11 807 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
229966917708044743	18	57.7	old
1968448578407976788380008609041089672611863	43	140.5	2020-09-30 21:02:29

P-1 factors

Date	Factors	B1	B2
2023-03-26	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6389 / 16550

Estimated T-Level: 46.9 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	EB1722AFA931EEFF	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	EB1722AFA931EEFF	1	11049	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	3167E88EC8581B57	1	2610	5	3
Verified	No proof (small exponent)	2020-10-01	mnd9	3167E88EC8581B57	2	6310	5	3
Verified	No proof (small exponent)	2020-10-03	arnaud	3167E88EC8581B57	2	10381	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=75/53, B1=900000000, B2=899100000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=900000000, B2=899100000000
2025-02-06	masser	NF-PP1	Start=2/7, B1=900000000, B2=899100000000
2023-03-26	Anton Repko	F-PM1	Factor: 229966917708044743 / B1=100000000000, B2=122192573512709700
2020-10-03	arnaud	C-PRP	M11807/229966917708044743/1968448578407976788380008609041089672611863 : 3167E88EC8581B57
2020-10-01	mnd9	C-PRP	M11807/229966917708044743/1968448578407976788380008609041089672611863 : 3167E88EC8581B57
2020-09-30	James Hintz	F-ECM	Factor: 1968448578407976788380008609041089672611863 / ECM curve 762, B1=3000000, B2=300000000, Montgomery Sigma=5697946246725453
2020-04-17	Oliver Kruse	C-PRP	M11807/229966917708044743 : 3167E88EC8581B57
2017-10-12	kkmrkkblmbrbk	C-PRP	M11807/229966917708044743 : EB1722AFA931EEFF
2017-09-21	Oliver Kruse	C-PRP	M11807/229966917708044743 : EB1722AFA931EEFF
2017-09-21	Oliver Kruse	C-PRP	M11807/229966917708044743 : EB1722AFA931EEFF
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 229966917708044743