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A302098 Number of prime factors (with multiplicity) of generalized Fermat number 14^(2^n) + 1. 1
2, 1, 2, 3, 2, 4, 2, 3 (list; graph; refs; listen; history; text; internal format)
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: A337879 A147301 A108380 * A112779 A029201 A071283

Adjacent sequences:  A302095 A302096 A302097 * A302099 A302100 A302101

KEYWORD

nonn,hard,more

AUTHOR

Jeppe Stig Nielsen, Apr 01 2018

STATUS

approved

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Last modified March 3 00:46 EST 2021. Contains 341756 sequences. (Running on oeis4.)