7 573 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
45439	5	15.5	old
66397756052521	14	45.9	old
363484895731261618033	21	68.3	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	8230 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	B484F6C23D94FCEF	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B484F6C23D94FCEF	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B484F6C23D94FCEF	3	6552	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	68B4DA2A7154AE71	3	2418	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	68B4DA2A7154AE71	3	4109	5	3

History

Date	User	Type	Result
2025-04-07	masser	NF-PP1	Start=110/53, B1=830000000, B2=829170000000
2025-03-28	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-18	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-09	yuriy_5-1	NF-PM1	B1=12000000000, B2=28109516288023170
2024-02-03	Wentao Huang	C-PRP	M7573/45439/66397756052521/363484895731261618033 : 68B4DA2A7154AE71
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7573/45439/66397756052521/363484895731261618033 : 68B4DA2A7154AE71
2017-12-07	ATH	C-PRP	M7573/45439/66397756052521/363484895731261618033 : B484F6C23D94FCEF
2017-10-02	kkmrkkblmbrbk	C-PRP	M7573/45439/66397756052521/363484895731261618033 : B484F6C23D94FCEF
2017-09-21	Oliver Kruse	C-PRP	M7573/known_factors : B484F6C23D94FCEF