9 091 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
52049390429838735967998662784207097	35	115.3	old

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	6822 / 16550

Estimated T-Level: 47.1 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	53EDCA01879CB76D	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	53EDCA01879CB76D	1	8989	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	61312B70BFEBEAC5	1	1493	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	61312B70BFEBEAC5	1	2029	5	3

History

Date	User	Type	Result
2025-04-20	masser	NF-PP1	Start=191/59, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9091/52049390429838735967998662784207097 : 61312B70BFEBEAC5
2023-07-17	JacobZ	NF-PM1	B1=64000000000, B2=263527252205367150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9091/52049390429838735967998662784207097 : 61312B70BFEBEAC5
2017-10-12	kkmrkkblmbrbk	C-PRP	M9091/52049390429838735967998662784207097 : 53EDCA01879CB76D
2017-09-21	Oliver Kruse	C-PRP	M9091/52049390429838735967998662784207097 : 53EDCA01879CB76D
2017-09-21	Oliver Kruse	C-PRP	M9091/52049390429838735967998662784207097 : 53EDCA01879CB76D
2005-02-12	-anonymous-	F-ECM	Factor: 52049390429838735967998662784207097
2003-02-24	-anonymous-	NF-PM1	B1=4290000000
2002-12-25	-anonymous-	NF	no factor TF: 1-57
2002-11-02	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-31	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-15	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-09-16	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-23	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-17	-anonymous-	NF	no factor TF: 1-56
2000-03-01	-anonymous-	NF	no factor TF: 54-55