10 111 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
101111	6	16.6	old
7750717224391654760911	22	72.7	2008-08-29 02:24:24
321354374771051983541944289	27	88.1	2008-10-16 23:57:24

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	4845 / 16550

Estimated T-Level: 46.5 ⓘ

TF below 2^149 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	740E787C950F2258	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	740E787C950F2258	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	740E787C950F2258	3	6095	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D14C27496515CE71	3	1455	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	D14C27496515CE71	3	1339	5	3

History

Date	User	Type	Result
2025-02-20	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-03	masser	NF-PP1	Start=114/29, B1=640000000, B2=639360000000
2024-12-27	masser	NF-PP1	Start=2/7, B1=625000000, B2=624375000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10111/101111/321354374771051983541944289/7750717224391654760911 : D14C27496515CE71
2022-02-05	-anonymous-	NF-PM1	B1=100000000000, B2=120626368428886320
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10111/101111/7750717224391654760911/321354374771051983541944289 : D14C27496515CE71
2017-10-12	kkmrkkblmbrbk	C-PRP	M10111/101111/7750717224391654760911/321354374771051983541944289 : 740E787C950F2258
2017-10-02	kkmrkkblmbrbk	C-PRP	M10111/101111/7750717224391654760911/321354374771051983541944289 : 740E787C950F2258
2017-09-21	Oliver Kruse	C-PRP	M10111/known_factors : 740E787C950F2258
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 321354374771051983541944289
2008-08-29	-anonymous-	F-ECM	Factor: 7750717224391654760911