13 229 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
396871	6	18.6	old
3651039175658486291643085509250711	34	111.5	2017-05-06 06:59:51
24340234002086002718476147510438235233663888966463	50	164.1	2025-08-04 02:10:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	7339 / 9201

Estimated T-Level: 44.0 ⓘ

TF below 2^141 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	19AE800B686165E1	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	19AE800B686165E1	2	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	19AE800B686165E1	2	1041	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	CF0EB30E78CA64EC	2	10367	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	CF0EB30E78CA64EC	2	12951	5	3
Verified	No proof (small exponent)	2025-08-10	Michel Yamagishi	CF0EB30E78CA64EC	3	7227	5	3

History

Date	User	Type	Result
2025-08-10	Michel Yamagishi	C-PRP	M13229/396871/3651039175658486291643085509250711/24340234002086002718476147510438235233663888966463 : CF0EB30E78CA64EC
2025-08-04	Ryan Propper	F-ECM	Factor: 24340234002086002718476147510438235233663888966463
2025-03-08	masser	NF-PP1	Start=135/31, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-30	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13229/3651039175658486291643085509250711/396871 : CF0EB30E78CA64EC
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13229/396871/3651039175658486291643085509250711 : CF0EB30E78CA64EC
2017-12-07	ATH	C-PRP	M13229/396871/3651039175658486291643085509250711 : 19AE800B686165E1
2017-10-02	kkmrkkblmbrbk	C-PRP	M13229/396871/3651039175658486291643085509250711 : 19AE800B686165E1
2017-09-21	Oliver Kruse	C-PRP	M13229/known_factors : 19AE800B686165E1
2017-05-06	kkmrkkblmbrbk	F-ECM	Factor: 3651039175658486291643085509250711