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Search: id:A152680
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| 4, 12, 16, 28, 36, 40, 52, 60, 72, 88, 96, 100, 108, 112, 136, 148, 156, 172, 180, 192, 196, 228, 232, 240, 256, 268, 276, 280, 292, 312, 316, 336, 348, 352, 372, 388, 396, 400, 408, 420, 432, 448, 456, 460, 508, 520, 540, 556, 568, 576, 592, 600, 612, 616
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OFFSET
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1,1
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COMMENT
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If we take 4 numbers : 1, A002314(n), A152676(n), A152680(n) then
multiplication table modulo A002144(n) is isomorphc with latin square:
1 2 3 4
2 4 1 3
3 1 4 2
4 3 2 1
and isomorphic with multiplication table of {1,I,-I,-1} where I is Sqrt[ -1],
A152680(n) is isomorphic with -1, A002314(n) with I or -I and A152676(n) vice versa -I or I.
1, A002314(n), A152676(n), A152680(n) are subfield of Galois Field [A002144(n)].
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MATHEMATICA
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aa = {}; Do[If[Mod[Prime[n], 4] == 1, AppendTo[aa, Prime[n] - 1]], {n, 1, 200}]; aa (*Artur Jasinski*)
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CROSSREFS
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A002314, A152676, A152680
Sequence in context: A090818 A075191 A028594 this_sequence A066632 A038242 A048661
Adjacent sequences: A152677 A152678 A152679 this_sequence A152681 A152682 A152683
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Dec 10 2008
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