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Search: id:A079594
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| A079594 |
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Primes for which floor(x^pi) is prime. |
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1
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| 3, 73, 109, 131, 277, 397, 617, 739, 857, 911, 1109, 1181, 1237, 1453, 1889, 1999, 2239, 2383, 2393, 2621, 2767, 2801, 2903, 2953, 3259, 3319, 3323, 3967, 4127, 4243, 4603, 5051, 5237, 5407, 5419, 5573, 5749, 5843, 6091, 6317, 6679
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OFFSET
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0,1
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EXAMPLE
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floor(2^pi)=8, which is not prime. floor(3^pi)=31, which is prime, so a(1)=3. The next smallest prime x for which floor(x^pi) is prime is 73, for which floor(73^pi)=714169, so a(2)=73.
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MATHEMATICA
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For[i = 1, i < 10000, If[PrimeQ[IntegerPart[Prime[i]^Pi]] == True, Print[Prime[i]]]; i++ ]
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CROSSREFS
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Sequence in context: A135866 A006270 A139888 this_sequence A089922 A041279 A054699
Adjacent sequences: A079591 A079592 A079593 this_sequence A079595 A079596 A079597
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KEYWORD
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nonn
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AUTHOR
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N. Fernandez (primeness(AT)borve.org), Jan 27 2003
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