1 433 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 PRP (Probable-Prime).

Factored

Factor	Digits	Bits	Date
20063	5	14.3	old
53101249	8	25.7	old
86576129	8	26.4	old
16532942303	11	33.9	old
7653556173496897	16	52.8	old
37016911276630606260638841893117274682556135844772889917360642334207	68	224.5	2024-09-04 19:43:44

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	5625 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	2193F16DECECA4B1	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	2193F16DECECA4B1	5	0	1	3
Verified (Factored)	2017-12-07	ATH	2193F16DECECA4B1	5	806	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	FA8AB8DAD381BBC4	5	748	5	3
Verified (Factored)	2020-08-12	_p95holder_	FA8AB8DAD381BBC4	5	758	5	3
Verified	2024-09-05	George Woltman	PRP_PRP_PRP_PRP_	6	8	1	3
Verified	2024-09-06	kkmrkkblmbrbk	PRP_PRP_PRP_PRP_	6	726	1	3

History

Date	User	Type	Result
2024-09-06	kkmrkkblmbrbk	P-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897/37016911276630606260638841893117274682556135844772889917360642334207 is a probable prime.
2024-09-05	George Woltman	P-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897/37016911276630606260638841893117274682556135844772889917360642334207 is a probable prime.
2024-09-04	Ryan Propper	F-ECM	Factor: 37016911276630606260638841893117274682556135844772889917360642334207 / (ECM curve 1, B1=2900000000, B2=290000000000, Edwards Sigma=1925343287229688)
2021-07-20	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2021-03-27	nordi	NF-PM1	B1=1000000000000, B2=2232843418649129478
2020-08-12	_p95holder_	C-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897 : FA8AB8DAD381BBC4 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897 : FA8AB8DAD381BBC4 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897 : 2193F16DECECA4B1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1433/20063/53101249/86576129/16532942303/7653556173496897 : 2193F16DECECA4B1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1433/known_factors : 2193F16DECECA4B1 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12