4 099 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
73783	5	16.2	old
262337	6	18.0	old
1816586623	10	30.8	old
201174447718334521	18	57.5	old
134184298503772840453580704960897	33	106.7	old
10721410046188167773445923767687200775977839318008207	53	172.8	2020-10-02 11:41:27

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	16550 / 16550
55	110000000	20501 / 40830

Estimated T-Level: 52.5 ⓘ

TF below 2^169 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	A495A08D3485C86E	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	A495A08D3485C86E	5	0	1	3
Verified (Factored)	2017-12-07	ATH	A495A08D3485C86E	5	2392	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	81CFE712D7D461DC	5	1096	5	3
Verified	2020-10-02	M Miller	81CFE712D7D461DC	6	3740	5	3

History

Date	User	Type	Result
2023-05-17	-Anonymous-	NF-PM1	B1=79000000000, B2=797496463397964330
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-10-02	M Miller	C-PRP	M4099/73783/262337/1816586623/201174447718334521/134184298503772840453580704960897/10721410046188167773445923767687200775977839318008207 : 81CFE712D7D461DC PRP: Verified PRP without proof (small exponent)
2020-10-02	Ryan Propper	F-ECM	Factor: 10721410046188167773445923767687200775977839318008207 / (ECM curve 1, B1=260000000, B2=3142865025316, Sigma=6935740167716371830)
2020-04-17	Oliver Kruse	C-PRP	M4099/73783/262337/1816586623/201174447718334521/134184298503772840453580704960897 : 81CFE712D7D461DC PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4099/73783/262337/1816586623/201174447718334521/134184298503772840453580704960897 : A495A08D3485C86E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4099/73783/262337/1816586623/201174447718334521/134184298503772840453580704960897 : A495A08D3485C86E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4099/known_factors : A495A08D3485C86E PRP without proof (not generated)