17 827 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
135035287362274753826063908561187053011790414279	48	156.6	2023-06-16 23:47:26

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	3177 / 16550

Estimated T-Level: 46.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	13E7	0
Verified (Factored)		George Woltman	DB5D803B1F7313E7	0
Verified (Factored)		Brian J. Beesley	DB5D803B1F7313E7	0
Verified (Factored)	2015-04-11	MadPoo	DB5D803B1F7313E7	13736

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-06-17	Kevin_9611	4ABD5379173AD634	1	6180	5	3
Verified	2023-06-17	Naegi Makoto	4ABD5379173AD634	1	12275	5	3

History

Date	User	Type	Result
2023-06-17	Naegi Makoto	C-PRP	M17827/135035287362274753826063908561187053011790414279 : 4ABD5379173AD634 PRP: Verified PRP without proof (small exponent)
2023-06-17	Ryan Propper	F-ECM	Factor: 135035287362274753826063908561187053011790414279 / (ECM curve 1, B1=110000000, B2=782274029472, Sigma=2862297676599160161)
2023-06-17	Kevin_9611	C-PRP	M17827/135035287362274753826063908561187053011790414279 : 4ABD5379173AD634 PRP: Verified PRP without proof (small exponent)
2023-06-16	Ryan Propper	F-ECM	Factor: 135035287362274753826063908561187053011790414279 / (ECM curve 1, B1=110000000, B2=782274029472, Sigma=2862297676599160161)
2022-04-29	-Anonymous-	NF-PM1	B1=100000000000, B2=80107051974399450
2022-02-23	Ruslan Borisov	NF	no factor from 2^65 to 2^66
2021-05-12	ATH	NF-PP1	Start=2/7, B1=1000000000, B2=241000000000
2021-02-13	Ruslan Borisov	NF	no factor from 2^64 to 2^65
2019-05-21	alex	NF-PM1	B1=10000000000, B2=500000000000, E=12
2018-07-21	snme2pm1	NF	no factor from 2^63 to 2^64
2017-01-02	James Hintz	NF-PM1	B1=1869902031, B2=115933925922, E=12
2016-05-25	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-05-12	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	DB5D803B1F7313E7
2012-12-25	bcp19	NF	no factor from 2^60 to 2^61
2012-12-13	SRJ2877	NF-PM1	B1=3000000000
2010-06-22	anonymous	NF	no factor from 2^59 to 2^60
2010-06-22	anonymous	NF	no factor from 2^58 to 2^59