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Search: id:A155097
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| A155097 |
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Numbers n such that n^2 = -1 mod (37) |
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+0
6
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| 6, 31, 43, 68, 80, 105, 117, 142, 154, 179, 191, 216, 228, 253, 265, 290, 302, 327, 339, 364, 376, 401, 413, 438, 450, 475, 487, 51, 524, 549, 561, 586, 598, 623, 635, 660, 672, 697, 709, 734, 746, 771, 783, 808, 820, 845, 857, 882, 894, 919, 931, 956
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OFFSET
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1,1
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COMMENT
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First pair (a,b); a+b=p, a*b=p*h+1, with h<=(p-1)/4; other pairs (a+p, b+p);
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FORMULA
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First pair (a,b); a+b=p, a*b=p*h+1, with h<=(p-1)/4; other pairs (a+p, b+p);
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EXAMPLE
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Let p=37, a+b=37, a*b=37h+1, with h<=9; for h=5, a+b=37, a*b=37*5+1=186, a=6, b=31; other pairs (6+37, 31+37) and so on.
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CROSSREFS
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Cf. A002144, A155086, A155095, A155096, A155098
Sequence in context: A101340 A156825 A043058 this_sequence A025524 A042841 A087725
Adjacent sequences: A155094 A155095 A155096 this_sequence A155098 A155099 A155100
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 20 2009
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