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A174817
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Near primes to Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131.
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3
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808017424794512875886459904961710757005754367999999957, 808017424794512875886459904961710757005754367999999947, 808017424794512875886459904961710757005754368000000083, 808017424794512875886459904961710757005754367999999803, 808017424794512875886459904961710757005754368000000283
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OFFSET
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1,1
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COMMENTS
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Sorted by (increasing distance to Mnr = abs(A174818(n)).
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 1..146
Dario A. Alpern, Factorization using the Elliptic Curve Method
Eric Weisstein's World of Mathematics, Sporadic Group
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FORMULA
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a(n) = Mnr + A174818(n).
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EXAMPLE
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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.
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A001228, A003131, A174818.
Sequence in context: A095498 A095500 A250494 * A335798 A174671 A095502
Adjacent sequences: A174814 A174815 A174816 * A174818 A174819 A174820
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Apr 02 2010
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EXTENSIONS
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a(5) aligned with b-file by Georg Fischer, Jul 11 2022
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STATUS
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approved
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