A302098 Number of prime factors (with multiplicity) of generalized Fermat number 14^(2^n) + 1.

2, 1, 2, 3, 2, 4, 2, 3

Offset

0,1

Comments

a(8) >= 5. - Chai Wah Wu, Dec 09 2019

Links

Table of n, a(n) for n=0..7.

factordb.com query on 14^256+1.

Formula

a(n) = A001222(A152587(n)).

Example

b(n) = 14^(2^n) + 1
Complete factorizations:
b(0) = 3*5
b(1) = 197
b(2) = 41*937
b(3) = 17*5393*16097
b(4) = 193*11284732320255809
b(5) = 7489*1204905857*1667461121*315256811699009
b(6) = 8633886977*P64
b(7) = 257*100497382788383295179961898289105815085380571534081*P95

Prog

(PARI) a(n) = bigomega(14^(2^n)+1)

Crossrefs

Cf. A275377, A275378, A275379, A275380, A275381, A275382, A275383, A302097, A152587.

Sequence in context: A147301 A108380 A361231 * A112779 A366631 A029201

Adjacent sequences: A302095 A302096 A302097 * A302099 A302100 A302101

Keyword

nonn,hard,more

Author

Jeppe Stig Nielsen, Apr 01 2018

Status

approved