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A088275 Numbers n such that 10^n + 9 is prime. 23
1, 2, 3, 4, 9, 18, 22, 45, 49, 56, 69, 146, 202, 272, 2730, 2841, 4562, 31810, 43186, 48109, 92691 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

No others less than 9000. - Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005

No others less than 39254. - Dirk Augustin, Oct 24 2006

2730, 2841 and 4562 all give primes. - Joao da Silva (zxawyh66(AT)yahoo.com), Sep 30 2005

Verified existing terms. No other terms less than 40001. [From Robert Price (pamandbobprice(AT)yahoo.com), Aug 14 2010]

No other terms <=100,000. - [From Robert Price (pamandbobprice(AT)yahoo.com), March 3 2011]

LINKS

Makoto Kamada, Factorizations of 100...009.

Sabin Tabirca and Kieran Reynolds, Lacunary Prime Numbers.

Index entries for primes involving repunits.

EXAMPLE

4 is a member since 10^4 + 9 = 10009 is a prime.

MATHEMATICA

Do[ If[ PrimeQ[ 10^n + 9], Print[n]], {n, 0, 10000}] (from Robert G. Wilson v Dec 16 2004)

CROSSREFS

Cf. A049054, A088274.

Sequence in context: A119721 A098969 A145027 * A014281 A086865 A192988

Adjacent sequences:  A088272 A088273 A088274 * A088276 A088277 A088278

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 28 2003

EXTENSIONS

a(8)-a(16) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 10 2003

a(17) from Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005

a(18) (a PRP) found by Dirk Augustin, Oct 16 2006

Two more terms (probable primes), found with WinPFGW. No others less than 60400. - Jason Earls (zevi_35711(AT)yahoo.com), Dec 22 2007

a(21)=92691 from Robert Price (pamandbobprice(AT)yahoo.com), Mar 03 2011

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Last modified February 13 05:39 EST 2012. Contains 205436 sequences.