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A069462 Number of prime factors of prime(n)^n-1, with multiplicity. +0
4
0, 3, 3, 8, 4, 8, 5, 11, 6, 11, 7, 16, 7, 10, 9, 15, 5, 16, 4, 19, 12, 14, 4, 24, 11, 15, 15, 19, 9, 23, 5, 22, 12, 10, 11, 26, 9, 14, 8, 22, 5, 26, 5, 22, 18, 21, 6, 30, 9, 16, 11, 24 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = A001222(A069459(n)).

LINKS

Dario Alpern, Factorization using the Elliptic Curve Method.

EXAMPLE

A000040(8)^8-1=19^8-1=16983563040=2^5*3^2*5*17*181*3833, therefore a(8)=11 and A069461(8)=6.

A000040(9)^9-1=23^9-1=1801152661462=2*7*11*19*79*7792003, therefore a(9)=6 and A069461(9)=6.

PROGRAM

(PARI) for(n=1, 52, print1(bigomega(prime(n)^n-1)", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 03 2008

CROSSREFS

Cf. A069465, A069461.

Sequence in context: A029614 A143615 A016606 this_sequence A097469 A105342 A021751

Adjacent sequences: A069459 A069460 A069461 this_sequence A069463 A069464 A069465

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 24 2002

EXTENSIONS

More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), May 21 2004

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 03 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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