101 341 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
1537187248608673	16	50.4	old
21633883830589081985481137	26	84.2	2016-10-30 17:22:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	271 / 1566

Estimated T-Level: 30.9 ⓘ

TF below 2^98 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	F8D9ED16B6341403	2	0	1	3
Verified	2017-09-22	Oliver Kruse	F8D9ED16B6341403	2	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	F8D9ED16B6341403	2	96600	1	3
Verified	2020-04-17	Oliver Kruse	6ADFFFF6AE0E807A	2	72316	5	3
Verified	2022-04-15	LordJulius	6ADFFFF6AE0E807A	2	13324	5	3
Verified	2022-10-27	LordJulius	6ADFFFF6AE0E807A	2	13361	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-30	21633883830589081985481137	100000000	0

History

Date	User	Type	Result
2022-10-27	LordJulius	C-PRP	M101341/1537187248608673/21633883830589081985481137 : 6ADFFFF6AE0E807A PRP: Verified PRP without proof (small exponent)
2022-04-15	LordJulius	C-PRP	M101341/1537187248608673/21633883830589081985481137 : 6ADFFFF6AE0E807A PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-22	Seth_Tr	NF-PM1	B1=1000000000, B2=6735532633830
2020-04-17	Oliver Kruse	C-PRP	M101341/1537187248608673/21633883830589081985481137 : 6ADFFFF6AE0E807A PRP: Verified PRP without proof (small exponent)
2018-11-02	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-02	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-02	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-11-06	kkmrkkblmbrbk	C-PRP	M101341/1537187248608673/21633883830589081985481137 : F8D9ED16B6341403 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M101341/1537187248608673/21633883830589081985481137 : F8D9ED16B6341403 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101341/1537187248608673/21633883830589081985481137 : F8D9ED16B6341403 PRP without proof (not generated)
2016-10-30	kkmrkkblmbrbk	F-PM1	Factor: 21633883830589081985481137 / (P-1, B1=100000000)