5 573 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
194068767222503	15	47.5	old
278609892044119	15	48.0	old
41382017328569838736935649	26	85.1	old
7458091889373073677904656040494375017056988143	46	152.4	2020-11-14 13:52:48

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	11130 / 16550

Estimated T-Level: 48.4 ⓘ

TF below 2^156 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	F9415FA199AA99D1	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F9415FA199AA99D1	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	F9415FA199AA99D1	3	3100	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	42AB50688172907A	3	280	5	3
Verified	No proof (small exponent)	2020-11-14	mrh	42AB50688172907A	4	877	5	3

History

Date	User	Type	Result
2025-05-17	masser	NF-PP1	Start=170/37, B1=2100000000, B2=2097900000000
2023-07-14	-anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-11-14	mrh	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649/7458091889373073677904656040494375017056988143 : 42AB50688172907A
2020-11-14	Ryan Propper	F-ECM	Factor: 7458091889373073677904656040494375017056988143
2020-04-17	Oliver Kruse	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : 42AB50688172907A
2017-12-07	ATH	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : F9415FA199AA99D1
2017-10-02	kkmrkkblmbrbk	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : F9415FA199AA99D1
2017-09-21	Oliver Kruse	C-PRP	M5573/known_factors : F9415FA199AA99D1
1999-04-23	-anonymous-	F-PM1	Factor: 194068767222503