10 691 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
21383	5	14.4	old
10200069281	11	33.2	2008-08-26 19:58:32
11345203673	11	33.4	2008-08-26 19:58:32
1128228134743178177	19	60.0	2008-08-29 02:24:26

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	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	9CC488989318FF4B	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9CC488989318FF4B	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	9CC488989318FF4B	4	7737	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	623806AF605E61E7	4	3914	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	623806AF605E61E7	1	3535	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	623806AF605E61E7	4	8815	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=199/29, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10691/10200069281/1128228134743178177/11345203673/21383 : 623806AF605E61E7
2022-12-17	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2022-05-12	Jorge Coveiro	C-PRP	M10691/21383 : 623806AF605E61E7
2020-04-17	Oliver Kruse	C-PRP	M10691/21383/10200069281/11345203673/1128228134743178177 : 623806AF605E61E7
2017-10-12	kkmrkkblmbrbk	C-PRP	M10691/21383/10200069281/11345203673/1128228134743178177 : 9CC488989318FF4B
2017-10-02	kkmrkkblmbrbk	C-PRP	M10691/21383/10200069281/11345203673/1128228134743178177 : 9CC488989318FF4B
2017-09-21	Oliver Kruse	C-PRP	M10691/21383/10200069281/11345203673/1128228134743178177 : 9CC488989318FF4B
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 1128228134743178177
2008-08-26	-anonymous-	F	Factor: 11345203673
2008-08-26	-anonymous-	F	Factor: 10200069281