140 831 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
281663	6	18.1	old
5180609167	10	32.3	2008-07-26 12:49:10
129689878940087959276687	24	76.8	2015-04-24 10:37:45
122099970719922388868273270468676155399	39	126.5	2017-03-17 05:57:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	191 / 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	1A9E1983EC37418A	4	0	1	3
Verified	2017-10-09	Chang Chia-Tche	1A9E1983EC37418A	4	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	1A9E1983EC37418A	4	110784	1	3
Verified	2020-04-17	Oliver Kruse	6166ECB5CF9E48C2	4	3211	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	6166ECB5CF9E48C2	1	5281	5	3
Verified	2024-02-03	Wentao Huang	6166ECB5CF9E48C2	4	84949	5	3

P-1 factors

Date	Factor	B1	B2
2017-03-17	122099970719922388868273270468676155399	100000000	2000000000

History

Date	User	Type	Result
2024-02-03	slaur	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M140831/281663/5180609167/129689878940087959276687/122099970719922388868273270468676155399 : 6166ECB5CF9E48C2 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-12	Jorge Coveiro	C-PRP	M140831/281663 : 6166ECB5CF9E48C2 PRP proof power = 5 PRP: Verified (Factored) PRP proof never uploaded
2020-04-17	Oliver Kruse	C-PRP	M140831/281663/5180609167/129689878940087959276687/122099970719922388868273270468676155399 : 6166ECB5CF9E48C2 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M140831/281663/5180609167/129689878940087959276687/122099970719922388868273270468676155399 : 1A9E1983EC37418A PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M140831/known_factors : 1A9E1983EC37418A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M140831/known_factors : 1A9E1983EC37418A PRP without proof (not generated)
2017-03-17	kkmrkkblmbrbk	F-PM1	Factor: 122099970719922388868273270468676155399 / (P-1, B1=100000000, B2=2000000000, E=12)
2015-04-24	TJAOI	F-ECM	Factor: 129689878940087959276687 / (ECM curve 80, B1=50000, B2=5000000)
2008-07-26	J Feitsma	F	Factor: 5180609167