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A057939 Number of prime factors of 5^n + 1 (counted with multiplicity). 15

%I #31 Jan 03 2024 23:50:16

%S 2,2,4,2,3,3,4,3,6,4,5,3,4,3,7,3,4,5,5,4,10,4,4,4,5,5,10,3,4,7,5,4,9,

%T 6,7,6,5,4,8,5,6,6,6,3,10,3,5,5,7,7,10,5,5,6,7,7,9,3,6,6,6,4,16,4,8,7,

%U 3,7,9,7,5,6,5,5,13,5,9,10,6,6,14,6,5,7,9,5,9,7,5,12,8,4,10,6,9,7,7,7,12

%N Number of prime factors of 5^n + 1 (counted with multiplicity).

%H Max Alekseyev, <a href="/A057939/b057939.txt">Table of n, a(n) for n = 1..471</a> (first 451 terms from Amiram Eldar)

%H S. S. Wagstaff, Jr., <a href="http://www.cerias.purdue.edu/homes/ssw/cun/index.html">The Cunningham Project</a>

%F a(n) = A057956(2n) - A057956(n). - _T. D. Noe_, Jun 19 2003

%F a(n) = A001222(A034474(n)). - _Amiram Eldar_, Feb 01 2020

%t PrimeOmega[5^Range[100]+1] (* _Harvey P. Dale_, Nov 27 2013 *)

%Y bigomega(b^n+1): A057934 (b=10), A057935 (b=9), A057936 (b=8), A057937 (b=7), A057938 (b=6), this sequence (b=5), A057940 (b=4), A057941 (b=3), A054992 (b=2).

%Y Cf. A001222, A034474, A057956, A074478.

%K nonn

%O 1,1

%A _Patrick De Geest_, Oct 15 2000

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Last modified April 19 03:30 EDT 2024. Contains 371782 sequences. (Running on oeis4.)