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A125135 Triangle read by rows in which row n gives list of prime factors of p^p - 1 where p = prime(n). +0
4
3, 2, 13, 2, 2, 11, 71, 2, 3, 29, 4733, 2, 5, 15797, 1806113, 2, 2, 3, 53, 264031, 1803647, 2, 2, 2, 2, 10949, 1749233, 2699538733, 2, 3, 3, 109912203092239643840221, 2, 11, 461, 1289, 831603031789, 1920647391913 (list; graph; listen)
OFFSET

1,1

LINKS

Sam Wagstaff, Factorizations of p^p - 1 for most p < 180

EXAMPLE

Triangle begins:

3

2*13

2*2*11*71

2*3*29*4733

2*5*15797*1806113

2*2*3*53*264031*1803647

2*2*2*2^10949*1749233^2699538733

2*3*3*109912203092239643840221

2*11*461*1289*831603031789^1920647391913

2*2*7*59*16763*84449*2428577*14111459*58320973*549334763

n=4: p=7, 7^7-1 = 823542 = 2*3*29*4733 gives row 4.

PROGRAM

(MAGMA) for p in [ n : n in [1..100] | IsPrime(n) ] do "\nDoing p =", p; n := p^p -1; Factorisation(n); end for; [From John Cannon]

CROSSREFS

Cf. A088730, A125136.

Adjacent sequences: A125132 A125133 A125134 this_sequence A125136 A125137 A125138

Sequence in context: A086551 A007214 A025232 this_sequence A055456 A093922 A075555

KEYWORD

nonn,tabf

AUTHOR

njas, Jan 21 2007

page 1

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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