235 439 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
86641553	8	26.4	old
2920076497930595328442759	25	81.3	2017-04-28 17:35:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	176 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	BCAF7C2F1F0E98C1	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	BCAF7C2F1F0E98C1	2	174600	1	3
Verified	2020-04-17	Oliver Kruse	DE24CECDEFA7F4DB	2	224578	5	3
Verified	2024-02-03	Wentao Huang	DE24CECDEFA7F4DB	2	199119	5	3

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M235439/86641553/2920076497930595328442759 : DE24CECDEFA7F4DB PRP proof power = 5 PRP: Verified Proof certified good
2022-03-31	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2021-07-07	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M235439/86641553/2920076497930595328442759 : DE24CECDEFA7F4DB PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M235439/86641553/2920076497930595328442759 : BCAF7C2F1F0E98C1 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M235439/86641553/2920076497930595328442759 : BCAF7C2F1F0E98C1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M235439/86641553/2920076497930595328442759 : BCAF7C2F1F0E98C1 PRP without proof (not generated)
2017-04-28	TJAOI	F-ECM	Factor: 2920076497930595328442759 / (ECM curve 16, B1=250000, B2=25000000)