8 863 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
78467399430391921	17	56.1	old
1478294794396735018732598369235782617	37	120.2	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	10831 / 16550

Estimated T-Level: 48.3 ⓘ

TF below 2^155 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	AFA6F4ADD2AA2035	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	AFA6F4ADD2AA2035	2	0	1	3
Verified	2017-12-07	ATH	AFA6F4ADD2AA2035	2	1413	1	3
Verified	2020-04-17	Oliver Kruse	BDE97F4599A8D671	2	1517	5	3
Verified	2024-07-01	kkmrkkblmbrbk	BDE97F4599A8D671	2	7809	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8863/1478294794396735018732598369235782617/78467399430391921 : BDE97F4599A8D671 PRP: Verified PRP without proof (small exponent)
2023-08-03	JacobZ	NF-PM1	B1=66000000000, B2=254680416808818000
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8863/78467399430391921/1478294794396735018732598369235782617 : BDE97F4599A8D671 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8863/78467399430391921/1478294794396735018732598369235782617 : AFA6F4ADD2AA2035 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8863/78467399430391921/1478294794396735018732598369235782617 : AFA6F4ADD2AA2035 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8863/known_factors : AFA6F4ADD2AA2035 PRP without proof (not generated)