A174817 Near primes to Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131.

808017424794512875886459904961710757005754367999999957, 808017424794512875886459904961710757005754367999999947, 808017424794512875886459904961710757005754368000000083, 808017424794512875886459904961710757005754367999999803, 808017424794512875886459904961710757005754368000000283

Offset

1,1

Comments

Sorted by (increasing distance to Mnr = abs(A174818(n)).

Links

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

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

Cf. A001228, A003131, A174818.

Sequence in context: A358419 A095500 A250494 * A335798 A174671 A095502

Adjacent sequences: A174814 A174815 A174816 * A174818 A174819 A174820

Keyword

nonn

Author

Reinhard Zumkeller, Apr 02 2010

Extensions

a(5) aligned with b-file by Georg Fischer, Jul 11 2022

Status

approved