385 079 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
22657787835250011799	20	64.3	2009-07-08 13:15:23
31060146484166509182241	23	74.7	2015-03-13 11:16:58
219379477236740756058455663	27	87.5	2015-12-11 11:32:20

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	370 / 640

Estimated T-Level: 27.9 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	0EF	0
Verified (Factored)		Steve Costaras	6EA14940640100EF	0
Verified (Factored)		Eivind Triel	6EA14940640100EF	48867
Verified (Factored)	2002-11-02	S57483	6EA14940640100EF	159916

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	22FC41A2C1934BDE	3	0	1	3
Verified	2017-10-13	Oliver Kruse	22FC41A2C1934BDE	3	67692	1	3
Verified	2017-12-15	ATH	22FC41A2C1934BDE	3	349725	1	3
Verified	2020-04-18	Oliver Kruse	DACAF5D9EDE10517	3	209722	5	3
Verified	2024-10-03	kkmrkkblmbrbk	DACAF5D9EDE10517	3	147973	5	3

History

Date	User	Type	Result
2024-10-07	yuriy_5-1	NF-PM1	B1=12000002, B2=2110712904300
2024-10-03	Daniel	CERT	PRP Certification Proof certified good
2024-10-03	kkmrkkblmbrbk	C-PRP	M385079/22657787835250011799/31060146484166509182241/219379477236740756058455663 : DACAF5D9EDE10517 PRP proof power = 5 PRP: Verified Proof certified good
2024-02-19	Denial140	NF-PM1	B1=1000000, B2=3295669650
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-18	Oliver Kruse	C-PRP	M385079/22657787835250011799/31060146484166509182241/219379477236740756058455663 : DACAF5D9EDE10517 PRP: Verified PRP without proof (small exponent)
2017-12-15	ATH	C-PRP	M385079/22657787835250011799/31060146484166509182241/219379477236740756058455663 : 22FC41A2C1934BDE PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M385079/22657787835250011799/31060146484166509182241/219379477236740756058455663 : 22FC41A2C1934BDE PRP: Verified PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M385079/known_factors : 22FC41A2C1934BDE PRP without proof (not generated)
2015-12-11	TJAOI	F-ECM	Factor: 219379477236740756058455663 / (ECM curve 39, B1=50000, B2=5000000)
2015-03-13	TJAOI	F-ECM	Factor: 31060146484166509182241 / (ECM curve 16, B1=50000, B2=5000000)
2009-07-08	Architects Cubed	F-ECM	Factor: 22657787835250011799
2009-01-10	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-05	Sturle Sunde	NF	no factor from 2^58 to 2^59