2 053 067 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
5257331292746858279	19	62.2	2016-07-08 09:11:16
2569877589090828524359	22	71.1	2021-07-13 11:57:23
18110492216658940886063377	26	83.9	2009-10-23 20:01:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	193 / 640

Estimated T-Level: 26.5 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jim Howell	32A06DD8DE439A34	0
Verified (Factored)	1999-01-17	Nathan Gilbert	32A06DD8DE439A34	857276

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	CD07F47345AE3A29	1	0	1	3
Verified (Factored)	2017-10-17	Oliver Kruse	353548FFB54CB39B	2	852998	5	3
Verified (Factored)	2017-11-15	ATH	353548FFB54CB39B	2	887080	5	3
Verified	2021-07-14	happy5214	353548FFB54CB39B	3	319872	5	3

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^61 to 2^62
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2021-08-28	happy5214	NF-PP1	Start=2/7, B1=2500000, B2=197500000
2021-08-28	happy5214	NF-PM1	B1=5000000, B2=530000000
2021-07-14	curtisc	CERT	PRP Certification Proof certified good
2021-07-14	happy5214	C-PRP	M2053067/18110492216658940886063377/5257331292746858279/2569877589090828524359 : 353548FFB54CB39B PRP proof power = 7 PRP: Verified Proof certified good
2021-07-13	happy5214	F-ECM	Factor: 2569877589090828524359 / (ECM curve 6, B1=50000, B2=6750000, Sigma=2687613134423699)
2017-11-15	ATH	C-PRP	M2053067/18110492216658940886063377/5257331292746858279 : 353548FFB54CB39B PRP: Verified (Factored) PRP without proof (not generated)
2017-10-17	Oliver Kruse	C-PRP	M2053067/18110492216658940886063377/5257331292746858279 : 353548FFB54CB39B PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2053067/18110492216658940886063377/5257331292746858279 : CD07F47345AE3A29 PRP: Verified (Factored) PRP without proof (not generated)
2016-07-08	TJAOI	F	Factor: 5257331292746858279 / TF: 62-63
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2009-10-23	KAMCOBILL	F-ECM	Factor: 18110492216658940886063377
2009-05-24	Rob_Dee	NF-PM1	B1=20000, B2=280000
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61