31 393 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

TF

No factors below 2⁶⁶

TF target 2⁴⁴

TF below 2^147 is very unlikely to find new factors due to ECM effort.

P-1

B1 =	12000000000
B2 =	1000658212433880

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	2411 / 16550

Estimated T-Level: 45.7 ⓘ

Status	Date	User	Residue	Shift
Verified		Unknown	2853	0
Verified		George Woltman	FC270048FE222853	0
Verified		Brian J. Beesley	FC270048FE222853	0
Verified	2015-04-11	MadPoo	FC270048FE222853	21573

History

Date	User	Type	Result
2023-08-24	masser	NF-PP1	Start=6/5, B1=230000000, B2=41170000000
2023-07-06	masser	NF-PP1	Start=98/59, B1=230000000, B2=9200000000
2022-04-23	ATH	NF-PM1	B1=12000000000, B2=1000658212433880
2021-05-07	ATH	NF-PP1	Start=2/7, B1=500000000, B2=101500000000
2020-12-30	Yxinity	NF	no factor from 2^65 to 2^66
2020-12-29	Yxinity	NF	no factor from 2^65 to 2^66
2019-12-08	Yxinity	NF	no factor from 2^64 to 2^65
2019-12-08	Yxinity	NF	no factor from 2^64 to 2^65
2018-06-05	Yxinity	NF	no factor from 2^63 to 2^64
2018-06-05	Yxinity	NF	no factor from 2^63 to 2^64
2017-04-03	nordi	NF-PM1	B1=2756919005, B2=181956654341, E=12
2016-11-22	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-04-11	MadPoo	C-LL	FC270048FE222853
2013-11-09	David Campeau	NF-PM1	B1=207835000, B2=11015255000, E=12
2012-03-23	bcp19	NF	no factor from 2^61 to 2^62
2012-03-23	bcp19	NF	no factor from 2^60 to 2^61
2009-02-07	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-07	Sturle Sunde	NF	no factor from 2^58 to 2^59