9 811 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
7770313	7	22.9	old
3219866772439	13	41.6	old
33095956708798297	17	54.9	old
56359133864830127	17	55.6	old
384438101927996319709178028450440287	36	118.2	old
845650586552206674679458588817699610674825513	45	149.2	2023-06-15 14:58:35

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	6719 / 16550

Estimated T-Level: 47.0 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	CA4BFD32488EF0E5	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	CA4BFD32488EF0E5	5	0	1	3
Verified (Factored)	2017-12-07	ATH	CA4BFD32488EF0E5	5	2939	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	AE6B2238E1201473	5	3078	5	3
Verified	2023-06-15	JacobZ	AE6B2238E1201473	6	8208	5	3

P-1 factors

Date	Factor	B1	B2
2023-06-15	845650586552206674679458588817699610674825513	59000000000	250256095608669152

History

Date	User	Type	Result
2023-06-15	JacobZ	C-PRP	M9811/7770313/3219866772439/33095956708798297/56359133864830127/384438101927996319709178028450440287/845650586552206674679458588817699610674825513 : AE6B2238E1201473 PRP: Verified PRP without proof (small exponent)
2023-06-15	JacobZ	F-PM1	Factor: 845650586552206674679458588817699610674825513 / (P-1, B1=59000000000, B2=250256095608669150)
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	M9811/7770313/3219866772439/33095956708798297/56359133864830127/384438101927996319709178028450440287 : AE6B2238E1201473 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9811/7770313/3219866772439/33095956708798297/56359133864830127/384438101927996319709178028450440287 : CA4BFD32488EF0E5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9811/7770313/3219866772439/33095956708798297/56359133864830127/384438101927996319709178028450440287 : CA4BFD32488EF0E5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9811/known_factors : CA4BFD32488EF0E5 PRP without proof (not generated)