519 067 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
12457609	8	23.6	old
20762681	8	24.3	2008-07-21 09:20:56
292079825422057623955967	24	78.0	2016-03-11 13:49:44
2269073770295973844572028879	28	90.9	2016-10-28 12:17:57
6645698335317279732558389143176839527	37	122.3	2021-08-05 00:27:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	368D9ACB6A81537F	4	0	1	3
Verified (Factored)	2017-10-17	Oliver Kruse	FC4402A23B8A9920	4	144739	5	3
Verified (Factored)	2017-10-17	Oliver Kruse	368D9ACB6A81537F	4	140111	1	3
Verified (Factored)	2017-10-17	Oliver Kruse	368D9ACB6A81537F	4	165798	1	3
Verified (Factored)	2017-11-03	kkmrkkblmbrbk	FC4402A23B8A9920	4	380153	5	3
Verified (Factored)	2019-04-09	kkmrkkblmbrbk	368D9ACB6A81537F	4	97006	1	3
Verified	2021-08-05	ViliamF	FC4402A23B8A9920	5	33465	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-05	6645698335317279732558389143176839527	10000000	1110000000

History

Date	User	Type	Result
2021-08-06	ViliamF	NF-PM1	B1=50000000, B2=7550000000
2021-08-05	Chad Steenerson	CERT	PRP Certification Proof certified good
2021-08-05	ViliamF	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879/6645698335317279732558389143176839527 : FC4402A23B8A9920 PRP proof power = 6 PRP: Verified Proof certified good
2021-08-05	ViliamF	F-PM1	Factor: 6645698335317279732558389143176839527 / (P-1, B1=10000000, B2=1110000000)
2019-04-09	kkmrkkblmbrbk	C-PRP	M519067/12457609/20762681/2269073770295973844572028879/292079825422057623955967 : 368D9ACB6A81537F PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-03	kkmrkkblmbrbk	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879 : FC4402A23B8A9920 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-17	Oliver Kruse	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879 : 368D9ACB6A81537F PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-17	Oliver Kruse	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879 : 368D9ACB6A81537F PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-17	Oliver Kruse	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879 : FC4402A23B8A9920 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M519067/12457609/20762681/292079825422057623955967/2269073770295973844572028879 : 368D9ACB6A81537F PRP: Verified (Factored) PRP without proof (not generated)
2016-10-28	TJAOI	F-ECM	Factor: 2269073770295973844572028879 / (ECM curve 57, B1=50000, B2=5000000)
2016-03-16	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12
2016-03-11	TJAOI	F-ECM	Factor: 292079825422057623955967 / (ECM curve 80, B1=50000, B2=5000000)
2008-07-21	J Feitsma	F	Factor: 20762681