3 929 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
160020313	9	27.3	old
27882384241	11	34.7	old
37762076995673	14	45.1	old
21285928013183166649417997720550079	35	114.0	2009-05-03 11:18:03
8152689894009666471753463527419704729666163001799	49	162.5	2019-12-06 15:09:42

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	14498 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	D9DAC9FEA5E157F5	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D9DAC9FEA5E157F5	4	0	1	3
Verified (Factored)	2017-12-07	ATH	D9DAC9FEA5E157F5	4	1361	1	3
Verified	2019-12-07	xyuzyz	69584F3819D9214B	5	2125	5	3
Verified	2019-12-08	GAN	69584F3819D9214B	5	684	5	3
Verified	2020-04-17	Oliver Kruse	69584F3819D9214B	5	2372	5	3

History

Date	User	Type	Result
2023-05-15	JacobZ	NF-PM1	B1=66000000000, B2=667136464473408930
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3929/160020313/27882384241/37762076995673/21285928013183166649417997720550079/8152689894009666471753463527419704729666163001799 : 69584F3819D9214B PRP: Verified PRP without proof (small exponent)
2019-12-08	GAN	C-PRP	M3929/160020313/27882384241/37762076995673/21285928013183166649417997720550079/8152689894009666471753463527419704729666163001799 : 69584F3819D9214B PRP: Verified PRP without proof (small exponent)
2019-12-07	xyuzyz	C-PRP	M3929/160020313/27882384241/37762076995673/21285928013183166649417997720550079/8152689894009666471753463527419704729666163001799 : 69584F3819D9214B PRP: Verified PRP without proof (small exponent)
2019-12-06	Ryan Propper	F-ECM	Factor: 8152689894009666471753463527419704729666163001799 / (ECM curve 1, B1=260000000)
2017-12-07	ATH	C-PRP	M3929/160020313/27882384241/37762076995673/21285928013183166649417997720550079 : D9DAC9FEA5E157F5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3929/160020313/27882384241/37762076995673/21285928013183166649417997720550079 : D9DAC9FEA5E157F5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3929/known_factors : D9DAC9FEA5E157F5 PRP without proof (not generated)
2009-05-03	unconnected	F-ECM	Factor: 21285928013183166649417997720550079