10 993 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
241847	6	17.9	old
16545855463478167	17	53.9	2008-08-29 02:24:26
7277571070621058286839007722063	31	102.5	2009-09-22 10:02:55
494087810298096561956108598967261022868151	42	138.5	2024-08-05 05:57:42

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	2456 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	4FFBF473673AEC9D	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4FFBF473673AEC9D	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	4FFBF473673AEC9D	3	6415	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	95D5001CDC2643F8	3	7096	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	95D5001CDC2643F8	3	3690	5	3
Verified	No proof (small exponent)	2024-08-05	Joey Peeps	95D5001CDC2643F8	4	5606	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=175/43, B1=640000000, B2=639360000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-08-05	Joey Peeps	C-PRP	M10993/241847/16545855463478167/7277571070621058286839007722063/494087810298096561956108598967261022868151 : 95D5001CDC2643F8
2024-08-05	Joey Peeps	F-ECM	Factor: 494087810298096561956108598967261022868151 / ECM curve 5, B1=110000000, B2=3103898247450, Edwards Sigma=3533660867983469
2024-07-01	kkmrkkblmbrbk	C-PRP	M10993/16545855463478167/241847/7277571070621058286839007722063 : 95D5001CDC2643F8
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10993/241847/16545855463478167/7277571070621058286839007722063 : 95D5001CDC2643F8
2017-10-12	kkmrkkblmbrbk	C-PRP	M10993/241847/16545855463478167/7277571070621058286839007722063 : 4FFBF473673AEC9D
2017-10-02	kkmrkkblmbrbk	C-PRP	M10993/241847/16545855463478167/7277571070621058286839007722063 : 4FFBF473673AEC9D
2017-09-21	Oliver Kruse	C-PRP	M10993/known_factors : 4FFBF473673AEC9D
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-09-22	Rob_Dee	F-ECM	Factor: 7277571070621058286839007722063
2008-08-29	-anonymous-	F	Factor: 16545855463478167