Seventeen or Bust - Prime Number Discoveries

Prime Number Discoveries

The Seventeen or Bust set, with data for the eleven prime numbers eliminated to date:

# k n Digits of k·2n+1 Date of discovery Found by
1 4,847 3,321,063 999,744 15 Oct 2005 Richard Hassler
2 5,359 5,054,502 1,521,561 06 Dec 2003 Randy Sundquist
3 10,223 > 17,000,000 (Search in progress)
4 19,249 13,018,586 3,918,990 26 Mar 2007 Konstantin Agafonov
5 21,181 > 17,000,000 (Search in progress)
6 22,699 > 17,000,000 (Search in progress)
7 24,737 > 17,000,000 (Search in progress)
8 27,653 9,167,433 2,759,677 08 Jun 2005 Derek Gordon
9 28,433 7,830,457 2,357,207 30 Dec 2004 Anonymous
10 33,661 7,031,232 2,116,617 13 Oct 2007 Sturle Sunde
11 44,131 995,972 299,823 06 Dec 2002 deviced (nickname)
12 46,157 698,207 210,186 26 Nov 2002 Stephen Gibson
13 54,767 1,337,287 402,569 22 Dec 2002 Peter Coels
14 55,459 > 17,000,000 (Search in progress)
15 65,567 1,013,803 305,190 03 Dec 2002 James Burt
16 67,607 > 17,000,000 (Search in progress)
17 69,109 1,157,446 348,431 07 Dec 2002 Sean DiMichele

As of December 2011 the largest of these primes, 19249·213018586+1, is the largest known prime number that is not a Mersenne prime.

Note that each of these numbers has enough digits to fill up a medium-sized novel, at least. The project is presently dividing numbers among its active users, in hope of finding a prime number in each of the six remaining sequences:

k·2n+1, for k = 10223, 21181, 22699, 24737, 55459, 67607.

Read more about this topic:  Seventeen Or Bust

Famous quotes containing the words prime, number and/or discoveries:

    In time, after a dozen years of centering their lives around the games boys play with one another, the boys’ bodies change and that changes everything else. But the memories are not erased of that safest time in the lives of men, when their prime concern was playing games with guys who just wanted to be their friendly competitors. Life never again gets so simple.
    Frank Pittman (20th century)

    After a certain number of years our faces become our biographies. We get to be responsible for our faces.
    Cynthia Ozick (b. 1928)

    However many discoveries we may have made in the land of self-love, there remain uncharted territories.
    François, Duc De La Rochefoucauld (1613–1680)