28 751 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
57503	5	15.8	old
22770793	8	24.4	2008-08-26 19:59:19
135302207	9	27.0	2008-08-26 19:59:19
14296922253213772354583	23	73.6	2010-04-19 16:47:13
27218484921433741949961789840812977	35	114.4	2017-12-27 20:26:58

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	1FDEA1FB8E0AF546	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	1FDEA1FB8E0AF546	4	0	1	3
Verified (Factored)	2017-12-07	ATH	1FDEA1FB8E0AF546	4	22812	1	3
Verified	2017-12-30	Oliver Kruse	9E6B24A9D288AA83	5	12385	5	3
Verified	2017-12-30	BloodERazor	9E6B24A9D288AA83	5	4067	5	3
Verified	2017-12-30	kkmrkkblmbrbk	9E6B24A9D288AA83	5	4295	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	9E6B24A9D288AA83	1	17478	5	3

History

Date	User	Type	Result
2023-02-20	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-10-07	nordi	NF-PM1	B1=3000000000
2022-05-12	Jorge Coveiro	C-PRP	M28751/57503 : 9E6B24A9D288AA83 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-30	kkmrkkblmbrbk	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583/27218484921433741949961789840812977 : 9E6B24A9D288AA83 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-30	BloodERazor	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583/27218484921433741949961789840812977 : 9E6B24A9D288AA83 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-30	Oliver Kruse	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583/27218484921433741949961789840812977 : 9E6B24A9D288AA83 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-27	nordi	F-ECM	Factor: 27218484921433741949961789840812977 / (ECM curve 293, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583 : 1FDEA1FB8E0AF546 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583 : 1FDEA1FB8E0AF546 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M28751/57503/22770793/135302207/14296922253213772354583 : 1FDEA1FB8E0AF546 PRP without proof (not generated)
2016-12-28	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2010-04-19	James Hintz	F-ECM	Factor: 14296922253213772354583
2008-08-26	-Anonymous-	F	Factor: 135302207
2008-08-26	-Anonymous-	F	Factor: 22770793