11 027 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
288363872191768892050551279270150054945736765655279	51	167.6	2017-04-15 18:04:57

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	3549 / 16550

Estimated T-Level: 46.1 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	1014	0
Verified (Factored)		George Woltman	CA0430863E019014	0
Verified (Factored)		Brian J. Beesley	CA0430863E019014	0
Verified (Factored)	2015-04-11	MadPoo	CA0430863E019014	2768

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	AEB7E856FE320B5A	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	AEB7E856FE320B5A	1	0	1	3
Verified	2017-12-07	ATH	AEB7E856FE320B5A	1	2994	1	3
Verified	2020-04-17	Oliver Kruse	A64F858E04131F42	1	6359	5	3
Verified	2024-07-01	kkmrkkblmbrbk	A64F858E04131F42	1	2431	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M11027/288363872191768892050551279270150054945736765655279 : A64F858E04131F42 PRP: Verified PRP without proof (small exponent)
2022-12-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11027/288363872191768892050551279270150054945736765655279 : A64F858E04131F42 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M11027/288363872191768892050551279270150054945736765655279 : AEB7E856FE320B5A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11027/288363872191768892050551279270150054945736765655279 : AEB7E856FE320B5A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11027/known_factors : AEB7E856FE320B5A PRP without proof (not generated)
2017-04-15	Sid & Andy	F-ECM	Factor: 288363872191768892050551279270150054945736765655279 / (ECM curve 19, B1=44000000, B2=4400000000)
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-11-14	snme2pm1	NF	no factor from 2^62 to 2^63
2015-07-16	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	CA0430863E019014
2012-12-31	bcp19	NF-PM1	B1=10000000000, B2=100000000000, E=12
2012-11-08	bcp19	NF	no factor from 2^60 to 2^61
2010-07-20	George Woltman	NF	no factor from 2^59 to 2^60
2010-07-20	George Woltman	NF	no factor from 2^58 to 2^59
2010-05-17	James Hintz	NF-PM1	B1=2000000000, B2=50000000000, E=12