98 573 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
5322943	7	22.3	old
20906821501280875235661075551	29	94.1	2019-02-19 15:10:46
3250140508683964599797482753268115824530633	43	141.2	2022-08-31 23:33:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	343 / 1566

Estimated T-Level: 31.1 ⓘ

TF below 2^98 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	91098464304F2624	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	91098464304F2624	1	30805	1	3
Verified (Factored)	2019-02-20	artorollo	0A324F24236E5B5D	2	16093	5	3
Verified (Factored)	2019-02-20	alex	0A324F24236E5B5D	2	35595	5	3
Verified (Factored)	2019-02-21	kkmrkkblmbrbk	0A324F24236E5B5D	2	96528	5	3
Verified	2022-09-01	George Woltman	0A324F24236E5B5D	3	46431	5	3
Verified	2022-09-01	BloodIce	0A324F24236E5B5D	3	81950	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-31	3250140508683964599797482753268115824530633	1000000000	70552596864750

History

Date	User	Type	Result
2022-09-01	BloodIce	C-PRP	M98573/5322943/20906821501280875235661075551/3250140508683964599797482753268115824530633 : 0A324F24236E5B5D PRP: Verified PRP without proof (small exponent)
2022-09-01	George Woltman	C-PRP	M98573/5322943/20906821501280875235661075551/3250140508683964599797482753268115824530633 : 0A324F24236E5B5D PRP: Verified PRP without proof (small exponent)
2022-08-31	George Woltman	F-PM1	Factor: 3250140508683964599797482753268115824530633 / (P-1, B1=1000000000, B2=70552596864750)
2021-04-29	nordi	NF-PP1	Start=6/5, B1=40000000, B2=2000000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2019-02-21	kkmrkkblmbrbk	C-PRP	M98573/5322943/20906821501280875235661075551 : 0A324F24236E5B5D PRP: Verified PRP without proof (small exponent)
2019-02-20	alex	C-PRP	M98573/5322943/20906821501280875235661075551 : 0A324F24236E5B5D PRP: Verified PRP without proof (small exponent)
2019-02-20	artorollo	C-PRP	M98573/5322943/20906821501280875235661075551 : 0A324F24236E5B5D PRP: Verified PRP without proof (small exponent)
2019-02-19	Niels_Mache_Nextcloud	F-ECM	Factor: 20906821501280875235661075551 / (ECM curve 3, B1=1000000, B2=100000000)
2017-10-13	kkmrkkblmbrbk	C-PRP	M98573/5322943 : 91098464304F2624 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98573/5322943 : 91098464304F2624 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98573/5322943 : 91098464304F2624 PRP without proof (not generated)
2017-02-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12