220 151 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
440303	6	18.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	169 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	DF39259C31778E7D	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	DF39259C31778E7D	1	91342	1	3
Verified	2020-04-17	Oliver Kruse	49831246ACC47A8B	1	40261	5	3
Verified	2022-05-12	Jorge Coveiro	49831246ACC47A8B	1	174006	5	3
Verified	2024-12-30	kkmrkkblmbrbk	49831246ACC47A8B	1	18412	5	3

History

Date	User	Type	Result
2024-12-30	Zitong Zhang	CERT	PRP Certification Proof certified good
2024-12-30	kkmrkkblmbrbk	C-PRP	M220151/440303 : 49831246ACC47A8B PRP proof power = 5 PRP: Verified Proof certified good
2022-05-12	Jorge Coveiro	C-PRP	M220151/440303 : 49831246ACC47A8B PRP proof power = 5 PRP: Verified PRP proof never uploaded
2022-03-06	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-06	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M220151/440303 : 49831246ACC47A8B PRP: Verified PRP without proof (small exponent)
2020-04-06	Daniil Tsarkov	F-ECM	Factor: 440303 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M220151/440303 : DF39259C31778E7D PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M220151/440303 : DF39259C31778E7D PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M220151/440303 : DF39259C31778E7D PRP without proof (not generated)