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Revision History for A079595 (Underlined text is an addition; strikethrough text is a deletion.)

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A079595 Primes of the form floor(x^Pi) where x is prime.
(history; published version)
#10 by Harvey P. Dale at Mon Aug 02 18:52:30 EDT 2021
STATUS

editing

approved

#9 by Harvey P. Dale at Mon Aug 02 18:52:28 EDT 2021
MATHEMATICA

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

STATUS

approved

editing

#8 by Susanna Cuyler at Sun Apr 11 16:13:55 EDT 2021
STATUS

proposed

approved

#7 by Jon E. Schoenfield at Sun Apr 11 15:22:54 EDT 2021
STATUS

editing

proposed

#6 by Jon E. Schoenfield at Sun Apr 11 15:22:42 EDT 2021
NAME

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

EXAMPLE

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

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 14:39:53 EDT 2012
AUTHOR

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

Discussion
Sat Mar 31 14:39
OEIS Server: https://oeis.org/edit/global/939
#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008
OFFSET

01,1

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
KEYWORD

nonn,new

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.demon.co.ukorg), Jan 27 2003

#2 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004
KEYWORD

nonn,new

nonn

AUTHOR

Neil N. Fernandez (primeness(AT)borve.demon.co.uk), Jan 27 2003

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003
NAME

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

DATA

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

OFFSET

0,1

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++ ]

CROSSREFS

Cf. A074218.

KEYWORD

nonn

AUTHOR

Neil Fernandez (primeness(AT)borve.demon.co.uk), Jan 27 2003

STATUS

approved

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Last modified August 29 23:34 EDT 2024. Contains 375520 sequences. (Running on oeis4.)