14 549 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
653075513	9	29.3	old
59978898804843871	17	55.7	2008-08-26 19:58:43
4970249822849568742951566329	28	92.0	2013-07-25 18:49:33

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1711 / 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	561BB4CEC277EE62	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	561BB4CEC277EE62	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	561BB4CEC277EE62	3	763	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	DBDD20053B44492F	3	9000	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	DBDD20053B44492F	3	6420	5	3

History

Date	User	Type	Result
2025-02-07	masser	NF-PP1	Start=195/19, B1=355000000, B2=354645000000
2025-02-06	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-16	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14549/4970249822849568742951566329/59978898804843871/653075513 : DBDD20053B44492F
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2023-05-25	JacobZ	NF-PM1	B1=7500000000, B2=29520458628010350
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14549/653075513/59978898804843871/4970249822849568742951566329 : DBDD20053B44492F
2017-12-07	ATH	C-PRP	M14549/653075513/59978898804843871/4970249822849568742951566329 : 561BB4CEC277EE62
2017-10-02	kkmrkkblmbrbk	C-PRP	M14549/653075513/59978898804843871/4970249822849568742951566329 : 561BB4CEC277EE62
2017-09-21	Oliver Kruse	C-PRP	M14549/653075513/59978898804843871/4970249822849568742951566329 : 561BB4CEC277EE62
2017-09-21	Oliver Kruse	C-PRP	M14549/653075513/59978898804843871/4970249822849568742951566329 : 561BB4CEC277EE62
2013-07-25	BloodIce	F-ECM	Factor: 4970249822849568742951566329
2008-08-26	-anonymous-	F-ECM	Factor: 59978898804843871