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:
“Faith in reason as a prime motor is no longer the criterion of the sound mind, any more than faith in the Bible is the criterion of righteous intention.”
—George Bernard Shaw (1856–1950)
“The growing good of the world is partly dependent on unhistoric acts; and that things are not so ill with you and me as they might have been, is half owing to the number who lived faithfully a hidden life, and rest in unvisited tombs.”
—George Eliot [Mary Ann (or Marian)
“The science of Humboldt is one thing, poetry is another thing. The poet to-day, notwithstanding all the discoveries of science, and the accumulated learning of mankind, enjoys no advantage over Homer.”
—Henry David Thoreau (1817–1862)