263 513 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
1581079	7	20.6	old
202981954575427026876371790948929	33	107.3	2016-05-06 09:23:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	600 / 640

Estimated T-Level: 29.7 ⓘ

TF below 2^94 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	74EC6477E8D3B31A	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	74EC6477E8D3B31A	2	30373	1	3
Verified	2020-04-17	Oliver Kruse	F69FC02B1E1910A3	2	175918	5	3
Verified	2024-07-30	kkmrkkblmbrbk	F69FC02B1E1910A3	2	16253	5	3

History

Date	User	Type	Result
2024-10-18	yuriy_5-1	NF-PM1	B1=24243196, B2=5915482552980
2024-07-30	infinigon	CERT	PRP Certification Proof certified good
2024-07-30	kkmrkkblmbrbk	C-PRP	M263513/1581079/202981954575427026876371790948929 : F69FC02B1E1910A3 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-05	Joss	NF-PM1	B1=1000000, B2=11098637550
2022-01-03	Lisander Viaene	NF-PM1	B1=100000
2020-04-17	Oliver Kruse	C-PRP	M263513/1581079/202981954575427026876371790948929 : F69FC02B1E1910A3 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M263513/1581079/202981954575427026876371790948929 : 74EC6477E8D3B31A PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M263513/known_factors : 74EC6477E8D3B31A PRP without proof (not generated)
2016-05-06	TJAOI	F-ECM	Factor: 202981954575427026876371790948929 / (ECM curve 25, B1=50000, B2=5000000)