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A069464
Number of distinct prime factors of prime(n)^n+1.
2
1, 2, 3, 2, 3, 4, 3, 3, 6, 4, 3, 4, 6, 7, 6, 3, 4, 9, 4, 7, 9, 6, 7, 7, 7, 5, 10, 5, 8, 11, 7, 5, 11, 8, 11, 11, 6, 6, 10, 8, 9, 9, 4, 7, 16, 4, 7, 10, 9, 6, 14, 7, 4, 11, 13, 9, 11, 9, 3, 8, 9, 7, 18, 6, 17, 14, 5, 7, 12, 14, 8, 15, 6, 13, 18, 8, 18, 14, 5, 10, 15, 9
OFFSET
1,2
FORMULA
a(n) = A001221(A062006(n)).
EXAMPLE
A000040(10)^10+1 = 29^10+1 = 420707233300202 = 2*421*1061*470925821, therefore a(10) = 4 and A069465(10) = 4.
MATHEMATICA
Table[PrimeNu[Prime[n]^n + 1], {n, 1, 50}] (* G. C. Greubel, May 08 2017 *)
PROG
(PARI) a(n) = omega(prime(n)^n+1); \\ Michel Marcus, Feb 17 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Mar 24 2002
EXTENSIONS
More terms from Hugo Pfoertner, May 21 2004
a(36) corrected and a(46)-a(82) added using factordb.com by Amiram Eldar, Feb 17 2020
STATUS
approved