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A272383 Numbers n such that Bernoulli number B_{n} has denominator 3318. 1
78, 1014, 2418, 3354, 7566, 8502, 10842, 11622, 12246, 12714, 13026, 15054, 15366, 15522, 16458, 17394, 23946, 26286, 27222, 27534, 29562, 29874, 30342, 31434, 31902, 33774, 34242, 35646, 36114, 40794, 42198, 43602, 44538, 47814, 48126, 48282, 49218, 50154, 52494, 55302, 57174, 57642, 59046, 59982 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
3318 = 2 * 3 * 7 * 79.
All terms are multiples of a(1) = 78.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 37.
LINKS
EXAMPLE
Bernoulli B_{78} is 414846365575400828295179035549542073492199375372400483487/3318, hence 78 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, 3318);
MATHEMATICA
Select[78 Range@ 800, Denominator@ BernoulliB@ # == 3318 &] (* Michael De Vlieger, Apr 28 2016 *)
PROG
(PARI) lista(nn) = for(n=1, nn, if(denominator(bernfrac(n)) == 3318, print1(n, ", "))); \\ Altug Alkan, Apr 28 2016
(Python)
from sympy import divisors, isprime
A272383_list = []
for i in range(78, 10**6, 78):
for d in divisors(i):
if d not in (1, 2, 6, 78) and isprime(d+1):
break
else:
A272383_list.append(i) # Chai Wah Wu, May 02 2016
CROSSREFS
Sequence in context: A119093 A128951 A370209 * A027786 A175383 A190396
KEYWORD
nonn,easy
AUTHOR
Paolo P. Lava, Apr 28 2016
EXTENSIONS
a(9)-a(22) from Altug Alkan, Apr 28 2016
More terms from Michael De Vlieger, Apr 28 2016
STATUS
approved

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)