]> 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 $k 2^{n} + 1$ and $b^{2^{n}} + 1$ .

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	$553602^{32768} + 1$	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	$704930^{16384} + 1$	95817	38	Generalized Fermat	PIII-667 running Proth.exe 6.1 under Windows 2000
2000-09-02	$21 \times 2^{191337} + 1$	57600	97	Proth	Celeron 433 running Proth.exe 5.4 under Windows 2000
1999-09-23	$79 \times 2^{121822} + 1$	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.