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A274905
Largest prime factor of 8^n + 1.
11
2, 3, 13, 19, 241, 331, 109, 5419, 673, 87211, 1321, 20857, 38737, 22366891, 14449, 18837001, 22253377, 43691, 279073, 160465489, 4562284561, 77158673929, 4327489, 168749965921, 487824887233, 1133836730401, 21841, 272010961, 88959882481, 96076791871613611
OFFSET
0,1
LINKS
J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
FORMULA
a(n) = A006530(A062395(n)). - Michel Marcus, Jul 11 2016
a(n) = A002587(3*n). - Amiram Eldar, Feb 02 2020
MAPLE
8^4 + 1 = 4097 = 17*241, so a(4) = 241.
MATHEMATICA
Table[FactorInteger[8^n + 1][[-1, 1]], {n, 0, 40}]
PROG
(Magma) [Maximum(PrimeDivisors(8^n+1)): n in [0..40]];
CROSSREFS
Cf. similar sequences listed in A274903.
Sequence in context: A103087 A302485 A135118 * A234366 A084958 A249573
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Jul 11 2016
EXTENSIONS
Terms to a(100) in b-file from Vincenzo Librandi, Jul 12 2016
a(101)-a(354) in b-file from Amiram Eldar, Feb 02 2020
a(355)-a(502) in b-file from Max Alekseyev, May 28 2022, Sep 06 2022, Feb 25 2023
STATUS
approved