13 009 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
58725204993500790527	20	65.7	old
10172975962592094486810857173672676999	38	122.9	2023-05-28 06:45:45

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	1745 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	5423475EEBD8CA00	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5423475EEBD8CA00	1	3270	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	873F785076A82448	1	4790	5	3
Verified	No proof (small exponent)	2023-05-28	Denial140	873F785076A82448	2	4047	5	3
Verified	No proof (small exponent)	2023-05-29	Denial140	873F785076A82448	2	5721	5	3

History

Date	User	Type	Result
2025-03-02	masser	NF-PP1	Start=114/23, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-10-10	Anton Repko	F-PM1	Factor: 58725204993500790527 / B1=100000000000, B2=122154521813133810
2023-05-29	Denial140	C-PRP	M13009/58725204993500790527/10172975962592094486810857173672676999 : 873F785076A82448
2023-05-28	Denial140	C-PRP	M13009/58725204993500790527/10172975962592094486810857173672676999 : 873F785076A82448
2023-05-28	Denial140	F-ECM	Factor: 10172975962592094486810857173672676999 / ECM curve 43, B1=3000000, B2=22972799850, Montgomery Sigma=791752821307621
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13009/58725204993500790527 : 873F785076A82448
2017-10-12	kkmrkkblmbrbk	C-PRP	M13009/58725204993500790527 : 5423475EEBD8CA00
2017-09-21	Oliver Kruse	C-PRP	M13009/58725204993500790527 : 5423475EEBD8CA00
2017-09-21	Oliver Kruse	C-PRP	M13009/58725204993500790527 : 5423475EEBD8CA00