6 329 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
26367627467345446174566335936121340946860202281	47	154.2	2016-04-18 17:34:19

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	5695 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	2A5E	0
Verified (Factored)		George Woltman	8961BC529DD6AA5E	0
Verified (Factored)		Brian J. Beesley	8961BC529DD6AA5E	0
Verified (Factored)	2015-04-11	MadPoo	8961BC529DD6AA5E	2161

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	9AFFAF7C48D97006	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	9AFFAF7C48D97006	1	0	1	3
Verified	2017-12-07	ATH	9AFFAF7C48D97006	1	827	1	3
Verified	2020-04-17	Oliver Kruse	4620931DF9B72C59	1	1370	5	3
Verified	2024-02-03	Wentao Huang	4620931DF9B72C59	1	327	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6329/26367627467345446174566335936121340946860202281 : 4620931DF9B72C59 PRP: Verified PRP without proof (small exponent)
2023-08-04	-Anonymous-	NF-PM1	B1=39000000000, B2=163105468633407300
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6329/26367627467345446174566335936121340946860202281 : 4620931DF9B72C59 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6329/26367627467345446174566335936121340946860202281 : 9AFFAF7C48D97006 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6329/26367627467345446174566335936121340946860202281 : 9AFFAF7C48D97006 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6329/known_factors : 9AFFAF7C48D97006 PRP without proof (not generated)
2016-04-18	Carsten Kossendey	F-ECM	Factor: 26367627467345446174566335936121340946860202281 / (ECM curve 542, B1=44000000, B2=4400000000)
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-08-06	Sid & Andy	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	8961BC529DD6AA5E
2012-10-11	bcp19	NF	no factor from 2^60 to 2^61
2011-05-13	Joss	NF-PM1	B1=10000000000
2010-12-22	monst	NF	no factor from 2^59 to 2^60
2010-08-10	chalsall	NF	no factor from 2^58 to 2^59