268 819 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5663313451385473724263	22	72.3	2009-11-05 15:44:01
381537648966785629818919093313	30	98.3	2016-10-28 17:00:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	576 / 640

Estimated T-Level: 29.5 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	5F38	0
Verified (Factored)		Unknown	5F38	0
Verified (Factored)		Brian J. Beesley	DF22CC2082BCDF38	0
Verified (Factored)		Eivind Triel	DF22CC2082BCDF38	147505
Verified (Factored)	2001-11-10	Brian J. Beesley	DF22CC2082BCDF38	129621

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	CEA1541927AAFFD8	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	CEA1541927AAFFD8	2	95513	1	3
Verified	2020-04-17	Oliver Kruse	36613E32E762B56C	2	87213	5	3
Verified	2024-08-02	kkmrkkblmbrbk	36613E32E762B56C	2	267983	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-28	381537648966785629818919093313	5000000	40000000

History

Date	User	Type	Result
2024-10-22	yuriy_5-1	NF-PM1	B1=24731348, B2=6040018914930
2024-08-03	Schwa	CERT	PRP Certification Proof certified good
2024-08-02	kkmrkkblmbrbk	C-PRP	M268819/5663313451385473724263/381537648966785629818919093313 : 36613E32E762B56C PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M268819/5663313451385473724263/381537648966785629818919093313 : 36613E32E762B56C PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M268819/5663313451385473724263/381537648966785629818919093313 : CEA1541927AAFFD8 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M268819/known_factors : CEA1541927AAFFD8 PRP without proof (not generated)
2016-10-28	kkmrkkblmbrbk	F-PM1	Factor: 381537648966785629818919093313 / (P-1, B1=5000000, B2=40000000, E=12)
2009-11-05	Sturle Sunde	F-ECM	Factor: 5663313451385473724263
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59