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A154632 Numbers p (prime) such that [(4*p^2-8*p-9)/3] is a prime. +0
1
5, 17, 23, 41, 59, 71, 89, 149, 197, 233, 239, 347, 359, 401, 419, 449, 563, 683, 761, 773, 827, 887, 971, 977, 1049, 1061, 1097, 1193, 1277, 1373, 1439, 1553, 1571, 1787, 1871, 1877, 1931, 2069, 2267, 2273, 2381, 2417, 2447, 2687, 2699, 2777, 2843, 2957 (list; graph; listen)
OFFSET

1,1

EXAMPLE

For p= 5, [(4*p^2-8*p-9)/3]=17; p=149, [(4*p^2-8*p-9)/3]=29201

MAPLE

a := proc (n) if isprime(n) = true and type((4/3)*n^2-(8/3)*n-3, integer) = true and isprime((4/3)*n^2-(8/3)*n-3) = true then n else end if end proc: seq(a(n), n = 2 .. 4000); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 20 2009]

CROSSREFS

Cf. A154616

Sequence in context: A105884 A019410 A133423 this_sequence A141275 A145043 A097434

Adjacent sequences: A154629 A154630 A154631 this_sequence A154633 A154634 A154635

KEYWORD

nonn

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 18 2009

EXTENSIONS

Extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 20 2009

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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