218 549 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
64253407	8	25.9	old
3577973642207	13	41.7	2008-07-21 09:14:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	539 / 640

Estimated T-Level: 29.2 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	9F2F401E68464AC1	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	9F2F401E68464AC1	2	189180	1	3
Verified	2020-04-17	Oliver Kruse	2DC32A683D3D6C65	2	47363	5	3
Verified	2020-06-17	Ahmed Azhad	2DC32A683D3D6C65	2	103923	5	3
Verified	2023-08-03	USAFSS	2DC32A683D3D6C65	2	206038	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M218549/64253407/3577973642207 : 2DC32A683D3D6C65 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-03	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-31	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-05-03	Dylan Delgado	NF-PM1	B1=6500000, B2=604500000
2020-06-17	Ahmed Azhad	C-PRP	M218549/64253407/3577973642207 : 2DC32A683D3D6C65 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M218549/64253407/3577973642207 : 2DC32A683D3D6C65 PRP: Verified PRP without proof (small exponent)
2020-04-06	Daniil Tsarkov	F-ECM	Factor: 64253407 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M218549/64253407/3577973642207 : 9F2F401E68464AC1 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M218549/64253407/3577973642207 : 9F2F401E68464AC1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M218549/64253407/3577973642207 : 9F2F401E68464AC1 PRP without proof (not generated)
2008-07-21	J Feitsma	F	Factor: 3577973642207