172 877 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
58441761359	11	35.8	old
10465513035673	14	43.3	2008-07-27 10:49:32
34348114120213081	17	54.9	2008-08-26 20:12:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	212 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 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	D90011D81FFBB8AC	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D90011D81FFBB8AC	3	83920	1	3
Verified	2020-04-17	Oliver Kruse	A844CC776CA8F1F6	3	111355	5	3
Verified	2024-02-03	Wentao Huang	A844CC776CA8F1F6	3	7669	5	3

History

Date	User	Type	Result
2025-09-16	masser	NF-PM1	B1=230000000, B2=24136924541730
2024-02-03	slaur	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M172877/58441761359/10465513035673/34348114120213081 : A844CC776CA8F1F6 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M172877/58441761359/10465513035673/34348114120213081 : A844CC776CA8F1F6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M172877/58441761359/10465513035673/34348114120213081 : D90011D81FFBB8AC PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M172877/known_factors : D90011D81FFBB8AC PRP without proof (not generated)
2017-05-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 34348114120213081
2008-07-27	J Feitsma	F	Factor: 10465513035673