3 329 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
26633	5	14.7	old
665801	6	19.3	old
1005359	7	19.9	old
26225863	8	24.6	old
91426284391067547105319	23	76.3	old
217892698920053628502570466239751512807	39	127.4	2009-03-09 12:20:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	14894 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	2B605679E86B30EE	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2B605679E86B30EE	6	0	1	3
Verified	2017-12-07	ATH	2B605679E86B30EE	6	942	1	3
Verified	2020-04-17	Oliver Kruse	BE3BF87970B7880E	6	56	5	3
Verified	2024-02-03	Wentao Huang	BE3BF87970B7880E	6	1995	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3329/26633/665801/1005359/26225863/91426284391067547105319/217892698920053628502570466239751512807 : BE3BF87970B7880E PRP: Verified PRP without proof (small exponent)
2022-04-21	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2020-04-17	Oliver Kruse	C-PRP	M3329/26633/665801/1005359/26225863/91426284391067547105319/217892698920053628502570466239751512807 : BE3BF87970B7880E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3329/26633/665801/1005359/26225863/91426284391067547105319/217892698920053628502570466239751512807 : 2B605679E86B30EE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3329/26633/665801/1005359/26225863/91426284391067547105319/217892698920053628502570466239751512807 : 2B605679E86B30EE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3329/known_factors : 2B605679E86B30EE PRP without proof (not generated)
2009-03-09	Matthias Wurtinger	F-ECM	Factor: 217892698920053628502570466239751512807