9 923 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
2182682927	10	31.0	old
8488689889	10	33.0	old
1323711688129	13	40.3	old
9195444934514393	16	53.0	old
4029959159110633611919371121923073	34	111.6	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	6189 / 16550

Estimated T-Level: 46.9 ⓘ

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	09F8B410FFD2D5C8	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	09F8B410FFD2D5C8	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	09F8B410FFD2D5C8	5	9145	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4F37077F1169D397	5	7968	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4F37077F1169D397	5	9032	5	3

History

Date	User	Type	Result
2025-03-18	masser	NF-PP1	Start=188/17, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9923/1323711688129/2182682927/4029959159110633611919371121923073/8488689889/9195444934514393 : 4F37077F1169D397
2023-06-12	JacobZ	NF-PM1	B1=58000000000, B2=241250667952694400
2022-11-24	Kevin_9611	NF-PM1	B1=1000000000, B2=100294988083290
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9923/2182682927/8488689889/1323711688129/9195444934514393/4029959159110633611919371121923073 : 4F37077F1169D397
2017-12-07	ATH	C-PRP	M9923/2182682927/8488689889/1323711688129/9195444934514393/4029959159110633611919371121923073 : 09F8B410FFD2D5C8
2017-10-02	kkmrkkblmbrbk	C-PRP	M9923/2182682927/8488689889/1323711688129/9195444934514393/4029959159110633611919371121923073 : 09F8B410FFD2D5C8
2017-09-21	Oliver Kruse	C-PRP	M9923/known_factors : 09F8B410FFD2D5C8