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Search: id:A114301
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A114301 Numbers n such that 2^n+3^n+5^n+7^n is a prime number. +0
1
1, 3, 19, 1013, 4133, 9833, 30809 (list; graph; listen)
OFFSET

1,2

COMMENT

Next term, if exists is bigger than 5000.

No more terms through 10^4. - Ryan Propper (rpropper(AT)stanford.edu), Mar 24 2006

EXAMPLE

2^3+3^3+5^3+7^3 = 503 (prime), thus 3 is in the sequence.

MATHEMATICA

Do[If[PrimeQ[2^n+3^n+5^n+7^n], Print[n]], {n, 1, 5000}]

CROSSREFS

Sequence in context: A051381 A136372 A107706 this_sequence A098796 A120563 A164063

Adjacent sequences: A114298 A114299 A114300 this_sequence A114302 A114303 A114304

KEYWORD

hard,more,nonn

AUTHOR

Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 05 2006

EXTENSIONS

One more term from Ryan Propper (rpropper(AT)stanford.edu), Mar 24 2006

One more term from Joao Carlos Leandro da Silva (zxawyh66(AT)yahoo.com), Jun 01 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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