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A046116
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Numbers k such that no Paley-type Hadamard matrix of order k exists.
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1
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92, 116, 156, 172, 184, 188, 232, 236, 260, 268, 292, 324, 356, 372, 376, 404, 412, 428, 436, 452, 472, 476, 508, 520, 532, 536, 584, 596, 604, 612, 652, 668, 712, 716, 732, 756, 764, 772, 808, 836, 852, 856, 872, 876, 892, 904, 932, 940, 944, 952, 956
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OFFSET
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1,1
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LINKS
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FORMULA
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Divisible by 4 but not of form 2^a*(q+1), q = odd prime power.
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PROG
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(PARI) isp(k) = for (i=0, valuation(k, 2), if (isprimepower(k/2^i-1, &p) && (p%2), return(1)); ); return(0);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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