3 533 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
190783	6	17.5	old
345286788569	12	38.3	old
4522895526953	13	42.0	old
718089294421474108457	21	69.3	old
21216001670174028278657	23	74.2	old
3983501436285513897669974590462546255234980691777	49	161.4	2020-04-06 23:40:09

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	13088 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 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	EB6434A56922EEEF	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	EB6434A56922EEEF	5	0	1	3
Verified (Factored)	2017-12-07	ATH	EB6434A56922EEEF	5	1687	1	3
Verified	2020-04-06	M Miller	E5DB54596B4040BE	6	2386	5	3
Verified	2020-04-08	Wentao Huang	E5DB54596B4040BE	6	795	5	3
Verified	2020-04-17	Oliver Kruse	E5DB54596B4040BE	6	1726	5	3

History

Date	User	Type	Result
2022-06-06	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3533/190783/345286788569/4522895526953/718089294421474108457/21216001670174028278657/3983501436285513897669974590462546255234980691777 : E5DB54596B4040BE PRP: Verified PRP without proof (small exponent)
2020-04-09	Wentao Huang	F-ECM	Factor: 213951159071911686348259662030992138850642420020567 / (ECM curve 1, B1=500000000, B2=50000000000)
2020-04-08	Wentao Huang	C-PRP	M3533/190783/345286788569/4522895526953/718089294421474108457/21216001670174028278657/3983501436285513897669974590462546255234980691777 : E5DB54596B4040BE PRP: Verified PRP without proof (small exponent)
2020-04-06	M Miller	C-PRP	M3533/190783/345286788569/4522895526953/718089294421474108457/21216001670174028278657/3983501436285513897669974590462546255234980691777 : E5DB54596B4040BE PRP: Verified PRP without proof (small exponent)
2020-04-06	Ryan Propper	F-ECM	Factor: 3983501436285513897669974590462546255234980691777 / (ECM curve 1, B1=260000000)
2017-12-07	ATH	C-PRP	M3533/190783/345286788569/4522895526953/718089294421474108457/21216001670174028278657 : EB6434A56922EEEF PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3533/190783/345286788569/4522895526953/718089294421474108457/21216001670174028278657 : EB6434A56922EEEF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3533/known_factors : EB6434A56922EEEF PRP without proof (not generated)