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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A129225 Residues of the Lucas - Lehmer primality test for M(29) = 536870911. 8
4, 14, 194, 37634, 342576132, 250734296, 433300702, 16341479, 49808751, 57936161, 211467447, 71320725, 91230447, 153832672, 217471443, 239636427, 223645010, 90243197, 27374393, 490737401, 35441039, 303927542, 202574536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Since a(27) > 0, M(29) = 536870911 is composite. Mersenne numbers are only prime if a(p-2) = 0.

LINKS

Dennis Martin, Table of n, a(n) for n = 1..27

Eric Weisstein's World of Mathematics, Lucas Lehmer Test.

Wikipedia, Lucas Lehmer Primality Test).

FORMULA

a(0) = 4 a(n) = a(n-1)^2 mod 2^p-1 Last term: a(p-2)

EXAMPLE

a(27)= 365171774^2 - 2 mod 536870911 = 458738443

CROSSREFS

Cf. A095847, A003010, A129219, A129220, A129221, A129222, A129223, A129224, A129226, A001348.

Sequence in context: A129222 A129223 A129224 * A129226 A003010 A118770

Adjacent sequences:  A129222 A129223 A129224 * A129226 A129227 A129228

KEYWORD

fini,nonn

AUTHOR

Sergio Pimentel, Apr 04 2007

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 8 20:44 EST 2016. Contains 278950 sequences.