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A085641 Smallest prime == 1 mod(p*q*...k) where p, q, ...k are all the distinct prime divisors of n. Or, smallest prime == 1 (mod the largest square-free divisor of n). +0
2
2, 3, 7, 3, 11, 7, 29, 3, 7, 11, 23, 7, 53, 29, 31, 3, 103, 7, 191, 11, 43, 23, 47, 7, 11, 53, 7, 29, 59, 31, 311, 3, 67, 103, 71, 7, 149, 191, 79, 11, 83, 43, 173, 23, 31, 47, 283, 7, 29, 11, 103, 53, 107, 7, 331, 29, 229, 59, 709, 31, 367, 311, 43, 3, 131, 67, 269, 103, 139 (list; graph; listen)
OFFSET

2,1

COMMENT

All the numbers having the same set of prime divisors are mapped to the same prime.

FORMULA

a(n) = A034694(A007947(n)).

CROSSREFS

Cf. A007947.

Sequence in context: A054144 A110057 A086508 this_sequence A086516 A109205 A115630

Adjacent sequences: A085638 A085639 A085640 this_sequence A085642 A085643 A085644

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy, Jason Earls (zevi_35711(AT)yahoo.com), Jul 11 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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