6 311 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3647759	7	21.8	old
68423863	8	26.0	old
1958694583	10	30.9	old
299306170356761921	18	58.1	old
830128084230639791633	21	69.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1429 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	DB67E308D1B55C18	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	DB67E308D1B55C18	5	0	1	3
Verified	2017-12-07	ATH	DB67E308D1B55C18	5	3796	1	3
Verified	2020-04-17	Oliver Kruse	76863971821DAC58	5	539	5	3
Verified	2024-02-03	Wentao Huang	76863971821DAC58	5	4471	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58 PRP: Verified PRP without proof (small exponent)
2023-08-03	-Anonymous-	NF-PM1	B1=39000000000, B2=163113042636343800
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : 76863971821DAC58 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6311/3647759/68423863/1958694583/299306170356761921/830128084230639791633 : DB67E308D1B55C18 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6311/known_factors : DB67E308D1B55C18 PRP without proof (not generated)