13 799 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
441569	6	18.8	old
644487041857	12	39.2	2008-08-26 19:58:41
7919200798214177	16	52.8	2008-08-29 02:24:33
102792792943897855273	21	66.5	2008-08-29 02:24:33

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	F6C72FFE5701ED0C	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F6C72FFE5701ED0C	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F6C72FFE5701ED0C	4	11249	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	59D1B73F3F7FA4A7	4	2649	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	59D1B73F3F7FA4A7	4	12182	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=149/23, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13799/102792792943897855273/441569/644487041857/7919200798214177 : 59D1B73F3F7FA4A7
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-21	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=10000000, B2=704560436580
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13799/441569/644487041857/7919200798214177/102792792943897855273 : 59D1B73F3F7FA4A7
2017-12-07	ATH	C-PRP	M13799/441569/644487041857/7919200798214177/102792792943897855273 : F6C72FFE5701ED0C
2017-10-02	kkmrkkblmbrbk	C-PRP	M13799/441569/644487041857/7919200798214177/102792792943897855273 : F6C72FFE5701ED0C
2017-09-21	Oliver Kruse	C-PRP	M13799/441569/644487041857/7919200798214177/102792792943897855273 : F6C72FFE5701ED0C
2008-08-29	-anonymous-	F-ECM	Factor: 102792792943897855273
2008-08-29	-anonymous-	F	Factor: 7919200798214177
2008-08-26	-anonymous-	F	Factor: 644487041857