30 000 023 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
60000047	8	25.8	old
271980208519	12	38.0	2008-09-09 01:42:05
61063714815478801	17	55.8	2015-02-12 12:51:03
113100929158645876801	21	66.6	2020-06-23 10:17:57

ECM

Digits	B1	Curves
25	50000	7 / 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	2020-12-27	Richard Thomas	0AD08D18E9517EE1	4	609764	5	3

History

Date	User	Type	Result
2024-02-13	masser	NF	no factor from 2^67 to 2^71
2022-06-25	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-07	James Heinrich	NF	no factor from 2^67 to 2^68
2022-02-26	Luminescence	NF	no factor from 2^70 to 2^71
2022-02-12	masser	NF-PM1	B1=800000, B2=64924650
2022-02-10	masser	NF-PP1	Start=2/7, B1=400000, B2=9600000
2022-02-10	masser	NF-PP1	Start=6/5, B1=200000, B2=4000000
2022-02-10	masser	NF-PP1	Start=126/29, B1=50000, B2=700000
2021-06-30	mikr	NF	no factor from 2^71 to 2^72
2021-06-30	mikr	NF	no factor from 2^68 to 2^70
2020-12-27	DiegoUA	CERT	PRP Certification Proof certified good
2020-12-27	Richard Thomas	C-PRP	M30000023/60000047/271980208519/61063714815478801/113100929158645876801 : 0AD08D18E9517EE1 PRP proof power = 9 PRP: Verified Proof certified good
2020-06-23	TJAOI	F	Factor: 113100929158645876801 / TF: 66-67
2015-02-12	TJAOI	F	Factor: 61063714815478801 / TF: 55-56
2008-09-09	Will Edgington	F	Factor: 271980208519