6 101 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
7906897	7	22.9	old
807711391	9	29.6	old
538433152079858810868529	24	78.8	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	10852 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	9F6EEAEDF1308242	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9F6EEAEDF1308242	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9F6EEAEDF1308242	3	4125	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4B72F409887A4FC0	3	575	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	4B72F409887A4FC0	3	6012	5	3

History

Date	User	Type	Result
2025-03-17	masser	NF-PP1	Start=168/47, B1=1000000000, B2=999000000000
2025-03-09	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-02-28	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6101/7906897/807711391/538433152079858810868529 : 4B72F409887A4FC0
2023-07-28	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6101/7906897/807711391/538433152079858810868529 : 4B72F409887A4FC0
2017-12-07	ATH	C-PRP	M6101/7906897/807711391/538433152079858810868529 : 9F6EEAEDF1308242
2017-10-02	kkmrkkblmbrbk	C-PRP	M6101/7906897/807711391/538433152079858810868529 : 9F6EEAEDF1308242
2017-09-21	Oliver Kruse	C-PRP	M6101/known_factors : 9F6EEAEDF1308242