6 563 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
13127	5	13.7	old
26777041	8	24.7	old
179209279	9	27.4	old
34128597577	11	35.0	old
365173451932931193637049	24	78.3	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	2822 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	4F8527DA4EDB1CC4	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4F8527DA4EDB1CC4	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4F8527DA4EDB1CC4	5	78	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8DDF1279A0DEA02E	5	4123	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	8DDF1279A0DEA02E	1	3245	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	8DDF1279A0DEA02E	5	3851	5	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=172/17, B1=1000000000, B2=999000000000
2025-03-12	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6563/13127/26777041/179209279/34128597577/365173451932931193637049 : 8DDF1279A0DEA02E
2023-08-09	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2022-05-12	Jorge Coveiro	C-PRP	M6563/13127 : 8DDF1279A0DEA02E
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	M6563/13127/26777041/179209279/34128597577/365173451932931193637049 : 8DDF1279A0DEA02E
2017-12-07	ATH	C-PRP	M6563/13127/26777041/179209279/34128597577/365173451932931193637049 : 4F8527DA4EDB1CC4
2017-10-02	kkmrkkblmbrbk	C-PRP	M6563/13127/26777041/179209279/34128597577/365173451932931193637049 : 4F8527DA4EDB1CC4
2017-09-21	Oliver Kruse	C-PRP	M6563/known_factors : 4F8527DA4EDB1CC4