4 211 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8423	4	13.0	old
92271433	8	26.5	old
94528529	8	26.5	old
200614777151	12	37.5	old
1898132277967	13	40.8	old
187666584810641	15	47.4	old
23076752525413563827659320172881391	35	114.2	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	19962 / 40830

Estimated T-Level: 52.4 ⓘ

TF below 2^169 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	F7A841A91CEE8CBF	7	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F7A841A91CEE8CBF	7	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F7A841A91CEE8CBF	7	2412	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1CD5FB0B28CFC382	7	3437	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	1CD5FB0B28CFC382	1	2891	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	1CD5FB0B28CFC382	7	2935	5	3

History

Date	User	Type	Result
2025-05-13	masser	NF-PP1	Start=127/17, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M4211/8423/92271433/94528529/200614777151/1898132277967/187666584810641/23076752525413563827659320172881391 : 1CD5FB0B28CFC382
2023-05-18	-anonymous-	NF-PM1	B1=77000000000, B2=774741206631261870
2022-05-12	Jorge Coveiro	C-PRP	M4211/8423 : 1CD5FB0B28CFC382
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M4211/8423/92271433/94528529/200614777151/1898132277967/187666584810641/23076752525413563827659320172881391 : 1CD5FB0B28CFC382
2017-12-07	ATH	C-PRP	M4211/8423/92271433/94528529/200614777151/1898132277967/187666584810641/23076752525413563827659320172881391 : F7A841A91CEE8CBF
2017-10-02	kkmrkkblmbrbk	C-PRP	M4211/8423/92271433/94528529/200614777151/1898132277967/187666584810641/23076752525413563827659320172881391 : F7A841A91CEE8CBF
2017-09-21	Oliver Kruse	C-PRP	M4211/known_factors : F7A841A91CEE8CBF
2009-10-25	Carsten Kossendey	F-PM1	Factor: 13787448919887928934578540889977151