5 501 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
693127	6	19.4	old
21904165851376144565407	23	74.2	old
86044957094280016860935273	26	86.2	old
124424631532117825221239927348589023	36	116.6	2016-09-29 21:51:44
343346573375622574754706623561440859371471	42	138.0	2016-12-26 13:27:47
65415180128805609009568160564780964941165849	44	145.6	2021-03-30 06:07:28

P-1 factors

Date	Factors	B1	B2
2016-12-26	343346573375622574754706623561440859371471	100000000000	0

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	10910 / 16550

Estimated T-Level: 48.3 ⓘ

TF below 2^155 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)	2017-09-20	kkmrkkblmbrbk	85E68AD0955138ED	5	0	1	3
Factored	No proof (small exponent)	2017-09-26	George Woltman	85E68AD0955138ED	5	4177	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	85E68AD0955138ED	5	0	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	CD785354A96ED9B6	5	933	5	3
Verified	No proof (small exponent)	2021-03-30	ATH	CD785354A96ED9B6	6	4415	5	3
Verified	No proof (small exponent)	2021-03-30	mnd9	CD785354A96ED9B6	6	2210	5	3

History

Date	User	Type	Result
2025-05-09	masser	NF-PP1	Start=125/71, B1=2100000000, B2=2097900000000
2023-07-11	-anonymous-	NF-PM1	B1=45000000000, B2=181125525847266000
2021-03-30	mnd9	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471/65415180128805609009568160564780964941165849 : CD785354A96ED9B6
2021-03-30	ATH	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471/65415180128805609009568160564780964941165849 : CD785354A96ED9B6
2021-03-30	Ryan Propper	F-ECM	Factor: 65415180128805609009568160564780964941165849
2020-04-17	Oliver Kruse	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471 : CD785354A96ED9B6
2017-10-02	kkmrkkblmbrbk	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471 : 85E68AD0955138ED
2017-09-26	George Woltman	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471 : 85E68AD0955138ED
2017-09-20	kkmrkkblmbrbk	C-PRP	M5501/693127/21904165851376144565407/86044957094280016860935273/124424631532117825221239927348589023/343346573375622574754706623561440859371471 : 85E68AD0955138ED
2016-12-26	kkmrkkblmbrbk	F-PM1	Factor: 343346573375622574754706623561440859371471 / B1=100000000000
2016-09-29	kkmrkkblmbrbk	F-ECM	Factor: 124424631532117825221239927348589023