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A098028 Smallest prime p such that p-2 is a product of exactly n distinct primes. +0
2
5, 17, 107, 1367, 15017, 285287, 6561557, 179444267, 3234846617, 100280245067, 3710369067407, 196649560572467, 8309321386330967, 307444891294245707, 24615215445537161447, 961380175077106319537, 78523577350789412776937 (list; graph; listen)
OFFSET

1,1

EXAMPLE

1367 is the 4-th entry in the sequence because it is followed by primes 1997, 2417, 3137, 3257, ... with the property 1367-2 = 3*5*7*13, 1997-2 = 3*5*7*19, 2417-2 = 3*5*7*23, 3137-2 = 3*5*11*19, 3257-2 = 3*5*7*31, ...

MATHEMATICA

Do[s = 3; While[ ! (Length[FactorInteger[Prime[s] - 2]] == n && Max[Last /@ FactorInteger[Prime[s] - 2]] == 1), s++ ]; Print[Prime[s]], {n, 1, 8}] (Propper)

CROSSREFS

Sequence in context: A034821 A158007 A143562 this_sequence A100301 A096178 A084167

Adjacent sequences: A098025 A098026 A098027 this_sequence A098029 A098030 A098031

KEYWORD

nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 10 2004

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 18 2004

One more term from Ryan Propper (rpropper(AT)stanford.edu), Sep 01 2005

More terms from Don Reble (djr(AT)nk.ca), Apr 03 2006

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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