436 279 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
2832875705984330849743	22	71.3	2009-05-20 02:45:31
16431152851079634228721	23	73.8	2014-11-17 15:55:25
876507193608529075145705569	27	89.5	2020-04-27 10:13:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	35AC	0
Verified (Factored)		Michael J. Kilfoyle	488345E3A639F5AC	0
Verified (Factored)		Eivind Triel	488345E3A639F5AC	189234
Verified (Factored)	2002-02-10	Dennis Pope	488345E3A639F5AC	44628

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-24	Oliver Kruse	0C34777DB44A1D0A	2	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	0C34777DB44A1D0A	2	86817	1	3
Verified (Factored)	2017-12-16	ATH	0C34777DB44A1D0A	2	23442	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	9926EDB87D618B07	2	256693	5	3
Verified	2020-04-27	M Miller	9926EDB87D618B07	3	317342	5	3

P-1 factors

Date	Factor	B1	B2
2014-11-17	16431152851079634228721	3000000	100000000

History

Date	User	Type	Result
2020-04-27	M Miller	C-PRP	M436279/2832875705984330849743/16431152851079634228721/876507193608529075145705569 : 9926EDB87D618B07 PRP: Verified PRP without proof (small exponent)
2020-04-27	TJAOI	F-ECM	Factor: 876507193608529075145705569 / (ECM curve 19, B1=250000, B2=25000000)
2020-04-18	Oliver Kruse	C-PRP	M436279/2832875705984330849743/16431152851079634228721 : 9926EDB87D618B07 PRP: Verified PRP without proof (small exponent)
2017-12-16	ATH	C-PRP	M436279/2832875705984330849743/16431152851079634228721 : 0C34777DB44A1D0A PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M436279/2832875705984330849743/16431152851079634228721 : 0C34777DB44A1D0A PRP: Verified PRP without proof (small exponent)
2017-09-24	Oliver Kruse	C-PRP	M436279/2832875705984330849743/16431152851079634228721 : 0C34777DB44A1D0A PRP without proof (not generated)
2014-11-17	alpertron	F-PM1	Factor: 16431152851079634228721 / (P-1, B1=3000000, B2=100000000, E=12)
2009-05-20	JPH	F-ECM	Factor: 2832875705984330849743