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Search: id:A076704
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| A076704 |
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Odd-digit prime powers of prime numbers. |
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+0
3
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| 9, 357911, 5177717, 5735339, 9393931, 17171515157399, 335571975137771, 7979737131773191, 13337513771953951
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Up to 10^17, there are only 9 odd-digit prime powers of prime numbers. a(1)=3^2, a(2)=71^3, a(3)=173^3, a(4)=179^3, a(5)=211^3, a(6)=25799^3, a(7)=69491^3, a(8)=199831^3 & a(9)=237151^3.
The only candidates for even-digit prime powers of prime numbers are 2^n and below 2^10000 there are only 2, 4, 8, 64 & 2048; two of which are not to prime powers.
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MATHEMATICA
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pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^17]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^17]]]}]]]; Do[ If[ Union[ OddQ[ IntegerDigits[ pp[[n]]]]] == {True}, Print[ pp[[n]]]], {n, 1, Length[pp]}]
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CROSSREFS
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Cf. A053810, A075308.
Sequence in context: A109464 A120352 A058468 this_sequence A133414 A013850 A131678
Adjacent sequences: A076701 A076702 A076703 this_sequence A076705 A076706 A076707
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 26 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 31 2002
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