13 177 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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
170586253357661868613091098335566423539043391197460170522401	60	196.8	2025-08-08 13:37:27

P-1 factors

Date	Factors	B1	B2
2023-10-10	No new factors discovered	100000000000	122154521813133808
2017-03-18	30627375969599796584085605278369	10000000000	1206738685689916

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1589 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	07A51D15A18D7090	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	07A51D15A18D7090	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	07A51D15A18D7090	4	7644	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8B63DB2F6EEFC811	4	6152	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8B63DB2F6EEFC811	4	5892	5	3
Verified	No proof (small exponent)	2025-08-20	Adel El-Atawy	8B63DB2F6EEFC811	5	8534	5	3

History

Date	User	Type	Result
2025-08-20	Adel El-Atawy	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369/170586253357661868613091098335566423539043391197460170522401 : 8B63DB2F6EEFC811
2025-08-08	Ryan Propper	F-ECM	Factor: 170586253357661868613091098335566423539043391197460170522401
2025-03-08	masser	NF-PP1	Start=101/67, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-29	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13177/16810414798702295129/18393997569823009/30627375969599796584085605278369/79063 : 8B63DB2F6EEFC811
2023-10-10	Anton Repko	F-PM1	Factor: 16810414798702295129 / B1=100000000000, B2=122154521813133810
2020-04-17	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 8B63DB2F6EEFC811
2017-12-07	ATH	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090
2017-10-02	kkmrkkblmbrbk	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090
2017-09-21	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090
2017-09-21	Oliver Kruse	C-PRP	M13177/79063/18393997569823009/16810414798702295129/30627375969599796584085605278369 : 07A51D15A18D7090
2017-03-18	kkmrkkblmbrbk	F-PM1	Factor: 30627375969599796584085605278369 / B1=10000000000, B2=1206738685689916
2008-08-29	-anonymous-	F-ECM	Factor: 16810414798702295129
2008-08-26	-anonymous-	F-PM1	Factor: 18393997569823009