49 307 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
23667361	8	24.5	old
1076837781267257	16	49.9	2008-08-26 20:05:33
39371453660832247	17	55.1	2009-04-22 01:38:16
6281674681409405255278772310121	31	102.3	2016-11-28 04:30:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	591 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D50220756BBF1B16	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D50220756BBF1B16	4	0	1	3
Verified	2017-12-07	ATH	D50220756BBF1B16	4	35347	1	3
Unverified	2020-04-17	Oliver Kruse	3F974DCF64A1F7__	4	38725	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-28	6281674681409405255278772310121	100000000	3042014761758

History

Date	User	Type	Result
2023-05-08	JacobZ	NF-PM1	B1=720000000, B2=524479608402750
2023-04-16	carlos56	F-ECM	Factor: 23667361 / (ECM curve 1, B1=1000000, B2=546000000, Sigma=1986253689477180)
2020-04-17	Oliver Kruse	C-PRP	M49307/23667361/1076837781267257/39371453660832247/6281674681409405255278772310121 : 3F974DCF64A1F7__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M49307/23667361/1076837781267257/39371453660832247/6281674681409405255278772310121 : D50220756BBF1B16 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M49307/23667361/1076837781267257/39371453660832247/6281674681409405255278772310121 : D50220756BBF1B16 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M49307/known_factors : D50220756BBF1B16 PRP without proof (not generated)
2016-11-28	kkmrkkblmbrbk	F-PM1	Factor: 6281674681409405255278772310121 / (P-1, B1=100000000, B2=3042014761758)
2016-10-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-04-22	Matthias Wurtinger	F-ECM	Factor: 39371453660832247
2008-08-26	-Anonymous-	F	Factor: 1076837781267257