275 053 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
26405089	8	24.7	old
82750315569569	14	46.2	2014-02-06 17:50:51
143311368521752679	18	57.0	2014-08-28 10:11:29
1250420435839875029671	22	70.1	2014-08-28 10:11:29
295322092494065593657121	24	78.0	2014-08-28 10:11:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	544 / 640

Estimated T-Level: 29.3 ⓘ

TF below 2^92 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	3911AC5E33A3F392	5	0	1	3
Verified	2017-10-13	Oliver Kruse	27D8B2AB83C5A328	5	120420	5	3
Verified	2017-10-13	Oliver Kruse	3911AC5E33A3F392	5	161527	1	3
Verified	2017-11-02	kkmrkkblmbrbk	27D8B2AB83C5A328	5	81033	5	3
Verified	2019-04-09	kkmrkkblmbrbk	3911AC5E33A3F392	5	264737	1	3

History

Date	User	Type	Result
2022-04-05	Joss	NF-PM1	B1=1000000, B2=103121878860
2022-01-03	Lisander Viaene	NF-PM1	B1=100000
2019-04-09	kkmrkkblmbrbk	C-PRP	M275053/1250420435839875029671/143311368521752679/26405089/295322092494065593657121/82750315569569 : 3911AC5E33A3F392 PRP: Verified PRP without proof (small exponent)
2017-11-02	kkmrkkblmbrbk	C-PRP	M275053/26405089/82750315569569/143311368521752679/1250420435839875029671/295322092494065593657121 : 27D8B2AB83C5A328 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M275053/26405089/82750315569569/295322092494065593657121/143311368521752679/1250420435839875029671 : 3911AC5E33A3F392 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M275053/26405089/82750315569569/295322092494065593657121/143311368521752679/1250420435839875029671 : 27D8B2AB83C5A328 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M275053/known_factors : 3911AC5E33A3F392 PRP without proof (not generated)
2014-08-28	TJAOI	F-ECM	Factor: 1250420435839875029671
2014-08-28	TJAOI	F-ECM	Factor: 143311368521752679
2014-08-28	TJAOI	F-ECM	Factor: 295322092494065593657121
2014-02-06	TJAOI	F	Factor: 82750315569569