8 573 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
12345121	8	23.6	old
12254091887	11	33.5	old
21973130527	11	34.4	old
64052833558423	14	45.9	old
79764519978606583742551	23	76.1	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	5613 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	C1A3EC701049A16C	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C1A3EC701049A16C	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C1A3EC701049A16C	5	5352	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3F75ABA92AD181D6	5	487	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3F75ABA92AD181D6	5	6516	5	3

History

Date	User	Type	Result
2025-05-08	masser	NF-PP1	Start=196/37, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8573/12254091887/12345121/21973130527/64052833558423/79764519978606583742551 : 3F75ABA92AD181D6
2023-08-17	JacobZ	NF-PM1	B1=68000000000, 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	M8573/12345121/12254091887/21973130527/64052833558423/79764519978606583742551 : 3F75ABA92AD181D6
2017-12-07	ATH	C-PRP	M8573/12345121/12254091887/21973130527/64052833558423/79764519978606583742551 : C1A3EC701049A16C
2017-10-02	kkmrkkblmbrbk	C-PRP	M8573/12345121/12254091887/21973130527/64052833558423/79764519978606583742551 : C1A3EC701049A16C
2017-09-21	Oliver Kruse	C-PRP	M8573/known_factors : C1A3EC701049A16C
1999-10-07	Alex Kruppa	F-ECM	Factor: 79764519978606583742551
1999-10-07	Alex Kruppa	F	Factor: 21636999872857469560600759499595505544617