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A048184 Primes with nontrivial omnipower group. +0
3
3, 5, 7, 11, 17, 19, 23, 47, 59, 83, 107, 163, 167, 179, 227, 251, 257, 263, 347, 359, 383, 467, 479, 487, 503, 563, 587, 719, 839, 863, 887, 983, 1019, 1187, 1283, 1307, 1319, 1367, 1439, 1459, 1487, 1523, 1619, 1823, 1907, 2027, 2039, 2063, 2099, 2207 (list; graph; listen)
OFFSET

1,1

COMMENT

k is an omnipower of odd prime p if k is an n-th power (mod p) for all 1 <= n < (p-1)/2.

Nonzero omnipowers of p form a subgroup of the multiplicative group mod p.

FORMULA

Primes of form 2p^k+1, p prime, k >= 1.

CROSSREFS

Sequence in context: A085498 A128926 A139559 this_sequence A045396 A094342 A045397

Adjacent sequences: A048181 A048182 A048183 this_sequence A048185 A048186 A048187

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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