8 761 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
192743	6	17.6	old
21086064775471	14	44.3	old
27521653946472839	17	54.6	old
252738375533197927	18	57.8	old
978770943064293241	18	59.8	old
741360813207419388145717037710039122529073	42	139.1	2018-06-05 09:17:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	9517 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	75966DB271953286	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	75966DB271953286	5	0	1	3
Verified (Factored)	2017-12-07	ATH	75966DB271953286	5	4677	1	3
Verified	2018-06-05	ATH	0AF394F4D3633CEA	6	7190	5	3
Verified	2018-06-05	kkmrkkblmbrbk	0AF394F4D3633CEA	6	5783	5	3

History

Date	User	Type	Result
2023-08-07	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2018-06-05	kkmrkkblmbrbk	C-PRP	M8761/192743/21086064775471/27521653946472839/252738375533197927/978770943064293241/741360813207419388145717037710039122529073 : 0AF394F4D3633CEA PRP: Verified PRP without proof (small exponent)
2018-06-05	ATH	C-PRP	M8761/192743/21086064775471/27521653946472839/252738375533197927/978770943064293241/741360813207419388145717037710039122529073 : 0AF394F4D3633CEA PRP: Verified PRP without proof (small exponent)
2018-06-05	James Hintz	F-ECM	Factor: 741360813207419388145717037710039122529073 / (ECM curve 702, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M8761/192743/21086064775471/27521653946472839/252738375533197927/978770943064293241 : 75966DB271953286 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8761/192743/21086064775471/27521653946472839/252738375533197927/978770943064293241 : 75966DB271953286 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8761/known_factors : 75966DB271953286 PRP without proof (not generated)