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Search: id:A053702
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| A053702 |
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Odd prime powers p^w (w>1) such that p^w+2 is prime. |
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+0
3
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| 9, 27, 81, 125, 6561, 24389, 59049, 161051, 357911, 571787, 1442897, 4782969, 5177717, 14348907, 18191447, 30080231, 73560059, 80062991, 118370771, 127263527, 131872229, 318611987, 344472101, 440711081, 461889917, 590589719
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OFFSET
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1,1
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FORMULA
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A025475(n)+2 is prime
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EXAMPLE
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Examples: powers of 3 like 9,27,81,6561,59049; powers of 5 like 125; others like 23^3=24389, 71^3=357911, 83^3=571787, 11^5=161051, ...
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MATHEMATICA
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Table[Do[s=2+Prime[w]^n; If[PrimeQ[s]&&!Greater[s, 10000000000], Print[s]], {n, 2, 35}], {w, 1, 1000}]
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CROSSREFS
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Cf. A025475, A053704.
Sequence in context: A129957 A110205 A135415 this_sequence A036314 A036317 A053762
Adjacent sequences: A053699 A053700 A053701 this_sequence A053703 A053704 A053705
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 14 2000
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