23 291 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
33109598515165892208797546412484442903	38	124.6	2009-10-05 01:43:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	3515 / 4588

Estimated T-Level: 38.8 ⓘ

TF below 2^124 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	1A69	0
Verified (Factored)		George Woltman	895AF9F5C5E41A69	0
Verified (Factored)		Brian J. Beesley	895AF9F5C5E41A69	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B8E849CE95BBCC17	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B8E849CE95BBCC17	1	15227	1	3
Unverified	2020-04-17	Oliver Kruse	74B5FBAE4CFDB4__	1	3204	5	3

History

Date	User	Type	Result
2024-01-01	nordi	NF-PM1	B1=8000000000, B2=2408138284051500
2023-05-02	nordi	NF-PM1	B1=8000000000
2022-05-07	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M23291/33109598515165892208797546412484442903 : 74B5FBAE4CFDB4__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M23291/33109598515165892208797546412484442903 : B8E849CE95BBCC17 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M23291/33109598515165892208797546412484442903 : B8E849CE95BBCC17 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M23291/33109598515165892208797546412484442903 : B8E849CE95BBCC17 PRP without proof (not generated)
2016-11-28	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-10-05	-Anonymous-	F-ECM	Factor: 33109598515165892208797546412484442903
2009-03-02	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-19	Sturle Sunde	NF	no factor from 2^58 to 2^59