28 729 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
4641859447	10	32.1	old
1528330628137	13	40.5	2008-08-26 19:59:19
75714899018352679	17	56.1	2008-08-26 19:59:19
12676419180208133879761	23	73.4	2009-04-04 14:32:18
263551975983937488579625836822328303	36	117.7	2017-12-28 09:04:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	661 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	6605DFB810ED00C0	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	6605DFB810ED00C0	4	0	1	3
Verified (Factored)	2017-12-07	ATH	6605DFB810ED00C0	4	28002	1	3
Verified	2017-12-29	Oliver Kruse	31CFBFBF1B71E112	5	2856	5	3
Verified	2017-12-31	kkmrkkblmbrbk	31CFBFBF1B71E112	5	13164	5	3

History

Date	User	Type	Result
2023-02-20	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-10-06	nordi	NF-PM1	B1=3000000000
2017-12-31	kkmrkkblmbrbk	C-PRP	M28729/4641859447/1528330628137/75714899018352679/12676419180208133879761/263551975983937488579625836822328303 : 31CFBFBF1B71E112 PRP: Verified PRP without proof (small exponent)
2017-12-29	Oliver Kruse	C-PRP	M28729/4641859447/1528330628137/75714899018352679/12676419180208133879761/263551975983937488579625836822328303 : 31CFBFBF1B71E112 PRP: Verified PRP without proof (small exponent)
2017-12-28	nordi	F-ECM	Factor: 263551975983937488579625836822328303 / (ECM curve 154, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M28729/4641859447/1528330628137/75714899018352679/12676419180208133879761 : 6605DFB810ED00C0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M28729/4641859447/1528330628137/75714899018352679/12676419180208133879761 : 6605DFB810ED00C0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M28729/known_factors : 6605DFB810ED00C0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M28729/known_factors : 6605DFB810ED00C0 PRP without proof (not generated)
2016-12-28	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-04-04	Matthias Wurtinger	F-ECM	Factor: 12676419180208133879761
2008-08-26	-Anonymous-	F-ECM	Factor: 75714899018352679
2008-08-26	-Anonymous-	F	Factor: 1528330628137