11 273 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
608743	6	19.2	old
27979497777503	14	44.7	2008-08-26 19:58:34
673811435604254136831730089689	30	99.1	2008-10-16 23:57:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2894 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	A09BFB8B827F2D78	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A09BFB8B827F2D78	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A09BFB8B827F2D78	3	8194	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5E8A759DE79F1B16	3	7377	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5E8A759DE79F1B16	3	3737	5	3

History

Date	User	Type	Result
2025-02-20	masser	NF-PP1	Start=152/19, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11273/27979497777503/608743/673811435604254136831730089689 : 5E8A759DE79F1B16
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11273/608743/27979497777503/673811435604254136831730089689 : 5E8A759DE79F1B16
2017-12-07	ATH	C-PRP	M11273/608743/27979497777503/673811435604254136831730089689 : A09BFB8B827F2D78
2017-10-02	kkmrkkblmbrbk	C-PRP	M11273/608743/27979497777503/673811435604254136831730089689 : A09BFB8B827F2D78
2017-09-21	Oliver Kruse	C-PRP	M11273/608743/27979497777503/673811435604254136831730089689 : A09BFB8B827F2D78
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 673811435604254136831730089689
2008-08-26	-anonymous-	F	Factor: 27979497777503