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Search: id:A155098
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| A155098 |
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Numbers n such that n^2 = -1 mod (41) |
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+0
6
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| 9, 32, 50, 73, 91, 114, 132, 155, 173, 196, 214, 237, 255, 278, 296, 319, 337, 360, 378, 401, 419, 442, 460, 483, 501, 524, 542, 565, 583, 606, 624, 647, 665, 688, 706, 729, 747, 770, 788, 811, 829, 852, 870, 893, 911, 934, 952, 975, 993, 1016, 1034, 1057
(list; graph; listen)
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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=41, a+b=41, a*b=41h+1, h<=10; for h=7, a+b=41, a*b=41*7+1=288, a=9, b=32; other pairs (9+41, 32+41) and so on.
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CROSSREFS
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Cf. A002144, A155086, A155095, A155096, A155097
Sequence in context: A018833 A130510 A120498 this_sequence A063134 A152619 A027620
Adjacent sequences: A155095 A155096 A155097 this_sequence A155099 A155100 A155101
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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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