222 791 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
445583	6	18.8	old
407050472656184082154283464031	30	98.4	2020-10-22 05:10:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	563 / 640

Estimated T-Level: 29.4 ⓘ

TF below 2^93 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	B333D5593322BA6F	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	B333D5593322BA6F	1	112508	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	30756DD8D7E745CC	1	123457	5	3
Verified	2020-10-22	mnd9	30756DD8D7E745CC	2	206139	5	3
Verified	2020-10-22	tottenhoff	30756DD8D7E745CC	2	14187	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	30756DD8D7E745CC	1	125968	5	3

History

Date	User	Type	Result
2022-05-12	Jorge Coveiro	C-PRP	M222791/445583 : 30756DD8D7E745CC PRP proof power = 5 PRP: Verified (Factored) PRP proof never uploaded
2022-03-10	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-06	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-10-23	curtisc	CERT	PRP Certification Proof certified good
2020-10-22	tottenhoff	C-PRP	M222791/445583/407050472656184082154283464031 : 30756DD8D7E745CC PRP proof power = 5 PRP: Verified Proof certified good
2020-10-22	mnd9	C-PRP	M222791/445583/407050472656184082154283464031 : 30756DD8D7E745CC PRP: Verified PRP without proof (small exponent)
2020-10-22	nordi	F-ECM	Factor: 407050472656184082154283464031 / (ECM curve 2, B1=250000, B2=25000000, Sigma=2568431395959947)
2020-04-17	Oliver Kruse	C-PRP	M222791/445583 : 30756DD8D7E745CC PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M222791/445583 : B333D5593322BA6F PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M222791/445583 : B333D5593322BA6F PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M222791/445583 : B333D5593322BA6F PRP without proof (not generated)