11 087 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
6883896127	10	32.7	old
21232248047	11	34.3	2008-08-26 19:58:34
700036655219605251343	21	69.2	2008-08-29 02:24:27

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	2460 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D6026E72D722C188	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D6026E72D722C188	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D6026E72D722C188	3	4266	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	93711EA3328BDA45	3	3128	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	93711EA3328BDA45	3	8560	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=89/47, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11087/21232248047/6883896127/700036655219605251343 : 93711EA3328BDA45
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11087/6883896127/21232248047/700036655219605251343 : 93711EA3328BDA45
2017-12-07	ATH	C-PRP	M11087/6883896127/21232248047/700036655219605251343 : D6026E72D722C188
2017-10-02	kkmrkkblmbrbk	C-PRP	M11087/6883896127/21232248047/700036655219605251343 : D6026E72D722C188
2017-09-21	Oliver Kruse	C-PRP	M11087/6883896127/21232248047/700036655219605251343 : D6026E72D722C188
2017-09-21	Oliver Kruse	C-PRP	M11087/6883896127/21232248047/700036655219605251343 : D6026E72D722C188
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 700036655219605251343
2008-08-26	-anonymous-	F	Factor: 21232248047