22 133 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
5783772980626453327751	22	72.3	old
2120537183633831165614199438381249417	37	120.7	2023-01-30 07:50:14
10503050826712836197499980136588252121	38	123.0	2018-06-12 21:17:00
22343583857762260804399859082303210511	38	124.1	2018-06-13 00:30:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1286 / 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	47245EDF3C1FBC6E	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	47245EDF3C1FBC6E	1	11409	1	3
Verified (Factored)	2018-06-13	Daniil Tsarkov	1EBC91A1607837B4	3	1090	5	3
Verified (Factored)	2018-06-14	Martin Russell	1EBC91A1607837B4	3	1309	5	3
Verified (Factored)	2018-06-17	Oliver Kruse	1EBC91A1607837B4	2	6604	5	3
Verified	2023-01-30	fbaur	1EBC91A1607837B4	4	5077	5	3

History

Date	User	Type	Result
2023-12-20	nordi	NF-PM1	B1=12000000000, B2=3612207426077250
2023-05-03	nordi	NF-PM1	B1=12000000000
2023-01-30	fbaur	C-PRP	M22133/5783772980626453327751/10503050826712836197499980136588252121/22343583857762260804399859082303210511/2120537183633831165614199438381249417 : 1EBC91A1607837B4 PRP: Verified PRP without proof (small exponent)
2023-01-30	fbaur	F-ECM	Factor: 2120537183633831165614199438381249417 / (ECM curve 3, B1=3000000, B2=11484000000, Sigma=5592770043368803)
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2018-06-17	Oliver Kruse	C-PRP	M22133/5783772980626453327751/10503050826712836197499980136588252121 : 1EBC91A1607837B4 PRP: Verified PRP without proof (small exponent)
2018-06-14	Martin Russell	C-PRP	M22133/5783772980626453327751/10503050826712836197499980136588252121/22343583857762260804399859082303210511 : 1EBC91A1607837B4 PRP: Verified PRP without proof (small exponent)
2018-06-13	Daniil Tsarkov	C-PRP	M22133/5783772980626453327751/10503050826712836197499980136588252121/22343583857762260804399859082303210511 : 1EBC91A1607837B4 PRP: Verified PRP without proof (small exponent)
2018-06-13	kkmrkkblmbrbk	F-ECM	Factor: 22343583857762260804399859082303210511 / (ECM curve 215, B1=1000000, B2=100000000)
2018-06-12	kkmrkkblmbrbk	F-ECM	Factor: 10503050826712836197499980136588252121 / (ECM curve 271, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M22133/5783772980626453327751 : 47245EDF3C1FBC6E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22133/5783772980626453327751 : 47245EDF3C1FBC6E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22133/5783772980626453327751 : 47245EDF3C1FBC6E PRP without proof (not generated)
2016-11-22	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12