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A174817 Near primes to Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131. 3
808017424794512875886459904961710757005754367999999957, 808017424794512875886459904961710757005754367999999947, 808017424794512875886459904961710757005754368000000083, 808017424794512875886459904961710757005754367999999803, 808017424794512875886459904961710757005754368000000283 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Sorted by (increasing distance to Mnr = abs(A174818(n)).
LINKS
Eric Weisstein's World of Mathematics, Sporadic Group
FORMULA
a(n) = Mnr + A174818(n).
EXAMPLE
a(1) = Mnr - 43 = 808017424794512875886459904961710757005754367999999957 is the nearest prime to Mnr;
a(3) = Mnr + 83 = 808017424794512875886459904961710757005754368000000083 is the smallest prime greater than Mnr; remarkably, (a(143),a(141)) = (Mnr-9511,Mnr-9509) is a twin prime pair.
MATHEMATICA
With[{mnr=808017424794512875886459904961710757005754368000000000}, SortBy[ {#, Abs[ #-mnr]}&/@Table[NextPrime[mnr, n], {n, {-4, -3, -2, -1, 1, 2, 3, 4}}], Last]][[All, 1]] (* Harvey P. Dale, Nov 14 2021 *)
CROSSREFS
Sequence in context: A358419 A095500 A250494 * A335798 A174671 A095502
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Apr 02 2010
EXTENSIONS
a(5) aligned with b-file by Georg Fischer, Jul 11 2022
STATUS
approved

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Last modified June 24 07:41 EDT 2024. Contains 373663 sequences. (Running on oeis4.)