27 067 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
898604532823	12	39.7	old
72726237038951	14	46.0	2008-08-26 19:59:15
559863370256975086095817920861703	33	108.8	2018-04-27 10:21:25
15021033803699159980877285173903129	35	113.5	2018-04-26 19:20:02

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	78D7916CA0FCF6ED	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	78D7916CA0FCF6ED	2	17189	1	3
Verified (Factored)	2018-04-28	Oliver Kruse	84DE477A0BB8388F	3	17928	5	3
Verified	2018-04-29	ANONYMOUS	84DE477A0BB8388F	4	10756	5	3
Verified	2018-04-29	Oliver Kruse	84DE477A0BB8388F	4	6248	5	3

History

Date	User	Type	Result
2023-03-10	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2022-10-14	nordi	NF-PM1	B1=5000000000
2018-04-29	Oliver Kruse	C-PRP	M27067/898604532823/72726237038951/15021033803699159980877285173903129/559863370256975086095817920861703 : 84DE477A0BB8388F PRP: Verified PRP without proof (small exponent)
2018-04-29	ANONYMOUS	C-PRP	M27067/898604532823/72726237038951/559863370256975086095817920861703/15021033803699159980877285173903129 : 84DE477A0BB8388F PRP: Verified PRP without proof (small exponent)
2018-04-28	Oliver Kruse	C-PRP	M27067/898604532823/72726237038951/15021033803699159980877285173903129 : 84DE477A0BB8388F PRP: Verified PRP without proof (small exponent)
2018-04-27	nordi	F-ECM	Factor: 559863370256975086095817920861703 / (ECM curve 161, B1=3000000, B2=300000000)
2018-04-26	nordi	F-ECM	Factor: 15021033803699159980877285173903129 / (ECM curve 306, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M27067/898604532823/72726237038951 : 78D7916CA0FCF6ED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27067/898604532823/72726237038951 : 78D7916CA0FCF6ED PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27067/898604532823/72726237038951 : 78D7916CA0FCF6ED PRP without proof (not generated)
2016-12-21	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 72726237038951