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A079592 Primes for which floor(pi*x) is prime. +0
1
17, 19, 31, 61, 71, 73, 101, 229, 241, 311, 313, 331, 373, 401, 499, 541, 569, 797, 821, 863, 881, 911, 919, 967, 1009, 1051, 1093, 1217, 1249, 1289, 1303, 1427, 1459, 1471, 1583, 1667, 1753, 1811, 1879, 1979, 2011, 2053, 2063, 2153 (list; graph; listen)
OFFSET

0,1

EXAMPLE

floor(pi*2)=6, which is not prime. floor(pi*3)=9, which is not prime. floor(pi*5)=15, which is not prime. The smallest prime x for which floor(pi*x) is prime is 17, so a(1)=17. (floor(pi*17)=53)

MATHEMATICA

For[i = 1, i < 1000, If[PrimeQ[IntegerPart[Pi*Prime[i]]] == True, Print[Prime[i]]]; i++ ]

CROSSREFS

Sequence in context: A098933 A145485 A085106 this_sequence A160027 A144213 A144214

Adjacent sequences: A079589 A079590 A079591 this_sequence A079593 A079594 A079595

KEYWORD

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Jan 27 2003

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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