13 049 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
104393	6	16.7	old
182687	6	17.5	2008-08-26 19:58:39
4485481856573567	16	52.0	2008-08-29 02:24:32
970259047070351929902850218753735305976906740244041	51	169.4	2025-08-06 19:55:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1592 / 9201

Estimated T-Level: 40.9 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	AED9191DE365475E	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	AED9191DE365475E	3	10874	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	B53AF6AB3A974B79	3	6998	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B53AF6AB3A974B79	3	13040	5	3
Verified	No proof (small exponent)	2025-08-11	MarkS	B53AF6AB3A974B79	4	4786	5	3

History

Date	User	Type	Result
2025-08-11	MarkS	C-PRP	M13049/104393/182687/4485481856573567/970259047070351929902850218753735305976906740244041 : B53AF6AB3A974B79
2025-08-06	Ryan Propper	F-ECM	Factor: 970259047070351929902850218753735305976906740244041
2025-03-01	masser	NF-PP1	Start=127/53, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13049/104393/182687/4485481856573567 : B53AF6AB3A974B79
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13049/104393/182687/4485481856573567 : B53AF6AB3A974B79
2017-10-12	kkmrkkblmbrbk	C-PRP	M13049/104393/182687/4485481856573567 : AED9191DE365475E
2017-09-21	Oliver Kruse	C-PRP	M13049/104393/182687/4485481856573567 : AED9191DE365475E
2017-09-21	Oliver Kruse	C-PRP	M13049/104393/182687/4485481856573567 : AED9191DE365475E
2008-08-29	-anonymous-	F	Factor: 4485481856573567
2008-08-26	-anonymous-	F	Factor: 182687