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Search: id:A137472
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| A137472 |
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Prime numbers n such that n^3 +- (n+1) are primes. |
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1
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| 2, 3, 29, 41, 71, 191, 239, 701, 2309, 2531, 4229, 5261, 6491, 6971, 8009, 10559, 11279, 11393, 11789, 12203, 12329, 14519, 17021, 18041, 18719, 20369, 23561, 23633, 28499, 33329, 34499, 37409, 38453, 41051, 41843, 42359, 44159
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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2^3 +- 3 -> ( 5,11) Primes,
3^3 +- 4 -> (23,31) Primes
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MAPLE
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a:=proc(n): if isprime(ithprime(n)^3+ithprime(n)+1)=true and isprime(ithprime(n)^3-ithprime(n)-1)=true then ithprime(n) else end if end proc: seq(a(n), n= 1..4000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2008
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MATHEMATICA
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Select[Prime[Range[900]], PrimeQ[ #^3-(#+1)]&&PrimeQ[ #^3+(#+1)]&]
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CROSSREFS
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Sequence in context: A042335 A141192 A059453 this_sequence A065932 A143882 A108657
Adjacent sequences: A137469 A137470 A137471 this_sequence A137473 A137474 A137475
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 21 2008
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com) and Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 26 2008
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