2 054 947 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
3611896138391729	16	51.7	old
59186464360502623	17	55.7	2015-02-10 12:25:39
28763125336827358159	20	64.6	2017-11-29 15:36:56
17459476389081525499391	23	73.9	2021-10-15 17:23:42

ECM

Digits	B1	Curves
25	50000	110 / 280

Estimated T-Level: 22.0 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	968550118D7DA1B1	2	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	968550118D7DA1B1	2	512635	1	3
Verified (Factored)	2017-12-01	kkmrkkblmbrbk	B6E71FFD313DC088	3	1819605	5	3
Verified (Factored)	2017-12-01	Oliver Kruse	B6E71FFD313DC088	3	1922709	5	3
Verified	2021-10-17	_p95holder_	B6E71FFD313DC088	4	137871	5	3
Verified	2022-03-12	_p95holder_	B6E71FFD313DC088	4	1864838	5	3

History

Date	User	Type	Result
2022-03-12	Chad Steenerson	CERT	PRP Certification Proof certified good
2022-03-12	_p95holder_	C-PRP	M2054947/3611896138391729/59186464360502623/28763125336827358159/17459476389081525499391 : B6E71FFD313DC088 PRP proof power = 7 PRP: Verified Proof certified good
2022-03-09	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-09	LordJulius	NF	no factor from 2^62 to 2^63
2021-10-17	_p95holder_	C-PRP	M2054947/3611896138391729/59186464360502623/28763125336827358159/17459476389081525499391 : B6E71FFD313DC088 PRP: Verified PRP without proof (not generated)
2021-10-15	_p95holder_	F-ECM	Factor: 17459476389081525499391 / (ECM curve 4, B1=50000, B2=5000000)
2017-12-01	Oliver Kruse	C-PRP	M2054947/3611896138391729/59186464360502623/28763125336827358159 : B6E71FFD313DC088 PRP: Verified PRP without proof (not generated)
2017-12-01	kkmrkkblmbrbk	C-PRP	M2054947/3611896138391729/59186464360502623/28763125336827358159 : B6E71FFD313DC088 PRP: Verified PRP without proof (not generated)
2017-11-29	TJAOI	F	Factor: 28763125336827358159 / TF: 64-65
2017-11-15	kkmrkkblmbrbk	C-PRP	M2054947/3611896138391729/59186464360502623 : 968550118D7DA1B1 PRP: Verified PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2054947/3611896138391729/59186464360502623 : 968550118D7DA1B1 PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-02-10	TJAOI	F	Factor: 59186464360502623 / TF: 55-56