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A096345 Primes of the form p*q - p - q, where p and q are two successive primes. +0
3
7, 23, 59, 191, 839, 1439, 1931, 5039, 8447, 11447, 23399, 26891, 36479, 41579, 46619, 57119, 59999, 77279, 110879, 163199, 232307, 323759, 370871, 414731, 470579, 521267, 566999, 606791, 664199, 678971, 776159, 824459, 835379, 879839 (list; graph; listen)
OFFSET

1,1

COMMENT

These primes are not the sum of two squares.

The number of terms less than 10^n: 1, 3, 5, 9, 18, 35, 83, 190, 425, 1105, 2962, 7695, 20187, 54280, 147464, 402660, 1116912, ..., . - Robert G. Wilson v, Apr 09 2008

LINKS

R. G. Wilson v, Table of n, a(n) for n=1..7700

EXAMPLE

a(3)=59 because 7*11 - 7 - 11=59.

MATHEMATICA

lst = {}; p = q = 2; Do[p = q; q = NextPrime@q; r = p*q - p - q; If[ PrimeQ@r, AppendTo[lst, r]], {n, 2^31 - 1}]; lst {* from Robert G. Wilson v, Apr 09 2008 *}

CROSSREFS

Sequence in context: A037165 A126284 A140096 this_sequence A077037 A104149 A001275

Adjacent sequences: A096342 A096343 A096344 this_sequence A096346 A096347 A096348

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Jun 29 2004

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 01 2004

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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