24 049 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
503826551	9	28.9	old
5282780533033	13	42.3	2008-08-26 19:59:09
148682530588729	15	47.1	2008-08-26 19:59:09
6874326144970089583	19	62.6	2008-08-26 19:59:09
4497188214398012252314067157341419567695527	43	141.7	2025-03-26 17:52:19
6328581050038123741381694173085949774448841	43	142.2	2025-03-26 17:52:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	5084 / 9201

Estimated T-Level: 42.8 ⓘ

TF below 2^137 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	230B17D359A37E6F	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	230B17D359A37E6F	4	0	1	3
Verified (Factored)	2017-12-07	ATH	230B17D359A37E6F	4	10933	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3D25C4B979A79054	4	8528	5	3
Verified (Factored)	2024-07-01	kkmrkkblmbrbk	3D25C4B979A79054	4	4983	5	3
Verified	2025-03-26	fbaur	3D25C4B979A79054	6	1676	5	3

History

Date	User	Type	Result
2025-03-26	fbaur	C-PRP	M24049/503826551/5282780533033/148682530588729/6874326144970089583/4497188214398012252314067157341419567695527/6328581050038123741381694173085949774448841 : 3D25C4B979A79054 PRP: Verified PRP without proof (small exponent)
2025-03-26	fbaur	F-ECM	Factor: 6328581050038123741381694173085949774448841 / (ECM curve 29, B1=43000000, B2=422129998290, Edwards Sigma=8431015561569366)
2025-03-26	fbaur	F-ECM	Factor: 4497188214398012252314067157341419567695527 / (ECM curve 8, B1=43000000, B2=422129998290, Edwards Sigma=5988630911892333)
2024-11-22	masser	NF-PP1	Start=2/7, B1=100000000, B2=99900000000
2024-11-20	masser	NF-PP1	Start=73/29, B1=100000000, B2=99900000000
2024-11-16	masser	NF-PP1	Start=6/5, B1=100000000, B2=99900000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M24049/148682530588729/503826551/5282780533033/6874326144970089583 : 3D25C4B979A79054 PRP: Verified PRP without proof (small exponent)
2024-02-22	nordi	NF-PM1	B1=8000000000, B2=2427250412837250
2023-04-05	nordi	NF-PM1	B1=8000000000
2020-04-17	Oliver Kruse	C-PRP	M24049/503826551/5282780533033/148682530588729/6874326144970089583 : 3D25C4B979A79054 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M24049/503826551/5282780533033/148682530588729/6874326144970089583 : 230B17D359A37E6F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M24049/503826551/5282780533033/148682530588729/6874326144970089583 : 230B17D359A37E6F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M24049/503826551/5282780533033/148682530588729/6874326144970089583 : 230B17D359A37E6F PRP without proof (not generated)
2016-12-04	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-ECM	Factor: 6874326144970089583
2008-08-26	-Anonymous-	F-PM1	Factor: 148682530588729
2008-08-26	-Anonymous-	F	Factor: 5282780533033