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Search: id:A137471
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| A137471 |
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Positive numbers n such that n^3 +- (n+1) are primes. |
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1
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| 2, 3, 8, 9, 15, 18, 21, 29, 41, 48, 60, 69, 71, 104, 108, 126, 155, 168, 186, 191, 221, 239, 261, 276, 360, 366, 381, 414, 428, 429, 480, 518, 570, 630, 701, 749, 755, 825, 836, 879, 1140, 1170, 1173, 1220, 1290, 1395, 1449, 1455, 1466, 1485, 1605, 1611, 1655
(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(n^3+n+1)=true and isprime(n^3-n-1)=true then n else end if end proc: seq(a(n), n=1..1200); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2008
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MATHEMATICA
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Select[Range[900], PrimeQ[ #^3-(#+1)]&&PrimeQ[ #^3+(#+1)]&]
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CROSSREFS
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Adjacent sequences: A137468 A137469 A137470 this_sequence A137472 A137473 A137474
Sequence in context: A029787 A054462 A101471 this_sequence A051209 A093765 A104577
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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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