11 959 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
119591	6	16.9	old
4667534676071	13	42.1	2008-08-26 19:58:35
3780773369163149058781731249964249	34	111.5	2022-02-16 18:24:01
531452578532361493198763045257226777	36	118.7	2019-03-22 17:18:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1251 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4F9CDDB87E8C1528	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4F9CDDB87E8C1528	2	7315	1	3
Verified (Factored)	2019-03-23	ANONYMOUS	6AB2FB89F05396B3	3	8427	5	3
Verified (Factored)	2019-03-24	_p95holder_	6AB2FB89F05396B3	3	9336	5	3
Verified	2022-02-17	mnd9	6AB2FB89F05396B3	4	11323	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	3780773369163149058781731249964249	100000000000	122192573512709696

History

Date	User	Type	Result
2023-04-06	-Anonymous-	F-PM1	Factor: 3780773369163149058781731249964249 / (P-1, B1=100000000000, B2=122192573512709700)
2022-07-17	masser	NF-PM1	B1=500000000, B2=290938964916600
2022-07-16	masser	NF-PP1	Start=137/23, B1=200000000, B2=16200000000
2022-07-16	masser	NF-PP1	Start=6/5, B1=100000000, B2=5000000000
2022-07-16	masser	NF-PP1	Start=6/5, B1=40000000, B2=1640000000
2022-07-16	masser	NF-PP1	Start=2/7, B1=20000000, B2=820000000
2022-02-17	mnd9	C-PRP	M11959/119591/4667534676071/3780773369163149058781731249964249/531452578532361493198763045257226777 : 6AB2FB89F05396B3 PRP: Verified PRP without proof (small exponent)
2022-02-16	James Hintz	F-ECM	Factor: 3780773369163149058781731249964249 / (ECM curve 108, B1=3000000, B2=300000000, Sigma=2858006014911333)
2019-03-24	_p95holder_	C-PRP	M11959/119591/4667534676071/531452578532361493198763045257226777 : 6AB2FB89F05396B3 PRP: Verified PRP without proof (small exponent)
2019-03-23	ANONYMOUS	C-PRP	M11959/119591/4667534676071/531452578532361493198763045257226777 : 6AB2FB89F05396B3 PRP: Verified PRP without proof (small exponent)
2019-03-22	Niels_Mache_Nextcloud	F-ECM	Factor: 531452578532361493198763045257226777 / (ECM curve 2, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M11959/119591/4667534676071 : 4F9CDDB87E8C1528 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11959/119591/4667534676071 : 4F9CDDB87E8C1528 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11959/119591/4667534676071 : 4F9CDDB87E8C1528 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 4667534676071