212 557 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
13769468376224783	17	53.6	old
4550117868689862015372775241	28	91.9	2021-01-23 14:50:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	216 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	D0E9411F070E2EA2	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D0E9411F070E2EA2	1	33011	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2BA4E5E55C9C7498	1	127464	5	3
Verified	2021-01-23	mnd9	2BA4E5E55C9C7498	2	170559	5	3
Verified	2021-01-23	mrh	2BA4E5E55C9C7498	2	126458	5	3
Verified	2023-08-03	USAFSS	2BA4E5E55C9C7498	2	170942	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M212557/13769468376224783/4550117868689862015372775241 : 2BA4E5E55C9C7498 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-21	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-20	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-03-26	Ben Delo	CERT	PRP Certification Proof certified good
2021-01-24	ky0uraku	CERT	PRP Certification Proof certified good
2021-01-23	mrh	C-PRP	M212557/13769468376224783/4550117868689862015372775241 : 2BA4E5E55C9C7498 PRP proof power = 5 PRP: Verified Proof certified good
2021-01-23	mnd9	C-PRP	M212557/13769468376224783/4550117868689862015372775241 : 2BA4E5E55C9C7498 PRP proof power = 5 PRP: Verified Proof certified good
2021-01-23	_p95holder_	F-ECM	Factor: 4550117868689862015372775241 / (ECM curve 6, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M212557/13769468376224783 : 2BA4E5E55C9C7498 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M212557/13769468376224783 : D0E9411F070E2EA2 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M212557/13769468376224783 : D0E9411F070E2EA2 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M212557/13769468376224783 : D0E9411F070E2EA2 PRP without proof (not generated)