98 419 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
7086169	7	22.8	old
414784119769	12	38.6	2008-08-26 20:11:54
90181192855941972029076487	26	86.2	2011-01-01 23:23:36

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	2017-09-21	Oliver Kruse	E2CE253BA662414D	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E2CE253BA662414D	3	0	1	3
Verified	2017-12-07	ATH	E2CE253BA662414D	3	76194	1	3
Verified	2020-04-17	Oliver Kruse	B355DC017980F978	3	42635	5	3
Verified	2024-02-03	Wentao Huang	B355DC017980F978	3	22262	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M98419/7086169/414784119769/90181192855941972029076487 : B355DC017980F978 PRP: Verified PRP without proof (small exponent)
2022-08-31	George Woltman	NF-PM1	B1=1000000000, B2=70552596864750
2021-04-30	nordi	NF-PP1	Start=6/5, B1=40000000, B2=2000000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2020-04-17	Oliver Kruse	C-PRP	M98419/7086169/414784119769/90181192855941972029076487 : B355DC017980F978 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M98419/7086169/414784119769/90181192855941972029076487 : E2CE253BA662414D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M98419/7086169/414784119769/90181192855941972029076487 : E2CE253BA662414D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M98419/known_factors : E2CE253BA662414D PRP without proof (not generated)
2017-02-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-01-01	Rob_Dee	F-ECM	Factor: 90181192855941972029076487
2008-08-26	-Anonymous-	F	Factor: 414784119769