4 643 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
27596389885210603211826035351	29	94.5	old
106720068005259086872675409722071325407069217	45	146.3	2014-03-26 14:08:18

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	16550 / 16550
55	110000000	15644 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	4B3D9068EF0C6BCE	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4B3D9068EF0C6BCE	2	0	1	3
Verified	2017-12-07	ATH	4B3D9068EF0C6BCE	2	139	1	3
Verified	2020-04-17	Oliver Kruse	53ED70F51F754B92	2	3034	5	3
Verified	2024-02-03	Wentao Huang	53ED70F51F754B92	2	3841	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4643/27596389885210603211826035351/106720068005259086872675409722071325407069217 : 53ED70F51F754B92 PRP: Verified PRP without proof (small exponent)
2023-05-26	-Anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4643/27596389885210603211826035351/106720068005259086872675409722071325407069217 : 53ED70F51F754B92 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4643/27596389885210603211826035351/106720068005259086872675409722071325407069217 : 4B3D9068EF0C6BCE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4643/27596389885210603211826035351/106720068005259086872675409722071325407069217 : 4B3D9068EF0C6BCE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4643/known_factors : 4B3D9068EF0C6BCE PRP without proof (not generated)
2014-03-26	Matthias Wurtinger	F-ECM	Factor: 106720068005259086872675409722071325407069217