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A076702 Distinct-digit prime powers of prime numbers. 1
4, 8, 9, 25, 27, 32, 49, 125, 128, 169, 243, 289, 361, 529, 841, 961, 1369, 1849, 2048, 2187, 2197, 2809, 3125, 3481, 3721, 4913, 5041, 5329, 6241, 6859, 7921, 8192, 12769, 16807, 18769, 24389, 32041, 32761, 36481, 37249, 39601, 54289, 68921 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Up to 10^10, there are only 108 distinct-digit prime powers of prime numbers; the last one being 2^29 = 536870912.

LINKS

Ray Chandler, Table of n, a(n) for n = 1..108 (full sequence)

MATHEMATICA

pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^10]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^10]]]}]]]; a = {}; Do[ d = IntegerDigits[ pp[[n]]]; If[ Length[d] == Length[ Union[d]], a = Append[a, pp[[n]]]], {n, 1, 9965}]; a

CROSSREFS

Cf. A053810, A075308.

Sequence in context: A051676 A114129 A053810 * A051761 A153326 A168363

Adjacent sequences:  A076699 A076700 A076701 * A076703 A076704 A076705

KEYWORD

nonn,base,fini,full

AUTHOR

Zak Seidov, Oct 26 2002

EXTENSIONS

Edited by Robert G. Wilson v, Oct 31 2002

STATUS

approved

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Last modified February 22 09:21 EST 2020. Contains 332133 sequences. (Running on oeis4.)