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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 (list; graph; refs; listen; history; text; internal format)
 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. LINKS Chai Wah Wu, Table of n, a(n) for n = 1..10000 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 CROSSREFS Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186. Sequence in context: A252067 A182266 A116215 * A044424 A044805 A063326 Adjacent sequences: A272366 A272367 A272368 * A272370 A272371 A272372 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

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Last modified June 10 07:28 EDT 2023. Contains 363195 sequences. (Running on oeis4.)