194 647 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
77858801	8	26.2	old
817517401	9	29.6	2008-07-27 10:50:04
179087388808806791	18	57.3	2014-07-28 14:54:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	169 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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	29BD525BC7FD0577	3	0	1	3
Verified	2017-09-22	Oliver Kruse	29BD525BC7FD0577	3	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	29BD525BC7FD0577	3	44148	1	3
Verified	2020-04-17	Oliver Kruse	30754C419D1282CC	3	137292	5	3
Verified	2023-08-24	USAFSS	30754C419D1282CC	3	41737	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M194647/77858801/817517401/179087388808806791 : 30754C419D1282CC PRP proof power = 5 PRP: Verified Proof certified good
2021-04-22	nordi	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M194647/77858801/817517401/179087388808806791 : 30754C419D1282CC PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M194647/77858801/817517401/179087388808806791 : 29BD525BC7FD0577 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M194647/77858801/817517401/179087388808806791 : 29BD525BC7FD0577 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M194647/77858801/817517401/179087388808806791 : 29BD525BC7FD0577 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M194647/77858801/817517401/179087388808806791 : 29BD525BC7FD0577 PRP without proof (not generated)
2017-09-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-07-28	TJAOI	F-ECM	Factor: 179087388808806791
2008-07-27	J Feitsma	F	Factor: 817517401