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A227990
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3^a(n) is the highest power of 3 dividing prime(n)+1.
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2
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1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 3, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 3, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 3, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 3, 0, 0, 1, 2
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OFFSET
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1,7
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COMMENTS
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This is the 3-adic valuation of prime(n)+1.
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LINKS
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FORMULA
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MATHEMATICA
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Table[IntegerExponent[Prime[n] + 1, 3], {n, 100}]
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PROG
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(PARI) forprime(p=2, 700, print1(valuation(p+1, 3), ", "));
(Magma) [Valuation(NthPrime(n)+1, 3): n in [1..100]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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