List of 43 Known Mersenne Primes,  2p - 1

p =
2,
3,
5,
7,
13,
17,
19,
31 ( Euler, 1772),
61,
89,
107,
127 ( Lucas, 1876),
Edouard Lucas worked with Fibonacci numbers extensively in the last half of the 19th century (in fact it was Lucas who popularized the name "Fibonacci numbers"). He used properties of Fibonacci numbers to prove that the 39-digit Mersenne number 2^127 - 1 is prime.
521,
607,
1279,
2203,
2281,
3217,
4253,
4423,
9689,
9941,
11213,
19937,
21701 ( Curt Noll & Nickel, 1978),
23209,
44497,
86243 ( David Slowinski, 1982),
110503,
132049,
216091,
756839,
859433,
1257787,
1398269 (Joel Armengaud, Woltman, GIMPS, November 1996),
2976221 ( Gordon Spence, Woltman, GIMPS, August 24, 1997),
3021377 ( Roland Clarkson, Woltman, Kurowski, GIMPS, January 27, 1998, 6:43 pm PST) -- This number has 909,526 decimal digits
3021377 (Postscript Form)
6972593 Nayan Hajratwala, Woltman, Kurowski, GIMPS, June 1, 1999 -- This number has 2,098,960 decimal digits
13466917 Michael Cameron and GIMPS, November 14, 2001 -- This number has 4,053,946 decimal digits
20996011 Michael Shafer and GIMPS, November 17, 2003 -- This number has 6,320,430 decimal digits
24036583 Josh Findley and GIMPS, May 15, 2004 -- This number has 7,235,733 decimal digits
25964951 Dr. Martin Nowak, February 18, 2005 -- This number has 7,816,230 decimal digits
30402457 Curtis Cooper, Steven Boone, and GIMPS, December 15, 2005 -- This number has 9,152,052 decimal digits
BIG PRIME