9 623 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
932325300974901388559	21	69.7	old
2256262405674702560089	22	70.9	old
13859401692164548785428669465929	32	103.5	old
1639101315317896604795540114645729191702076090542901251825777	61	200.0	2024-10-19 11:06:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	7033 / 9201

Estimated T-Level: 43.8 ⓘ

TF below 2^141 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4F4EEB6F40AA73E0	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	4F4EEB6F40AA73E0	3	0	1	3
Verified (Factored)	2017-12-07	ATH	4F4EEB6F40AA73E0	3	5381	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	5A07C06CCC599FFD	3	3275	5	3
Verified (Factored)	2024-07-01	kkmrkkblmbrbk	5A07C06CCC599FFD	3	8365	5	3
Verified	2024-10-19	nordi	5A07C06CCC599FFD	4	948	5	3

History

Date	User	Type	Result
2024-10-19	nordi	C-PRP	M9623/932325300974901388559/2256262405674702560089/13859401692164548785428669465929/1639101315317896604795540114645729191702076090542901251825777 : 5A07C06CCC599FFD PRP: Verified PRP without proof (small exponent)
2024-10-19	nordi	F-ECM	Factor: 1639101315317896604795540114645729191702076090542901251825777 / (ECM curve 293, B1=44000000, B2=1117403522235, Edwards Sigma=7092541374130319)
2024-07-01	kkmrkkblmbrbk	C-PRP	M9623/13859401692164548785428669465929/2256262405674702560089/932325300974901388559 : 5A07C06CCC599FFD PRP: Verified PRP without proof (small exponent)
2023-06-21	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-02-06	Joss	NF-PM1	B1=2500000000, B2=2506998852878520
2022-02-05	Joss	NF-PM1	B1=2500000000, B2=204687558135060
2022-02-05	Joss	NF-PM1	B1=2500000000, B2=105349253539530
2022-02-05	Joss	NF-PM1	B1=2500000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9623/932325300974901388559/2256262405674702560089/13859401692164548785428669465929 : 5A07C06CCC599FFD PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9623/932325300974901388559/2256262405674702560089/13859401692164548785428669465929 : 4F4EEB6F40AA73E0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9623/932325300974901388559/2256262405674702560089/13859401692164548785428669465929 : 4F4EEB6F40AA73E0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9623/known_factors : 4F4EEB6F40AA73E0 PRP without proof (not generated)