1 367 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
10937	5	13.4	old
65617	5	16.0	old
232391	6	17.8	old
2561759	7	21.3	old
29769631481404601	17	54.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	52264 / 105362

Estimated T-Level: 57.5 ⓘ

TF below 2^186 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-27	Oliver Kruse	D3A559CFEC0C252E	5	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	D3A559CFEC0C252E	5	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D3A559CFEC0C252E	5	243	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BE091FF5B8BBBC6E	5	468	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	BE091FF5B8BBBC6E	5	90	5	3

History

Date	User	Type	Result
2021-07-20	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2021-03-27	nordi	NF-PM1	B1=1000000000000, B2=2232843418649129478
2020-12-28	Joss	NF-PM1	B1=10000000000, B2=1000000000000
2020-12-27	Joss	NF-PM1	B1=10000000000, B2=200000000000
2020-12-27	Joss	NF-PM1	B1=10000000000, B2=100000000000
2020-08-12	_p95holder_	C-PRP	M1367/10937/65617/232391/2561759/29769631481404601 : BE091FF5B8BBBC6E
2020-04-17	Oliver Kruse	C-PRP	M1367/10937/65617/232391/2561759/29769631481404601 : BE091FF5B8BBBC6E
2017-10-12	kkmrkkblmbrbk	C-PRP	M1367/10937/65617/232391/2561759/29769631481404601 : D3A559CFEC0C252E
2017-10-09	Chang Chia-Tche	C-PRP	M1367/known_factors : D3A559CFEC0C252E
2017-09-27	Oliver Kruse	C-PRP	M1367/10937/65617/232391/2561759/29769631481404601 : D3A559CFEC0C252E
2017-09-25	csaba	C-PRP	M1367/known_factors : D3A559CFEC0C252E
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2009-10-25	Carsten Kossendey	F-PM1	Factor: 12718784726902901852134613452454995801