22 483 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
5111555017	10	32.3	old
2001643635665143	16	50.8	2008-08-26 19:59:05
792894923901859969	18	59.5	2008-08-29 02:24:43
4420399871249609845454912713937	31	101.8	2014-10-16 23:25:33
30211765432323921119564243208294721	35	114.5	2021-11-25 16:08:19
134479102894778184197931275393237919259783	42	136.6	2023-12-25 05:32:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1326 / 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	937142C6644D70EE	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	937142C6644D70EE	4	0	1	3
Verified (Factored)	2017-12-07	ATH	937142C6644D70EE	4	5291	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	ED27ECDCDF064B28	4	16430	5	3
Verified (Factored)	2021-11-25	SRJ2877	ED27ECDCDF064B28	5	8809	5	3
Verified	2023-12-25	Anton Tsvetkov	ED27ECDCDF064B28	6	12557	5	3

P-1 factors

Date	Factor	B1	B2
2023-12-25	134479102894778184197931275393237919259783	12000000000	3612207426077250

History

Date	User	Type	Result
2023-12-25	Anton Tsvetkov	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937/30211765432323921119564243208294721/134479102894778184197931275393237919259783 : ED27ECDCDF064B28 PRP: Verified PRP without proof (small exponent)
2023-12-25	nordi	F-PM1	Factor: 134479102894778184197931275393237919259783 / (P-1, B1=12000000000, B2=3612207426077250)
2023-04-16	nordi	NF-PM1	B1=12000000000
2021-11-25	SRJ2877	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937/30211765432323921119564243208294721 : ED27ECDCDF064B28 PRP: Verified PRP without proof (small exponent)
2021-11-25	nordi	F-ECM	Factor: 30211765432323921119564243208294721 / (ECM curve 215, B1=3000000, B2=321000000, Sigma=140156613081726)
2020-04-17	Oliver Kruse	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937 : ED27ECDCDF064B28 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937 : 937142C6644D70EE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937 : 937142C6644D70EE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22483/5111555017/2001643635665143/792894923901859969/4420399871249609845454912713937 : 937142C6644D70EE PRP without proof (not generated)
2016-11-22	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2014-10-16	James Hintz	F-ECM	Factor: 4420399871249609845454912713937 / (ECM curve 98, B1=250000, B2=25000000)
2008-08-29	-Anonymous-	F-ECM	Factor: 792894923901859969
2008-08-26	-Anonymous-	F-PM1	Factor: 2001643635665143