 336, 345, 356, 369, 384, 385, 388, 393, 409, 420, 433, 448, 449, 452, 457, 464, 473, 497, 512, 513, 516, 521, 528
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OFFSET
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1,1
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REFERENCES
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Mark A. Herkommer, Number Theory, A Programmer's Guide, McGraw-Hill, New York, 1999, page 315.
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LINKS
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MATHEMATICA
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Select[ Range[546], (Mod[ #, 64] == 0 || Mod[ #, 64] == 1 || Mod[ #, 64] == 4 || Mod[ #, 64] == 9 || Mod[ #, 64] == 16 || Mod[ #, 64] == 25 || Mod[ #, 64] == 36 || Mod[ #, 64] == 49) && !IntegerQ[ Sqrt[ # ]] & ]
With[{nn=550}, Select[Complement[Range[nn], Range[Ceiling[ Sqrt[nn]]]^2], MemberQ[ {0, 1, 4, 9, 16, 25, 36, 49}, Mod[#, 64]]&]] (* Harvey P. Dale, Jul 26 2011 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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