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A130075 Quotients (5^p - 3^p - 2^p)/p, where p = Prime(n). 4

%I

%S 6,30,570,10830,4422630,93776970,44871187170,1003806502230,

%T 518297165370030,6422911941109705770,150213298561349961630,

%U 1966475018690546370358170,1109139879321302763891656370

%N Quotients (5^p - 3^p - 2^p)/p, where p = Prime(n).

%C p divides 5^p - 3^p - 2^p = A130072(p) for prime p. p^(k+1) divides A130072(p^k) for prime p = {2,3,5,19} = A130076(n) and all k>0. 2 divides a(n). 3 divides a(n). 5 divides a(n) for n>1. 19 divides a(n) for n>2. 19^2 divides a(n) for n = {4,6,8,11,12,14,...} = A091178(n) n-th prime is of the form 6n+1; or Prime(n) = {7,13,19,31,37,43,...} = A002476 Primes of form 6n + 1.

%F a(n) = (5^Prime[n] - 3^Prime[n] - 2^Prime[n])/Prime[n]. a(n) = A130072(Prime(n))/Prime(n).

%t Table[(5^Prime[n]-3^Prime[n]-2^Prime[n])/Prime[n],{n,1,20}]

%t (5^#-3^#-2^#)/#&/@Prime[Range[20]] (* _Harvey P. Dale_, May 02 2012 *)

%Y Cf. A130072, A130073, A130074, A130076, A091178, A002476.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, May 06 2007

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Last modified July 7 15:59 EDT 2020. Contains 335495 sequences. (Running on oeis4.)