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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 (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 A117844

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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