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A272184
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Numbers n such that Bernoulli number B_{n} has denominator 282.
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27
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46, 322, 782, 874, 1058, 1702, 2162, 2254, 2714, 2806, 3266, 3634, 4646, 4738, 4922, 5014, 6118, 6302, 6394, 6854, 7222, 7406, 7682, 8326, 8878, 9062, 9154, 9706, 10442, 10534, 11822, 11914, 12098, 12374, 12466, 13018, 13294, 14122, 14306, 14398, 14582
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OFFSET
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1,1
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COMMENTS
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282 = 2 * 3 * 47.
All terms are multiples of a(1) = 46.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 41.
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LINKS
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EXAMPLE
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Bernoulli B_{46} is 596451111593912163277961/282, hence 46 is in the sequence.
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MAPLE
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with(numtheory): P:=proc(q, h) local n; for n from 2 by 2 to q do
if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6, 282);
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MATHEMATICA
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Select[46 Range@ 320, Denominator@ BernoulliB@ # == 282 &] (* Michael De Vlieger, Apr 29 2016 *)
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PROG
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(PARI) isok(n) = denominator(bernfrac(n)) == 282; \\ Michel Marcus, Apr 22 2016
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CROSSREFS
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Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272185, A272186.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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