A227991 Highest power of 3 dividing prime(n)+1.
3, 1, 3, 1, 3, 1, 9, 1, 3, 3, 1, 1, 3, 1, 3, 27, 3, 1, 1, 9, 1, 1, 3, 9, 1, 3, 1, 27, 1, 3, 1, 3, 3, 1, 3, 1, 1, 1, 3, 3, 9, 1, 3, 1, 9, 1, 1, 1, 3, 1, 9, 3, 1, 9, 3, 3, 27, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 1, 3, 1, 3, 9, 1, 1, 1, 3, 3, 1, 3, 1, 3, 1, 27, 1, 1, 3, 9
Offset: 1
Keywords
Links
- Bruno Berselli, Table of n, a(n) for n = 1..1000
Crossrefs
Programs
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Magma
[3^Valuation(NthPrime(n)+1, 3): n in [1..100]];
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Mathematica
Table[3^IntegerExponent[Prime[n] + 1, 3], {n, 100}] -
PARI
forprime(p=2, 700, print1(3^valuation(p+1, 3), ", "));
Formula
a(n) = 3^A227990(n).