2 833 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
356346073	9	28.4	old
23566472916933362899116269461226511839	38	124.1	2008-12-22 22:57:19

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	16548 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	25B82A5F950D7B03	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	25B82A5F950D7B03	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	25B82A5F950D7B03	2	2548	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	032C6DB2142EC32C	2	2011	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	032C6DB2142EC32C	2	730	5	3

History

Date	User	Type	Result
2025-04-18	masser	NF-PP1	Start=166/43, B1=4300000000, B2=4295700000000
2024-02-03	Wentao Huang	C-PRP	M2833/356346073/23566472916933362899116269461226511839 : 032C6DB2142EC32C
2022-02-05	mikr	NF-PM1	B1=60000000000, B2=314698909231947240
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2833/356346073/23566472916933362899116269461226511839 : 032C6DB2142EC32C
2017-12-07	ATH	C-PRP	M2833/356346073/23566472916933362899116269461226511839 : 25B82A5F950D7B03
2017-10-02	kkmrkkblmbrbk	C-PRP	M2833/356346073/23566472916933362899116269461226511839 : 25B82A5F950D7B03
2017-09-21	Oliver Kruse	C-PRP	M2833/known_factors : 25B82A5F950D7B03
2008-12-22	Jayson King	F-ECM	Factor: 23566472916933362899116269461226511839