login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A057175 Numbers n such that (9^n + 1)/10 is a prime. 1
3, 59, 223, 547, 773, 1009, 1823, 3803, 49223, 193247 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Repunit primes in base -9. - Paul Bourdelais (paul.bourdelais(AT)gd-ais.com)

LINKS

H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.

Eric Weisstein's World of Mathematics, Repunit

H. Lifchitz, Mersenne and Fermat primes field

MAPLE

PFGW v3.3.1 [From Paul Bourdelais (pbourdelais(AT)radiantblue.com), Feb 01 2010]

MATHEMATICA

lst={}; Do[p=(9^n+1)/10; If[PrimeQ[p], AppendTo[lst, n]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 29 2008]

CROSSREFS

Sequence in context: A107212 A002148 A200957 * A142642 A201850 A013526

Adjacent sequences:  A057172 A057173 A057174 * A057176 A057177 A057178

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2000

EXTENSIONS

a(9)=49223, a probable prime, was discovered on Oct 22 2007. Trial factored to 1E11 with Fermat base 2 primality test. - Paul Bourdelais (paul.bourdelais(AT)gd-ais.com)

a(10)=193247 is a probable prime, discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Feb 01 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 07:41 EST 2012. Contains 205998 sequences.