13 537 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2165921	7	21.0	old
5929207	7	22.5	2008-08-26 19:58:40
10288121	8	23.3	2008-08-26 19:58:40
11993783	8	23.5	2008-08-26 19:58:40
45013341855278298504791	23	75.3	2008-08-29 02:24:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1556 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	C1F45546FC0C9AD1	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C1F45546FC0C9AD1	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C1F45546FC0C9AD1	5	9098	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5C846D5A03B600A8	5	7608	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5C846D5A03B600A8	5	5826	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=100/53, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-27	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13537/10288121/11993783/2165921/45013341855278298504791/5929207 : 5C846D5A03B600A8
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M13537/2165921/5929207/10288121/11993783/45013341855278298504791 : 5C846D5A03B600A8
2017-12-07	ATH	C-PRP	M13537/2165921/5929207/10288121/11993783/45013341855278298504791 : C1F45546FC0C9AD1
2017-10-02	kkmrkkblmbrbk	C-PRP	M13537/2165921/5929207/10288121/11993783/45013341855278298504791 : C1F45546FC0C9AD1
2017-09-21	Oliver Kruse	C-PRP	M13537/known_factors : C1F45546FC0C9AD1
2008-08-29	-anonymous-	F-ECM	Factor: 45013341855278298504791
2008-08-26	-anonymous-	F	Factor: 11993783
2008-08-26	-anonymous-	F	Factor: 10288121
2008-08-26	-anonymous-	F	Factor: 5929207