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 A282773 Numbers n such that Bernoulli number B_{n} has denominator 498. 15
 82, 574, 1066, 1394, 3034, 3362, 3854, 4838, 5494, 5822, 6478, 7462, 7954, 8282, 8774, 8938, 10414, 11234, 12218, 12382, 12874, 13694, 15826, 16154, 17302, 18614, 18778, 21074, 21238, 21566, 22058, 22222, 22714, 23206, 23534, 23698, 25174, 25502, 25994 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 498 = 2 * 3 * 83. All terms are multiples of a(1) = 82. For these numbers numerator(B_{n}) mod denominator(B_{n}) = 77. n such that 82 | n but there are no primes p other than 2, 3, 83 such that p-1 | n. - Robert Israel, Mar 07 2017 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 Wikipedia, Von Staudt-Clausen theorem EXAMPLE Bernoulli B_{82} is 1677014149185145836823154509786269900207736027570253414881613/498, hence 82 is in the sequence. MAPLE 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, 498); # Alternative: filter:= n -> select(isprime, map(`+`, numtheory:-divisors(n), 1)) = {2, 3, 83}: select(filter, [seq(i, i=82..10^5, 82)]); # Robert Israel, Mar 07 2017 MATHEMATICA Select[82 Range[360], Denominator@ BernoulliB@ # == 498 &] (* Michael De Vlieger, Mar 07 2017 *) CROSSREFS Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186, A272369. Cf. A002445. Sequence in context: A316241 A305951 A317212 * A182277 A342832 A186688 Adjacent sequences: A282770 A282771 A282772 * A282774 A282775 A282776 KEYWORD nonn AUTHOR Paolo P. Lava, Mar 07 2017 EXTENSIONS More terms from Michael De Vlieger, Mar 07 2017 STATUS approved

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Last modified June 16 08:45 EDT 2024. Contains 373424 sequences. (Running on oeis4.)