13 183 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
698725367	9	29.4	old
204375310753	12	37.6	2008-08-26 19:58:40
999789781927	12	39.9	2008-08-26 19:58:40
42719770427033596773319	23	75.2	2008-08-29 02:24:32
3212964667756388247233621327	28	91.4	2008-11-22 12:25:28

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	1580 / 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	F5D0E5ABFDF7436F	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F5D0E5ABFDF7436F	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F5D0E5ABFDF7436F	5	782	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	76DA6EDA02B2E88F	5	4027	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	76DA6EDA02B2E88F	5	5326	5	3

History

Date	User	Type	Result
2025-02-28	masser	NF-PP1	Start=164/67, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-30	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13183/204375310753/3212964667756388247233621327/42719770427033596773319/698725367/999789781927 : 76DA6EDA02B2E88F
2023-10-10	-anonymous-	F-PM1	Factor: 42719770427033596773319 / B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M13183/698725367/204375310753/999789781927/42719770427033596773319/3212964667756388247233621327 : 76DA6EDA02B2E88F
2017-12-07	ATH	C-PRP	M13183/698725367/204375310753/999789781927/42719770427033596773319/3212964667756388247233621327 : F5D0E5ABFDF7436F
2017-10-02	kkmrkkblmbrbk	C-PRP	M13183/698725367/204375310753/999789781927/42719770427033596773319/3212964667756388247233621327 : F5D0E5ABFDF7436F
2017-09-21	Oliver Kruse	C-PRP	M13183/known_factors : F5D0E5ABFDF7436F
2008-11-22	-anonymous-	F-ECM	Factor: 3212964667756388247233621327
2008-08-29	-anonymous-	F-ECM	Factor: 42719770427033596773319
2008-08-26	-anonymous-	F	Factor: 999789781927
2008-08-26	-anonymous-	F	Factor: 204375310753