10 271 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
20543	5	14.3	old
1568045550713	13	40.5	2008-08-26 19:58:30

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	D7EB309239137B70	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D7EB309239137B70	2	245	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BE5B2A163F57FC16	2	1880	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	BE5B2A163F57FC16	1	4706	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	BE5B2A163F57FC16	2	2342	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=127/71, B1=640000000, B2=639360000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10271/1568045550713/20543 : BE5B2A163F57FC16
2022-10-22	-anonymous-	NF-PM1	B1=100000000000, B2=121570702234581600
2022-05-12	Jorge Coveiro	C-PRP	M10271/20543 : BE5B2A163F57FC16
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10271/20543/1568045550713 : BE5B2A163F57FC16
2017-10-12	kkmrkkblmbrbk	C-PRP	M10271/20543/1568045550713 : D7EB309239137B70
2017-09-21	Oliver Kruse	C-PRP	M10271/20543/1568045550713 : D7EB309239137B70
2017-09-21	Oliver Kruse	C-PRP	M10271/20543/1568045550713 : D7EB309239137B70
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 1568045550713