13 001 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
104009	6	16.7	old
18880338223	11	34.1	2008-08-26 19:58:39
86834589071	11	36.3	2008-08-26 19:58:39
3261347813354891770607	22	71.5	2008-08-26 19:58:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1756 / 9201

Estimated T-Level: 41.0 ⓘ

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	B159F359421BDB7B	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B159F359421BDB7B	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B159F359421BDB7B	4	1158	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C07C0D5ABF39B448	4	209	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C07C0D5ABF39B448	4	8148	5	3

History

Date	User	Type	Result
2025-03-02	masser	NF-PP1	Start=111/47, 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
2024-07-01	kkmrkkblmbrbk	C-PRP	M13001/104009/18880338223/3261347813354891770607/86834589071 : C07C0D5ABF39B448
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
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	M13001/104009/18880338223/86834589071/3261347813354891770607 : C07C0D5ABF39B448
2017-12-07	ATH	C-PRP	M13001/104009/18880338223/86834589071/3261347813354891770607 : B159F359421BDB7B
2017-10-02	kkmrkkblmbrbk	C-PRP	M13001/104009/18880338223/86834589071/3261347813354891770607 : B159F359421BDB7B
2017-09-21	Oliver Kruse	C-PRP	M13001/104009/18880338223/86834589071/3261347813354891770607 : B159F359421BDB7B
2017-09-21	Oliver Kruse	C-PRP	M13001/104009/18880338223/86834589071/3261347813354891770607 : B159F359421BDB7B
2008-08-26	-anonymous-	F-ECM	Factor: 3261347813354891770607
2008-08-26	-anonymous-	F	Factor: 86834589071
2008-08-26	-anonymous-	F	Factor: 18880338223