8 803 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
2834567	7	21.4	old
226906129	9	27.8	old
7563748873	10	32.8	old
46969500677689	14	45.4	old
33313873890927551552047	23	74.8	old
103569632893467926927132212127	30	96.4	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	2017-09-21	Oliver Kruse	BF831896FE026864	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BF831896FE026864	6	0	1	3
Verified	2017-12-07	ATH	BF831896FE026864	6	668	1	3
Verified	2020-04-17	Oliver Kruse	353B7904922BFE5E	6	370	5	3
Verified	2024-07-01	kkmrkkblmbrbk	353B7904922BFE5E	6	6118	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8803/103569632893467926927132212127/226906129/2834567/33313873890927551552047/46969500677689/7563748873 : 353B7904922BFE5E PRP: Verified PRP without proof (small exponent)
2023-08-06	JacobZ	NF-PM1	B1=66000000000, B2=254680416808818000
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	M8803/2834567/226906129/7563748873/46969500677689/33313873890927551552047/103569632893467926927132212127 : 353B7904922BFE5E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8803/2834567/226906129/7563748873/46969500677689/33313873890927551552047/103569632893467926927132212127 : BF831896FE026864 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8803/2834567/226906129/7563748873/46969500677689/33313873890927551552047/103569632893467926927132212127 : BF831896FE026864 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8803/known_factors : BF831896FE026864 PRP without proof (not generated)