A074218 -id:A074218

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A079595

Primes of the form floor(x^Pi) where x is prime.

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31, 714169, 2516309, 4483363, 47127727, 145996069, 583363661, 1028282141, 1637687383, 1984271941, 3680735213, 4484951059, 5187593417, 8601029209, 19614906869, 23431992781, 33458412373, 40695658637, 41234578433

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

The smallest prime x for which floor(x^Pi) is prime, is 3, for which floor(3^Pi)=31, which is prime, so a(1)=31. The next smallest is 73, for which floor(73^Pi)=714169, so a(2)=714169.

MATHEMATICA

For[i = 1, i < 10000, If[PrimeQ[IntegerPart[Prime[i]^Pi]] == True, Print[IntegerPart[Prime[i]^Pi]]]; i++ ]

Select[Floor[Prime[Range[500]]^Pi], PrimeQ] (* Harvey P. Dale, Aug 02 2021 *)

CROSSREFS

Cf. A074218.

KEYWORD

nonn

AUTHOR

Neil Fernandez, Jan 27 2003

STATUS

approved

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