3 914 011 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
323144693483089	15	48.2	old
30766236566024728199	20	64.7	2018-01-01 13:31:10
29255773671951137785744555287313	32	104.5	2022-05-16 19:05:03

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	F48492319AC31A32	1	0	1	3
Verified (Factored)	2017-12-29	Oliver Kruse	F48492319AC31A32	1	2290518	1	3
Verified (Factored)	2018-01-03	Chun sung soo	13939D52164B82BC	2	1863724	5	3
Verified (Factored)	2018-01-05	kkmrkkblmbrbk	13939D52164B82BC	2	1122498	5	3
Verified	2022-05-18	aperson1	13939D52164B82BC	3	3008941	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-16	29255773671951137785744555287313	500000	130364850

History

Date	User	Type	Result
2022-08-20	Joss	NF-PM1	B1=3914011, B2=434557200
2022-06-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-05-18	John Airey	CERT	PRP Certification Proof certified good
2022-05-18	aperson1	C-PRP	M3914011/323144693483089/30766236566024728199/29255773671951137785744555287313 : 13939D52164B82BC PRP proof power = 7 PRP: Verified Proof certified good
2022-05-16	Joss	F-PM1	Factor: 29255773671951137785744555287313 / (P-1, B1=500000, B2=130364850)
2022-04-17	Joss	NF-PM1	B1=200000
2022-03-16	Joss	NF	no factor from 2^67 to 2^68
2018-01-05	kkmrkkblmbrbk	C-PRP	M3914011/323144693483089/30766236566024728199 : 13939D52164B82BC PRP: Verified (Factored) PRP without proof (not generated)
2018-01-03	Chun sung soo	C-PRP	M3914011/323144693483089/30766236566024728199 : 13939D52164B82BC PRP: Verified (Factored) PRP without proof (not generated)
2018-01-01	TJAOI	F	Factor: 30766236566024728199 / TF: 64-65
2017-12-29	Oliver Kruse	C-PRP	M3914011/323144693483089 : F48492319AC31A32 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3914011/323144693483089 : F48492319AC31A32 PRP: Verified (Factored) PRP without proof (not generated)