10 091 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
20183	5	14.3	old
484369	6	18.9	2008-08-26 19:58:30
24374552720956384998381818767	29	94.3	2008-10-16 23:57:24
3755202004902772316183245080719161	34	111.5	2008-11-22 12:25:27

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	3215 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	434EF55706C6FBF4	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	434EF55706C6FBF4	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	434EF55706C6FBF4	4	3739	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3900DE738004DC33	4	2989	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	3900DE738004DC33	1	1402	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3900DE738004DC33	4	7537	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10091/20183/24374552720956384998381818767/3755202004902772316183245080719161/484369 : 3900DE738004DC33
2022-05-12	Jorge Coveiro	C-PRP	M10091/20183 : 3900DE738004DC33
2022-04-30	-anonymous-	NF-PM1	B1=1000000000000, B2=1400200691488448850
2022-02-05	-anonymous-	NF-PM1	B1=100000000000, B2=120002346399695760
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2021-04-22	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M10091/20183/484369/24374552720956384998381818767/3755202004902772316183245080719161 : 3900DE738004DC33
2017-10-12	kkmrkkblmbrbk	C-PRP	M10091/20183/484369/24374552720956384998381818767/3755202004902772316183245080719161 : 434EF55706C6FBF4
2017-10-02	kkmrkkblmbrbk	C-PRP	M10091/20183/484369/24374552720956384998381818767/3755202004902772316183245080719161 : 434EF55706C6FBF4
2017-09-21	Oliver Kruse	C-PRP	M10091/known_factors : 434EF55706C6FBF4
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-11-22	-anonymous-	F-ECM	Factor: 3755202004902772316183245080719161
2008-10-16	-anonymous-	F-ECM	Factor: 24374552720956384998381818767
2008-08-26	-anonymous-	F	Factor: 484369