14 779 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
266023	6	18.0	old
10471571777	11	33.3	2008-08-26 19:58:44
20422936707868817	17	54.2	2008-08-26 19:58:44
787267842159327816769	21	69.4	2008-08-29 02:24:35
872760766652656892363620873	27	89.5	2009-06-10 14:00:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1257 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	88B05FEF6B7F4951	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	88B05FEF6B7F4951	5	0	1	3
Verified	2017-12-07	ATH	88B05FEF6B7F4951	5	13104	1	3
Verified	2020-04-17	Oliver Kruse	61AC6DDF5F9A2DD9	5	11422	5	3
Verified	2024-07-01	kkmrkkblmbrbk	61AC6DDF5F9A2DD9	5	5052	5	3

P-1 factors

Date	Factor	B1	B2
2024-03-07	687096485483957822729940566806402007774727819337	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14779/10471571777/20422936707868817/266023/787267842159327816769/872760766652656892363620873 : 61AC6DDF5F9A2DD9 PRP: Verified PRP without proof (small exponent)
2024-03-07	-Anonymous-	F-PM1	Factors: 872760766652656892363620873,787267842159327816769 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14779/266023/10471571777/20422936707868817/787267842159327816769/872760766652656892363620873 : 61AC6DDF5F9A2DD9 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14779/266023/10471571777/20422936707868817/787267842159327816769/872760766652656892363620873 : 88B05FEF6B7F4951 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14779/266023/10471571777/20422936707868817/787267842159327816769/872760766652656892363620873 : 88B05FEF6B7F4951 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14779/266023/10471571777/20422936707868817/787267842159327816769/872760766652656892363620873 : 88B05FEF6B7F4951 PRP without proof (not generated)
2009-06-10	Rob_Dee	F-ECM	Factor: 872760766652656892363620873
2008-08-29	-Anonymous-	F-ECM	Factor: 787267842159327816769
2008-08-26	-Anonymous-	F-PM1	Factor: 20422936707868817
2008-08-26	-Anonymous-	F	Factor: 10471571777