4 673 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
21672542207	11	34.3	old
3557376761618677343	19	61.6	old
1113137458573568202997196405535850786745959616024520624737	58	189.5	2021-04-17 01:39:11

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	14821 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	3D245EDC55D0FE1C	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	3D245EDC55D0FE1C	2	1965	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	3023B90F06F6829A	2	567	5	3
Verified	No proof (small exponent)	2021-04-17	mikr	3023B90F06F6829A	3	1945	5	3
Verified	No proof (small exponent)	2021-04-17	marssystems	3023B90F06F6829A	3	2778	5	3

History

Date	User	Type	Result
2025-05-19	masser	NF-PP1	Start=137/19, B1=2100000000, B2=2097900000000
2023-05-27	-anonymous-	NF-PM1	B1=68000000000, B2=682015465283852700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-04-17	marssystems	C-PRP	M4673/21672542207/3557376761618677343/1113137458573568202997196405535850786745959616024520624737 : 3023B90F06F6829A
2021-04-17	mikr	C-PRP	M4673/21672542207/3557376761618677343/1113137458573568202997196405535850786745959616024520624737 : 3023B90F06F6829A
2021-04-17	Ryan Propper	F-ECM	Factor: 1113137458573568202997196405535850786745959616024520624737
2020-04-17	Oliver Kruse	C-PRP	M4673/21672542207/3557376761618677343 : 3023B90F06F6829A
2017-10-12	kkmrkkblmbrbk	C-PRP	M4673/21672542207/3557376761618677343 : 3D245EDC55D0FE1C
2017-09-21	Oliver Kruse	C-PRP	M4673/21672542207/3557376761618677343 : 3D245EDC55D0FE1C
2017-09-21	Oliver Kruse	C-PRP	M4673/21672542207/3557376761618677343 : 3D245EDC55D0FE1C