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A060846 Smallest prime > a nontrivial power of a prime. 1
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; text; internal format)
OFFSET

1,1

COMMENTS

It is conjectured that there is always a prime between any two consecutive prime powers >= 9.

LINKS

Table of n, a(n) for n=1..49.

FORMULA

a(n) = nextprime[A025475(n)] = A007918[A025475(n)] = Min{p| p>A025475(n)}

EXAMPLE

78125=5^7 is followed by 78137

CROSSREFS

Cf. A025475, A000961, A001597, A001694, A007917, A007918, A013632, A013633, A049711, A060845.

Sequence in context: A205673 A245098 A181667 * A113002 A179618 A058197

Adjacent sequences:  A060843 A060844 A060845 * A060847 A060848 A060849

KEYWORD

nonn

AUTHOR

Labos Elemer, May 03 2001

STATUS

approved

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Last modified February 22 11:30 EST 2018. Contains 299452 sequences. (Running on oeis4.)