29 834 263 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2329766248595294012521271683681741686943	40	130.8	2022-01-03 21:15:59

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2005-06-19	Derek Bergin	972B9F3E10812ABC	27910437
Verified (Factored)	2012-07-03	jingfired	972B9F3E10812ABC	29166646

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-23	Dobri	8263D5571BBF68E3	1	24026340	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-03	2329766248595294012521271683681741686943	1750000	1013168520

History

Date	User	Type	Result
2023-01-23	curtisc	CERT	PRP Certification Proof certified good
2023-01-23	Dobri	C-PRP	M29834263/2329766248595294012521271683681741686943 : 8263D5571BBF68E3 PRP proof power = 9 PRP: Verified Proof certified good
2022-01-03	Oliver Kruse	F-PM1	Factor: 2329766248595294012521271683681741686943 / (P-1, B1=1750000, B2=1013168520)
2021-12-10	Oliver Kruse	NF-PP1	Start=2/7, B1=100000, B2=5000000
2021-10-04	TheJudger	NF	no factor from 2^74 to 2^75
2021-09-10	TheJudger	NF	no factor from 2^73 to 2^74
2021-07-15	Sid & Andy	NF	no factor from 2^72 to 2^73
2021-04-01	Sid & Andy	NF	no factor from 2^71 to 2^72
2018-08-22	monst	NF	no factor from 2^70 to 2^71
2012-07-03	jingfired	C-LL	972B9F3E10812ABC
2012-02-23	bcp19	NF	no factor from 2^69 to 2^70
2012-02-14	Xyzzy	NF	no factor from 2^68 to 2^69