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A060846
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Smallest prime > a nontrivial power of a prime.
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1
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5, 11, 11, 17, 29, 29, 37, 53, 67, 83, 127, 127, 131, 173, 251, 257, 293, 347, 367, 521, 541, 631, 733, 853, 967, 1031, 1361, 1373, 1693, 1861, 2053, 2203, 2203, 2213, 2411, 2819, 3137, 3491, 3727, 4099, 4493, 4919, 5051, 5333, 6247, 6563, 6863, 6899, 7927
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| It is conjectured that there is always a prime between any two consecutive prime powers >= 9.
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FORMULA
| a(n) = nextprime[A025475(n)] = A007918[A025475(n)] = Min{p| p>A025475(n)}
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EXAMPLE
| 78125=5^7 is followed by 78137
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CROSSREFS
| Cf. A025475, A000961, A001597, A001694, A007917, A007918, A013632, A013633, A049711, A060845.
Sequence in context: A061768 A205673 A181667 * A113002 A179618 A058197
Adjacent sequences: A060843 A060844 A060845 * A060847 A060848 A060849
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), May 03 2001
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