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

808017424794512875886459904961710757005754367999999957, 808017424794512875886459904961710757005754367999999947, 808017424794512875886459904961710757005754368000000083, 808017424794512875886459904961710757005754367999999803, 808017424794512875886459904961710757005754368000000283

Offset: 1

Author

Reinhard Zumkeller, Apr 02 2010

Keywords

• nonn

Comments

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

Examples

			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.
		

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

Crossrefs

Cf. A001228, A003131, A174818.

Programs

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 *)

Formula

a(n) = Mnr + A174818(n).

Extensions

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