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:
“And shall I prime my children, pray, to pray?”
—Gwendolyn Brooks (b. 1917)
“A considerable percentage of the people we meet on the street are people who are empty inside, that is, they are actually already dead. It is fortunate for us that we do not see and do not know it. If we knew what a number of people are actually dead and what a number of these dead people govern our lives, we should go mad with horror.”
—George Gurdjieff (c. 1877–1949)
“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)