13 177 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
79063	5	16.3	old
18393997569823009	17	54.0	2008-08-26 19:58:40
16810414798702295129	20	63.9	2008-08-29 02:24:32
30627375969599796584085605278369	32	104.6	2017-03-18 06:35:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1385 / 9201

Estimated T-Level: 40.8 ⓘ

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	07A51D15A18D7090	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	07A51D15A18D7090	4	0	1	3
Verified	2017-12-07	ATH	07A51D15A18D7090	4	7644	1	3
Verified	2020-04-17	Oliver Kruse	8B63DB2F6EEFC811	4	6152	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8B63DB2F6EEFC811	4	5892	5	3

P-1 factors

Date	Factor	B1	B2
2017-03-18	30627375969599796584085605278369	10000000000	1206738685689916
2023-10-10	16810414798702295129	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13177/16810414798702295129/18393997569823009/30627375969599796584085605278369/79063 : 8B63DB2F6EEFC811 PRP: Verified PRP without proof (small exponent)
2023-10-10	Anton Repko	F-PM1	Factor: 16810414798702295129 / (P-1, B1=100000000000, B2=122154521813133810)
2020-04-17	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 8B63DB2F6EEFC811 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090 PRP without proof (not generated)
2017-03-18	kkmrkkblmbrbk	F-PM1	Factor: 30627375969599796584085605278369 / (P-1, B1=10000000000, B2=1206738685689916)
2008-08-29	-Anonymous-	F-ECM	Factor: 16810414798702295129
2008-08-26	-Anonymous-	F-PM1	Factor: 18393997569823009