2 181 953 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
83996462689	11	36.3	old
7952089253760329	16	52.8	2014-08-24 11:48:51
1168860302823897209	19	60.0	2016-01-05 12:08:56
2469642730993283912809	22	71.1	2024-01-02 04:30:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	194 / 640

Estimated T-Level: 26.5 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	C0756544F8467A2E	3	0	1	3
Verified (Factored)	2017-10-25	Oliver Kruse	C0756544F8467A2E	3	628958	1	3
Verified	2024-01-02	Naegi Makoto	EDD0BA6C8DB7413C	4	2075807	5	3

History

Date	User	Type	Result
2024-01-02	Ben Delo	CERT	PRP Certification Proof certified good
2024-01-02	Naegi Makoto	C-PRP	M2181953/83996462689/7952089253760329/1168860302823897209/2469642730993283912809 : EDD0BA6C8DB7413C PRP proof power = 7 PRP: Verified Proof certified good
2024-01-02	debrouxl	F-ECM	Factor: 2469642730993283912809 / (ECM curve 37, B1=52997, B2=7472577, Sigma=5655796047464233)
2017-10-25	Oliver Kruse	C-PRP	M2181953/83996462689/7952089253760329/1168860302823897209 : C0756544F8467A2E PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2181953/1168860302823897209/7952089253760329/83996462689 : C0756544F8467A2E PRP: Verified (Factored) PRP without proof (not generated)
2016-03-22	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2016-01-05	TJAOI	F	Factor: 1168860302823897209 / TF: 60-61
2014-08-24	TJAOI	F	Factor: 7952089253760329