9 643 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
12362327	8	23.6	old
61747892395964379745414372849	29	95.6	old
457335736472136669072312395951	30	98.5	old
1423789230517411388894976768640621783	37	120.1	old

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	6846 / 16550

Estimated T-Level: 47.1 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	5F934A16195DF414	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5F934A16195DF414	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5F934A16195DF414	4	5657	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	CD4927545AD45EC3	4	8324	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	CD4927545AD45EC3	4	6854	5	3

History

Date	User	Type	Result
2025-03-27	masser	NF-PP1	Start=144/29, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9643/12362327/1423789230517411388894976768640621783/457335736472136669072312395951/61747892395964379745414372849 : CD4927545AD45EC3
2023-06-20	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-02-03	-anonymous-	NF-PM1	B1=50000, B2=15277839797220
2020-04-17	Oliver Kruse	C-PRP	M9643/12362327/61747892395964379745414372849/457335736472136669072312395951/1423789230517411388894976768640621783 : CD4927545AD45EC3
2017-12-07	ATH	C-PRP	M9643/12362327/61747892395964379745414372849/457335736472136669072312395951/1423789230517411388894976768640621783 : 5F934A16195DF414
2017-10-02	kkmrkkblmbrbk	C-PRP	M9643/12362327/61747892395964379745414372849/457335736472136669072312395951/1423789230517411388894976768640621783 : 5F934A16195DF414
2017-09-21	Oliver Kruse	C-PRP	M9643/known_factors : 5F934A16195DF414