A302097 - OEIS

A302097

Number of odd prime factors (with multiplicity) of generalized Fermat number 13^(2^n) + 1.

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

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OFFSET

0,2

COMMENTS

a(8) >= 6. - Chai Wah Wu, Dec 09 2019

LINKS

EXAMPLE

b(n) = (13^(2^n) + 1)/2.

Complete factorizations:

b(0) = 7

b(1) = 5*17

b(2) = 14281

b(3) = 407865361

b(4) = 2657*441281*283763713

b(5) = 193*1601*10433*68675120456139881482562689

b(6) = 257*3230593*36713826768408543617*3215877717636198473712500018174097551256193

b(7) = 96769*2940673*P131

PROG

(PARI) a(n) = bigomega((13^(2^n)+1)/2)

CROSSREFS

KEYWORD

nonn,hard,more

AUTHOR

STATUS

approved