194 687 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
87846707298564433	17	56.3	old
350308324287853241164704038137783	33	108.1	2020-06-02 19:51:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	199 / 1566

Estimated T-Level: 30.6 ⓘ

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	E58A2C610BE066B8	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E58A2C610BE066B8	1	131324	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B132D7ECC11DC214	1	7795	5	3
Verified	2020-06-03	mnd9	B132D7ECC11DC214	2	12735	5	3
Verified	2020-06-03	Oliver Kruse	B132D7ECC11DC214	2	100209	5	3
Verified	2023-08-24	USAFSS	B132D7ECC11DC214	2	141026	5	3

History

Date	User	Type	Result
2023-08-24	Khurshid Suyunov	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M194687/87846707298564433/350308324287853241164704038137783 : B132D7ECC11DC214 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-06-03	Oliver Kruse	C-PRP	M194687/87846707298564433/350308324287853241164704038137783 : B132D7ECC11DC214 PRP: Verified PRP without proof (small exponent)
2020-06-03	mnd9	C-PRP	M194687/87846707298564433/350308324287853241164704038137783 : B132D7ECC11DC214 PRP: Verified PRP without proof (small exponent)
2020-06-03	Oliver Kruse	NF-PM1	B1=200000, B2=200000000, E=12
2020-06-02	_p95holder_	F-ECM	Factor: 350308324287853241164704038137783 / (ECM curve 3, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M194687/87846707298564433 : B132D7ECC11DC214 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M194687/87846707298564433 : E58A2C610BE066B8 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M194687/87846707298564433 : E58A2C610BE066B8 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M194687/87846707298564433 : E58A2C610BE066B8 PRP without proof (not generated)
2017-09-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12