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A137463 Prime numbers n such that n^3 +- (n-1) are primes. +0
1
7, 139, 631, 739, 769, 991, 1201, 1231, 2677, 3499, 3931, 4261, 4441, 4861, 6247, 7411, 7699, 8377, 9391, 10711, 10837, 14389, 15139, 15679, 16057, 16561, 18541, 20479, 22861, 28111, 28837, 29917 (list; graph; listen)
OFFSET

1,1

EXAMPLE

7^3 +- 6 -> (337,349) Primes,

139^3 +- 138 -> (2685481,2685757) Primes

MAPLE

a:=proc (n) if isprime(n)=true and isprime(n^3+n-1)=true and isprime(n^3-n+1) =true then n else end if end proc: seq(a(n), n=1..30000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2008

MATHEMATICA

Select[Prime[Range[900]], PrimeQ[ #^3-(#-1)]&&PrimeQ[ #^3+(#-1)]&]

CROSSREFS

Adjacent sequences: A137460 A137461 A137462 this_sequence A137464 A137465 A137466

Sequence in context: A120052 A142295 A056254 this_sequence A126156 A082162 A085708

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 21 2008

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2008

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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