178 397 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
22478023	8	24.4	old
44268627553489	14	45.3	2008-07-27 10:49:41
2283609166760486951831	22	71.0	2014-06-12 17:52:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	187 / 1566

Estimated T-Level: 30.6 ⓘ

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	73C9752C2100FCB0	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	73C9752C2100FCB0	3	33192	1	3
Verified	2020-04-17	Oliver Kruse	8DF2346F6B9369D8	3	89051	5	3
Verified	2024-02-03	Wentao Huang	8DF2346F6B9369D8	3	118908	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M178397/22478023/44268627553489/2283609166760486951831 : 8DF2346F6B9369D8 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M178397/22478023/44268627553489/2283609166760486951831 : 8DF2346F6B9369D8 PRP: Verified PRP without proof (small exponent)
2020-04-06	Daniil Tsarkov	F-ECM	Factor: 22478023 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M178397/22478023/44268627553489/2283609166760486951831 : 73C9752C2100FCB0 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M178397/known_factors : 73C9752C2100FCB0 PRP without proof (not generated)
2017-06-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-06-12	TJAOI	F-ECM	Factor: 2283609166760486951831
2008-07-27	J Feitsma	F	Factor: 44268627553489