13 063 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
522521	6	19.0	old
554733359	9	29.0	2008-08-26 19:58:39
671825272954381026535657	24	79.2	2008-11-22 12:25:28
126541287035193939087787384428110492447	39	126.6	2017-04-27 17:45:53

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	1582 / 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	66CACE001BCA165F	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	66CACE001BCA165F	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	66CACE001BCA165F	4	2009	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B52C9BC301622C65	4	11003	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B52C9BC301622C65	4	8951	5	3

History

Date	User	Type	Result
2025-03-10	masser	NF-PP1	Start=120/71, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13063/126541287035193939087787384428110492447/522521/554733359/671825272954381026535657 : B52C9BC301622C65
2023-10-10	-anonymous-	F-PM1	Factor: 671825272954381026535657 / B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13063/522521/554733359/671825272954381026535657/126541287035193939087787384428110492447 : B52C9BC301622C65
2017-12-07	ATH	C-PRP	M13063/522521/554733359/671825272954381026535657/126541287035193939087787384428110492447 : 66CACE001BCA165F
2017-10-02	kkmrkkblmbrbk	C-PRP	M13063/522521/554733359/671825272954381026535657/126541287035193939087787384428110492447 : 66CACE001BCA165F
2017-09-21	Oliver Kruse	C-PRP	M13063/522521/554733359/671825272954381026535657/126541287035193939087787384428110492447 : 66CACE001BCA165F
2017-09-21	Oliver Kruse	C-PRP	M13063/522521/554733359/671825272954381026535657/126541287035193939087787384428110492447 : 66CACE001BCA165F
2017-04-27	kkmrkkblmbrbk	F-ECM	Factor: 126541287035193939087787384428110492447
2008-11-22	-anonymous-	F-ECM	Factor: 671825272954381026535657
2008-08-26	-anonymous-	F	Factor: 554733359