13 829 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
61043209960391	14	45.8	old
9100814131678655318068457823079	31	102.8	2017-06-01 08:58:47
401616426268246124890636744093642183	36	118.3	2019-08-24 00:05:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1522 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	61DF2BDE607696CD	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	61DF2BDE607696CD	2	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	61DF2BDE607696CD	2	4026	1	3
Verified	No proof (small exponent)	2019-08-24	mnd9	E05AF2DE63DAE947	3	2231	5	3
Verified	No proof (small exponent)	2019-08-25	GAN	E05AF2DE63DAE947	3	13452	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=141/17, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-21	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=10000000, B2=704560436580
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2019-08-25	GAN	C-PRP	M13829/61043209960391/9100814131678655318068457823079/401616426268246124890636744093642183 : E05AF2DE63DAE947
2019-08-24	mnd9	C-PRP	M13829/61043209960391/9100814131678655318068457823079/401616426268246124890636744093642183 : E05AF2DE63DAE947
2019-08-24	Niels_Mache_Nextcloud	F-ECM	Factor: 401616426268246124890636744093642183 / ECM curve 2, B1=3000000, B2=300000000, Montgomery Sigma=1558870335217486
2017-12-07	ATH	C-PRP	M13829/61043209960391/9100814131678655318068457823079 : 61DF2BDE607696CD
2017-10-02	kkmrkkblmbrbk	C-PRP	M13829/61043209960391/9100814131678655318068457823079 : 61DF2BDE607696CD
2017-09-21	Oliver Kruse	C-PRP	M13829/known_factors : 61DF2BDE607696CD
2017-06-01	kkmrkkblmbrbk	F-ECM	Factor: 9100814131678655318068457823079