13 901 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite: 4 known prime factors

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
14206823	8	23.8	old
39030421543	11	35.2	2008-08-26 19:58:41
142991153430113	15	47.0	2008-08-26 19:58:41
29804745097596285870265850927947962553	38	124.5	2026-01-13 17:54:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1523 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	F3FE0546691BD611	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F3FE0546691BD611	3	6275	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	FF617CACAC7AD2B0	3	5524	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	FF617CACAC7AD2B0	3	2446	5	3

History

Date	User	Type	Result
2026-01-13	Ryan Propper	F-ECM	Factor: 29804745097596285870265850927947962553
2025-02-19	masser	NF-PP1	Start=131/59, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13901/14206823/142991153430113/39030421543 : FF617CACAC7AD2B0
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13901/14206823/39030421543/142991153430113 : FF617CACAC7AD2B0
2017-10-12	kkmrkkblmbrbk	C-PRP	M13901/14206823/39030421543/142991153430113 : F3FE0546691BD611
2017-09-21	Oliver Kruse	C-PRP	M13901/14206823/39030421543/142991153430113 : F3FE0546691BD611
2017-09-21	Oliver Kruse	C-PRP	M13901/14206823/39030421543/142991153430113 : F3FE0546691BD611
2008-08-26	-anonymous-	F-PM1	Factor: 142991153430113
2008-08-26	-anonymous-	F	Factor: 39030421543