13 109 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
183527	6	17.5	old
3146161	7	21.6	2008-08-26 19:58:40
76137073	8	26.2	2008-08-26 19:58:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1581 / 9201

Estimated T-Level: 40.9 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	B289F6F197B96384	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B289F6F197B96384	3	10043	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	66EBAE253D0359B0	3	12699	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	66EBAE253D0359B0	3	5710	5	3

History

Date	User	Type	Result
2025-03-01	masser	NF-PP1	Start=142/37, B1=430000000, B2=429570000000
2025-01-31	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	M13109/183527/3146161/76137073 : 66EBAE253D0359B0
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2020-04-17	Oliver Kruse	C-PRP	M13109/183527/3146161/76137073 : 66EBAE253D0359B0
2017-10-12	kkmrkkblmbrbk	C-PRP	M13109/183527/3146161/76137073 : B289F6F197B96384
2017-09-21	Oliver Kruse	C-PRP	M13109/183527/3146161/76137073 : B289F6F197B96384
2017-09-21	Oliver Kruse	C-PRP	M13109/183527/3146161/76137073 : B289F6F197B96384
2008-08-26	-anonymous-	F	Factor: 76137073
2008-08-26	-anonymous-	F	Factor: 3146161