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A295598
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Numbers k such that Bernoulli number B_{k} has denominator 56786730.
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1
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60, 13620, 21180, 23340, 26940, 31260, 40620, 45420, 49620, 52620, 58020, 59460, 69780, 73020, 74220, 78180, 79140, 83940, 89580, 97260, 97620, 100020, 104460, 111660, 116940, 117060, 119820, 123180, 125340, 127860, 137820, 140460, 142260, 142620, 157980, 162420
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OFFSET
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1,1
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COMMENTS
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56786730 = 2*3*5*7*11*13*31*61.
All terms are multiples of a(1) = 60.
For these numbers numerator(B_{k}) mod denominator(B_{k}) = 34488049.
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LINKS
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EXAMPLE
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Bernoulli B_{60} is
-1215233140483755572040304994079820246041491/56786730, hence 60 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, 56786730);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 11, 13, 31, 61}:
select(filter, [seq(i, i=1..10^5)]);
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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, A272184, A272185, A272186, A272369.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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