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A160518 List of pairs of twin primes of the form 2n^3 +- 1. +0
2
431, 433, 18521, 18523, 1940597, 1940599, 3455999, 3456001, 30876497, 30876499, 88723727, 88723729, 105468749, 105468751, 164625749, 164625751, 431999999, 432000001, 451733057, 451733059, 615093749, 615093751, 746495999, 746496001 (list; graph; listen)
OFFSET

1,1

COMMENT

n is always divisible by 3. For the 5 pairs listed, n=6,21,99,120 and 249 (see A151612).

EXAMPLE

6^3=216; 216x2=432; both 431 and 433 are prime.

MAPLE

isA001359 := proc(n) RETURN(isprime(n) and isprime(n+2)) ; end: for n from 1 to 1000 do twon3 := 2*n^3 ; if isA001359(twon3-1) then printf("%d, %d, ", twon3-1, twon3+1) ; fi; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 29 2009]

CROSSREFS

Sequence in context: A166537 A165058 A165062 this_sequence A046018 A142802 A003548

Adjacent sequences: A160515 A160516 A160517 this_sequence A160519 A160520 A160521

KEYWORD

nonn

AUTHOR

Howard Berman (howard_berman(AT)hotmail.com), May 16 2009

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 29 2009

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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