306 689 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
44908594285404877821991494011901193361	38	125.1	2022-09-23 12:19:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	160 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	688	0
Verified (Factored)		Unknown	0688	0
Verified (Factored)		Klaus Kastens	9084F5D9B7260688	0
Verified (Factored)		Eivind Triel	9084F5D9B7260688	187232
Verified (Factored)	2001-12-08	Dennis Pope	9084F5D9B7260688	144854

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-09-23	Oliver Kruse	849B5B6615DCDB99	1	216889	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-23	44908594285404877821991494011901193361	1000000000	33019509533010

History

Date	User	Type	Result
2022-09-26	Hestia.oxwil.com	CERT	PRP Certification Proof certified good
2022-09-23	Oliver Kruse	C-PRP	M306689/44908594285404877821991494011901193361 : 849B5B6615DCDB99 PRP proof power = 5 PRP: Verified Proof certified good
2022-09-23	Oliver Kruse	F-PM1	Factor: 44908594285404877821991494011901193361 / (P-1, B1=1000000000, B2=33019509533010)
2022-06-09	Gordon Spence	NF	no factor from 2^67 to 2^68
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-01-18	Yxinity	NF	no factor from 2^66 to 2^67
2019-11-22	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-01-19	BloodERazor	NF	no factor from 2^64 to 2^65
2015-12-20	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-20	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-19	NR	NF	no factor from 2^61 to 2^62
2012-10-16	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-08-20	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2012-04-24	David Campeau	NF	no factor from 2^60 to 2^61
2009-01-28	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59
2008-11-16	GrunwalderGIMP	NF-PM1	B1=2000000, B2=200000000, E=12