13 577 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
81463	5	16.3	old
207429407	9	27.6	2008-08-26 19:58:40
7175300266343596078809487	25	82.6	2008-08-29 02:24:32
5174235744672422611968405354001189888272165017	46	151.9	2023-05-19 23:57:48

P-1 factors

Date	Factors	B1	B2
2024-01-29	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	1526 / 9201

Estimated T-Level: 40.8 ⓘ

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	8852C16AA96FC527	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8852C16AA96FC527	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	8852C16AA96FC527	3	1820	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	A7D874B1F2691B8C	3	4996	5	3
Verified	No proof (small exponent)	2023-05-19	JacobZ	A7D874B1F2691B8C	4	8865	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=85/43, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-01-29	-anonymous-	F-PM1	Factor: 5174235744672422611968405354001189888272165017 / B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	C-PRP	M13577/81463/207429407/7175300266343596078809487/5174235744672422611968405354001189888272165017 : A7D874B1F2691B8C
2023-05-19	JacobZ	F-PM1	Factor: 5174235744672422611968405354001189888272165017 / B1=8100000000, B2=31521845619113850
2023-02-11	USAFSS	NF-PM1	B1=6000000, B2=727565939100
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13577/81463/207429407/7175300266343596078809487 : A7D874B1F2691B8C
2017-12-07	ATH	C-PRP	M13577/81463/207429407/7175300266343596078809487 : 8852C16AA96FC527
2017-10-02	kkmrkkblmbrbk	C-PRP	M13577/81463/207429407/7175300266343596078809487 : 8852C16AA96FC527
2017-09-21	Oliver Kruse	C-PRP	M13577/81463/207429407/7175300266343596078809487 : 8852C16AA96FC527
2008-08-29	-anonymous-	F-ECM	Factor: 7175300266343596078809487
2008-08-26	-anonymous-	F	Factor: 207429407