2 593 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
15559	5	13.9	old
62233	5	15.9	old
173483083271	12	37.3	old
40443813063922173937	20	65.1	old
4995038229928547871581359	25	82.0	old

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	16550 / 16550
55	110000000	27053 / 40830

Estimated T-Level: 53.3 ⓘ

TF below 2^172 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	330E63DFEF1F51B1	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	330E63DFEF1F51B1	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	330E63DFEF1F51B1	5	1301	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F49588F29768AA76	5	973	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F49588F29768AA76	5	331	5	3

History

Date	User	Type	Result
2025-04-18	masser	NF-PP1	Start=173/67, B1=4300000000, B2=4295700000000
2024-02-03	Wentao Huang	C-PRP	M2593/15559/62233/173483083271/40443813063922173937/4995038229928547871581359 : F49588F29768AA76
2022-03-19	mikr	NF-PM1	B1=60000000000, B2=9904410236901180
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2593/15559/62233/173483083271/40443813063922173937/4995038229928547871581359 : F49588F29768AA76
2017-12-07	ATH	C-PRP	M2593/15559/62233/173483083271/40443813063922173937/4995038229928547871581359 : 330E63DFEF1F51B1
2017-10-02	kkmrkkblmbrbk	C-PRP	M2593/15559/62233/173483083271/40443813063922173937/4995038229928547871581359 : 330E63DFEF1F51B1
2017-09-21	Oliver Kruse	C-PRP	M2593/known_factors : 330E63DFEF1F51B1