13 241 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
105929	6	16.7	old
2873428837589316258707742676348894313	37	121.1	2023-06-02 03:27:39
1217859473761865727563164516097890942633	40	129.8	2023-05-17 23:50:13

P-1 factors

Date	Factors	B1	B2
2023-10-10	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1480 / 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	5D9DDAD0F07F5F51	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5D9DDAD0F07F5F51	1	8035	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	D76B3E51380650E9	1	12427	5	3
Factored	No proof (small exponent)	2023-05-17	JacobZ	D76B3E51380650E9	2	10199	5	3
Verified	No proof (small exponent)	2023-06-02	Denial140	D76B3E51380650E9	3	11174	5	3

History

Date	User	Type	Result
2025-02-28	masser	NF-PP1	Start=168/67, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-29	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2023-10-10	-anonymous-	F-PM1	Factor: 1217859473761865727563164516097890942633 / B1=100000000000, B2=122154521813133810
2023-06-02	Denial140	C-PRP	M13241/105929/2873428837589316258707742676348894313/1217859473761865727563164516097890942633 : D76B3E51380650E9
2023-06-02	Denial140	F-ECM	Factor: 2873428837589316258707742676348894313 / ECM curve 58, B1=3000000, B2=22972799850, Montgomery Sigma=3298178312076504
2023-05-17	JacobZ	C-PRP	M13241/105929/1217859473761865727563164516097890942633 : D76B3E51380650E9
2023-05-17	JacobZ	F-PM1	Factor: 1217859473761865727563164516097890942633 / B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13241/105929 : D76B3E51380650E9
2017-10-12	kkmrkkblmbrbk	C-PRP	M13241/105929 : 5D9DDAD0F07F5F51
2017-09-21	Oliver Kruse	C-PRP	M13241/105929 : 5D9DDAD0F07F5F51
2017-09-21	Oliver Kruse	C-PRP	M13241/105929 : 5D9DDAD0F07F5F51