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A099440 Primes of the form A000295(n)=2^n-n-1. 3
11, 1013, 16369, 65519, 67108837, 1125899906842573, 72057594037927879, 1180591620717411303353, 83076749736557242056487941267521419 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The next term a(10)=2^2072-2073 has 624 decimal digits.

EXAMPLE

a(2)=1013 because A000295(A099439(2))=2^10-10-1 is prime.

MATHEMATICA

lst={}; s=0; Do[s+=(n+=s); If[PrimeQ[Abs[s]], AppendTo[lst, s]], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 11 2008]

CROSSREFS

Cf. A000295 2^n-n-1 (column 2 of the Eulerian numbers), A099439 2^n-n-1 is prime, A099441 2^n-n-1 is a semiprime, A099442 semiprimes in A000295.

Sequence in context: A006938 A015511 A065050 * A069710 A073903 A046187

Adjacent sequences:  A099437 A099438 A099439 * A099441 A099442 A099443

KEYWORD

nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 18 2004

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.