5 573 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

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	5577 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	F9415FA199AA99D1	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F9415FA199AA99D1	3	0	1	3
Verified (Factored)	2017-12-07	ATH	F9415FA199AA99D1	3	3100	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	42AB50688172907A	3	280	5	3
Verified	2020-11-14	mrh	42AB50688172907A	4	877	5	3

History

Date	User	Type	Result
2023-07-14	-Anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2021-12-16	Lisander Viaene	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 PRP: Verified PRP without proof (small exponent)
2020-11-14	Ryan Propper	F-ECM	Factor: 7458091889373073677904656040494375017056988143 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=7406767318490153761)
2020-04-17	Oliver Kruse	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : 42AB50688172907A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : F9415FA199AA99D1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5573/194068767222503/278609892044119/41382017328569838736935649 : F9415FA199AA99D1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5573/known_factors : F9415FA199AA99D1 PRP without proof (not generated)