]> Prime Numbers

# Prime Numbers

I've been running the GIMPS prime number search program since mid-1997. I haven't found any of the huge, rare Mersenne prime numbers -- if I had you'd be reading about that instead. But on some of my machines I've been running Yves Gallot's Proth.exe program which searches for primes of specific forms, including form $k⁢2n+1$ and $b2n+1$.

This page lists a history of prime numbers I have found. You can also see my database entry from Chris Caldwell's database.

Date Prime Digits Rank* Type Comments
2001-04-26 $55360232768+1$ 188194 12 Generalized Fermat Celeron 466 running Proth.exe 6.4 under Wine in Linux; Largest prime discovered so far with Linux
2001-01-30 $70493016384+1$ 95817 38 Generalized Fermat PIII-667 running Proth.exe 6.1 under Windows 2000
2000-09-02 $21×2191337+1$ 57600 97 Proth Celeron 433 running Proth.exe 5.4 under Windows 2000
1999-09-23 $79×2121822+1$ 36674 192 Proth PII-300 running Proth.exe 5.4 under Wine in Linux

* Rank at time of discovery according to Chris Caldwell's Prime Database. This rank will not match the current rank, as larger primes are continually being discovered.