434 827 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
51881982515703157080565592039	29	95.4	2019-05-14 05:33:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	439 / 640

Estimated T-Level: 28.4 ⓘ

TF below 2^89 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	71B	0
Verified (Factored)		Ferdy Keler	C1BA165C3CDC071B	0
Verified (Factored)		Eivind Triel	C1BA165C3CDC071B	219048
Verified (Factored)	2002-02-03	Dennis Pope	C1BA165C3CDC071B	216534

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-15	francijezek	0EC85B2CA5FBA521	1	194703	5	3
Verified	2019-05-15	francijezek	0EC85B2CA5FBA521	1	102606	5	3
Verified	2019-05-17	vnatin	0EC85B2CA5FBA521	1	381168	5	3

History

Date	User	Type	Result
2019-05-17	vnatin	C-PRP	M434827/51881982515703157080565592039 : 0EC85B2CA5FBA521 PRP: Verified PRP without proof (small exponent)
2019-05-15	francijezek	C-PRP	M434827/51881982515703157080565592039 : 0EC85B2CA5FBA521 PRP: Verified PRP without proof (small exponent)
2019-05-15	francijezek	C-PRP	M434827/51881982515703157080565592039 : 0EC85B2CA5FBA521 PRP: Verified PRP without proof (small exponent)
2019-05-14	alex	F-ECM	Factor: 51881982515703157080565592039 / (ECM curve 326, B1=250000, B2=25000000, Sigma=7130273425026085)
2018-12-27	BloodERazor	NF	no factor from 2^65 to 2^66
2017-12-21	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-15	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-15	Gordon Spence	NF	no factor from 2^62 to 2^63
2012-12-01	dbaugh	NF	no factor from 2^61 to 2^62
2012-11-27	dbaugh	NF	no factor from 2^60 to 2^61
2012-09-04	markr	NF-PM1	B1=10000000, B2=400000000, E=12
2010-08-19	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-08-18	Rob_Dee	NF-PM1	B1=500000, B2=1000000
2009-08-26	Carsten Kossendey	NF-PM1	B1=434827