46 877 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
7669827233	10	32.8	old
13625456329	11	33.7	2008-08-26 20:05:00
18912431897	11	34.1	2008-08-26 20:05:00
1200000519492380183	19	60.1	2009-04-22 01:36:42
20277957451136247978562003567	29	94.0	2010-06-09 05:59:48
5497552786123145602032303133201	31	102.1	2019-12-06 02:38:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	740 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	B2119AE10451EC04	5	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	B2119AE10451EC04	5	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	B2119AE10451EC04	5	42504	1	3
Verified	2019-12-06	Niels_Mache_Nextcloud	2226B631F95561BB	6	31837	5	3
Verified	2019-12-10	Christoph Zenger	2226B631F95561BB	6	42692	5	3
Verified	2019-12-10	kracker	2226B631F95561BB	6	665	5	3

History

Date	User	Type	Result
2023-05-13	JacobZ	NF-PM1	B1=760000000, B2=537271789304250
2021-04-15	Seth_Tr	NF-PM1	B1=650000000, B2=130650000000
2021-03-22	Conductor	F-ECM	Factor: 18912431897 / (ECM curve 1, B1=1000000, B2=100000000, Sigma=4605851215461426)
2019-12-10	kracker	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567/5497552786123145602032303133201 : 2226B631F95561BB PRP: Verified PRP without proof (small exponent)
2019-12-10	Christoph Zenger	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567/5497552786123145602032303133201 : 2226B631F95561BB PRP: Verified PRP without proof (small exponent)
2019-12-06	Niels_Mache_Nextcloud	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567/5497552786123145602032303133201 : 2226B631F95561BB PRP: Verified PRP without proof (small exponent)
2019-12-06	Niels_Mache_Nextcloud	F-ECM	Factor: 5497552786123145602032303133201 / (ECM curve 2, B1=1000000, B2=100000000, Sigma=7198055599131720)
2017-11-06	kkmrkkblmbrbk	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567 : B2119AE10451EC04 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567 : B2119AE10451EC04 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M46877/7669827233/13625456329/18912431897/1200000519492380183/20277957451136247978562003567 : B2119AE10451EC04 PRP without proof (not generated)
2016-09-26	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2010-06-09	James Hintz	F-ECM	Factor: 20277957451136247978562003567
2009-04-22	Matthias Wurtinger	F-ECM	Factor: 1200000519492380183
2008-08-26	-Anonymous-	F	Factor: 18912431897
2008-08-26	-Anonymous-	F	Factor: 13625456329