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
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