8 893 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5175359424350473	16	52.2	old
184158107161769757477018143	27	87.3	old
31913490713717678084148776432183	32	104.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	9517 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	6EEE83224FD989B4	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	6EEE83224FD989B4	3	0	1	3
Verified	2017-12-07	ATH	6EEE83224FD989B4	3	8730	1	3
Verified	2020-04-17	Oliver Kruse	B88034D50BAC78D7	3	3185	5	3
Verified	2024-07-01	kkmrkkblmbrbk	B88034D50BAC78D7	3	3647	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8893/184158107161769757477018143/31913490713717678084148776432183/5175359424350473 : B88034D50BAC78D7 PRP: Verified PRP without proof (small exponent)
2023-08-02	JacobZ	NF-PM1	B1=65000000000, B2=251099672798124150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8893/5175359424350473/184158107161769757477018143/31913490713717678084148776432183 : B88034D50BAC78D7 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8893/5175359424350473/184158107161769757477018143/31913490713717678084148776432183 : 6EEE83224FD989B4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8893/5175359424350473/184158107161769757477018143/31913490713717678084148776432183 : 6EEE83224FD989B4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8893/known_factors : 6EEE83224FD989B4 PRP without proof (not generated)