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A272369
Numbers n such that Bernoulli number B_{n} has denominator 1410.
15
92, 184, 1564, 1748, 2116, 3496, 4232, 4324, 5428, 5612, 6532, 8648, 9476, 9844, 10028, 10856, 11224, 12604, 14444, 15364, 16652, 18124, 18952, 19412, 20056, 20884, 21068, 23644, 24932, 26036, 26588, 28612, 28796, 28888, 29164, 30728, 31004, 31924, 32108, 32476, 33304, 34868, 35236, 35788, 36248, 36524
OFFSET
1,1
COMMENTS
1410 = 2 * 3 * 5 * 47.
All terms are multiple of a(1) = 92.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 1333.
EXAMPLE
Bernoulli B_{92} is -1295585948207537527989427828538576749659341483719435143023316326829946247/1410, hence 92 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, 1410);
MATHEMATICA
Select[92 Range@ 360, Denominator@ BernoulliB@ # == 1410 &] (* Michael De Vlieger, Apr 28 2016 *)
PROG
(PARI) lista(nn) = for(n=1, nn, if(denominator(bernfrac(n)) == 1410, print1(n, ", "))); \\ Altug Alkan, Apr 28 2016
(Python)
from sympy import divisors, isprime
A272369_list = []
for i in range(92, 10**6, 92):
for d in divisors(i):
if d not in (1, 2, 4, 46) and isprime(d+1):
break
else:
A272369_list.append(i) # Chai Wah Wu, May 02 2016
KEYWORD
nonn,easy
AUTHOR
Paolo P. Lava, Apr 28 2016
EXTENSIONS
a(18)-a(29) from Altug Alkan, Apr 28 2016
More terms from Michael De Vlieger, Apr 28 2016
STATUS
approved