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A050415
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Primes of the form 2^n-3.
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10
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5, 13, 29, 61, 509, 1021, 4093, 16381, 1048573, 4194301, 16777213, 536870909, 19807040628566084398385987581, 83076749736557242056487941267521533, 5316911983139663491615228241121378301
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| if p = 2^n-3 is in this sequence, then p*2^(n-1) is abundant with abundance 2. - Claude Morin (claude.morin4(AT)libertysurf.fr), Feb 01 2007
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..30
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FORMULA
| a(n) = 2^A050414(n) - 3
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MATHEMATICA
| lst={}; Do[p=2^n-3; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 5*5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 27 2009]
Select[Table[2^n-3, {n, 1, 400}], PrimeQ] (* Vincenzo Librandi, Dec 08 2011 *)
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PROG
| (MAGMA) [a: n in [1..200] | IsPrime(a) where a is 2^n-3]; // Vincenzo Librandi, Dec 08 2011
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CROSSREFS
| Cf. A045768, A050414.
Sequence in context: A036982 A029580 A113914 * A099970 A073857 A124698
Adjacent sequences: A050412 A050413 A050414 * A050416 A050417 A050418
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KEYWORD
| nonn,changed
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AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Dec 22 1999
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