11 071 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2502047	7	21.3	old
3971411263	10	31.9	2008-08-26 19:58:34
308367560163853703	18	58.1	2008-08-29 02:24:27
2216735996623080857474009	25	80.9	2008-10-16 23:57:25
5929077773435978554554317838154996773462122129	46	152.1	2022-04-02 03:01:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2629 / 9201

Estimated T-Level: 41.4 ⓘ

TF below 2^133 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	9A6E86994AEAD043	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	9A6E86994AEAD043	4	0	1	3
Verified (Factored)	2017-12-07	ATH	9A6E86994AEAD043	4	5086	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BBA715B1B6447756	4	601	5	3
Verified	2022-04-02	SRJ2877	BBA715B1B6447756	5	501	5	3
Verified	2022-04-02	aperson1	BBA715B1B6447756	5	7333	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-29	2216735996623080857474009	100000000000	122192573512709696

History

Date	User	Type	Result
2022-12-29	-Anonymous-	F-PM1	Factor: 2216735996623080857474009 / (P-1, B1=100000000000, B2=122192573512709700)
2022-04-02	aperson1	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009/5929077773435978554554317838154996773462122129 : BBA715B1B6447756 PRP: Verified PRP without proof (small exponent)
2022-04-02	SRJ2877	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009/5929077773435978554554317838154996773462122129 : BBA715B1B6447756 PRP: Verified PRP without proof (small exponent)
2022-04-02	Ryan Propper	F-ECM	Factor: 5929077773435978554554317838154996773462122129 / (ECM curve 1, B1=110000000, B2=754319786236, Sigma=15040038607800229530)
2020-04-17	Oliver Kruse	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009 : BBA715B1B6447756 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009 : 9A6E86994AEAD043 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009 : 9A6E86994AEAD043 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009 : 9A6E86994AEAD043 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11071/2502047/3971411263/308367560163853703/2216735996623080857474009 : 9A6E86994AEAD043 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 2216735996623080857474009
2008-08-29	-Anonymous-	F-ECM	Factor: 308367560163853703
2008-08-26	-Anonymous-	F	Factor: 3971411263