8 273 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1042399	7	20.0	old
28062017	8	24.7	old
62014409	8	25.9	old
58965335525351	14	45.7	old
5967764427340016644604473	25	82.3	old

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	6889 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-27	Oliver Kruse	210D6EF53CDF8CDB	5	0	1	3
Verified	2017-10-09	Chang Chia-Tche	210D6EF53CDF8CDB	5	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	210D6EF53CDF8CDB	5	3711	1	3
Verified	2020-04-17	Oliver Kruse	26798C300DEE0A9C	5	6422	5	3
Verified	2024-07-01	kkmrkkblmbrbk	26798C300DEE0A9C	5	5840	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8273/1042399/28062017/58965335525351/5967764427340016644604473/62014409 : 26798C300DEE0A9C PRP: Verified PRP without proof (small exponent)
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8273/1042399/28062017/62014409/58965335525351/5967764427340016644604473 : 26798C300DEE0A9C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8273/1042399/28062017/62014409/58965335525351/5967764427340016644604473 : 210D6EF53CDF8CDB PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M8273/known_factors : 210D6EF53CDF8CDB PRP: Verified PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M8273/1042399/28062017/62014409/58965335525351/5967764427340016644604473 : 210D6EF53CDF8CDB PRP: Verified PRP without proof (not generated)
2017-09-25	Oliver Kruse	C-PRP	M8273/1042399/28062017/62014409/58965335525351/5967764427340016644604473 : 210D6EF53CDF8CDB PRP without proof (not generated)