A130075 - OEIS

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A130075

a(n) = (5^p - 3^p - 2^p)/p, where p = prime(n).

6, 30, 570, 10830, 4422630, 93776970, 44871187170, 1003806502230, 518297165370030, 6422911941109705770, 150213298561349961630, 1966475018690546370358170, 1109139879321302763891656370

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OFFSET

1,1

COMMENTS

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 in A091178(n) or prime(n) in A002476.

LINKS

Table of n, a(n) for n=1..13.

FORMULA

a(n) = (5^prime(n) - 3^prime(n) - 2^prime(n))/prime(n).

a(n) = A130072(prime(n))/prime(n).