27 751 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
45789151	8	25.4	old
4399258800137	13	42.0	2008-08-26 19:59:17
554620776611591	15	49.0	2008-08-26 19:59:17
95726878185821608708207	23	76.3	2011-03-20 14:32:29
539030029339958598598400797029041	33	108.7	2018-03-24 09:31:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	811 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4760CF42449C9455	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	4760CF42449C9455	4	0	1	3
Verified (Factored)	2017-12-07	ATH	4760CF42449C9455	4	21762	1	3
Verified	2018-03-24	ATH	A200A8F8C5457CBB	5	19000	5	3
Verified	2018-03-26	Oliver Kruse	A200A8F8C5457CBB	5	2472	5	3

History

Date	User	Type	Result
2023-03-19	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2022-10-11	nordi	NF-PM1	B1=5000000000
2018-03-26	Oliver Kruse	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207/539030029339958598598400797029041 : A200A8F8C5457CBB PRP: Verified PRP without proof (small exponent)
2018-03-24	ATH	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207/539030029339958598598400797029041 : A200A8F8C5457CBB PRP: Verified PRP without proof (small exponent)
2018-03-24	nordi	F-ECM	Factor: 539030029339958598598400797029041 / (ECM curve 118, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207 : 4760CF42449C9455 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207 : 4760CF42449C9455 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207 : 4760CF42449C9455 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27751/45789151/4399258800137/554620776611591/95726878185821608708207 : 4760CF42449C9455 PRP without proof (not generated)
2016-12-21	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2011-03-20	James Hintz	F-ECM	Factor: 95726878185821608708207
2008-08-26	-Anonymous-	F-PM1	Factor: 554620776611591
2008-08-26	-Anonymous-	F	Factor: 4399258800137