3 900 847 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5654293329889	13	42.4	old
12730059103264621895021873	26	83.4	2019-07-02 22:17:25

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	096A9086458C8FC6	1	0	1	3
Verified (Factored)	2017-12-28	Oliver Kruse	096A9086458C8FC6	1	3013097	1	3
Verified	2019-07-03	Niels_Mache_Nextcloud	434067DB0CE0B2D0	2	2447081	5	3
Verified	2019-07-04	kkmrkkblmbrbk	434067DB0CE0B2D0	2	414803	5	3

P-1 factors

Date	Factor	B1	B2
2019-07-02	12730059103264621895021873	30000	300000

History

Date	User	Type	Result
2022-09-27	Joss	NF-PM1	B1=1000000, B2=130364850
2022-05-15	Joss	NF-PM1	B1=500000, B2=130364850
2022-03-09	Joss	NF	no factor from 2^67 to 2^68
2019-07-04	kkmrkkblmbrbk	C-PRP	M3900847/5654293329889/12730059103264621895021873 : 434067DB0CE0B2D0 PRP: Verified PRP without proof (not generated)
2019-07-03	Niels_Mache_Nextcloud	C-PRP	M3900847/5654293329889/12730059103264621895021873 : 434067DB0CE0B2D0 PRP: Verified PRP without proof (not generated)
2019-07-02	Joss	F-PM1	Factor: 12730059103264621895021873 / (P-1, B1=30000, B2=300000)
2017-12-28	Oliver Kruse	C-PRP	M3900847/5654293329889 : 096A9086458C8FC6 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3900847/5654293329889 : 096A9086458C8FC6 PRP: Verified PRP without proof (not generated)