9 413 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
556412803127	12	39.0	old
8569703468327	13	43.0	old
859274854814801166088030994389589549033	39	129.3	old
106580962154874737813154052720986505318409	42	136.3	2024-06-13 07:28:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6770 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	1A74E6CFBD0419B7	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1A74E6CFBD0419B7	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	1A74E6CFBD0419B7	3	4485	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	D7A23589770C4E4E	3	4556	5	3
Verified	No proof (small exponent)	2024-06-13	nordi	D7A23589770C4E4E	4	540	5	3

History

Date	User	Type	Result
2025-04-04	masser	NF-PP1	Start=111/13, B1=1000000000, B2=999000000000
2024-06-13	nordi	C-PRP	M9413/556412803127/8569703468327/859274854814801166088030994389589549033/106580962154874737813154052720986505318409 : D7A23589770C4E4E
2024-06-13	nordi	F-ECM	Factor: 106580962154874737813154052720986505318409 / ECM curve 295, B1=11000000, B2=93170000000, Edwards Sigma=5152376974696399
2023-07-03	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2022-01-03	ANONYMOUS	NF-PM1	B1=100000000, B2=125374980
2020-04-17	Oliver Kruse	C-PRP	M9413/556412803127/8569703468327/859274854814801166088030994389589549033 : D7A23589770C4E4E
2017-12-07	ATH	C-PRP	M9413/556412803127/8569703468327/859274854814801166088030994389589549033 : 1A74E6CFBD0419B7
2017-10-02	kkmrkkblmbrbk	C-PRP	M9413/556412803127/8569703468327/859274854814801166088030994389589549033 : 1A74E6CFBD0419B7
2017-09-21	Oliver Kruse	C-PRP	M9413/known_factors : 1A74E6CFBD0419B7