7 001 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
39107810033	11	35.2	old
43688272942083813249751	23	75.2	old
23941313796652511915242297729	29	94.3	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	2766 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	23F70C45D224AA70	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	23F70C45D224AA70	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	23F70C45D224AA70	3	5910	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F8B9C1CFB2B387A0	3	3153	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F8B9C1CFB2B387A0	3	3851	5	3

History

Date	User	Type	Result
2025-03-25	masser	NF-PP1	Start=106/43, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M7001/39107810033/43688272942083813249751/23941313796652511915242297729 : F8B9C1CFB2B387A0
2023-08-22	-anonymous-	NF-PM1	B1=35000000000, B2=143589103727719650
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7001/39107810033/43688272942083813249751/23941313796652511915242297729 : F8B9C1CFB2B387A0
2017-12-07	ATH	C-PRP	M7001/39107810033/43688272942083813249751/23941313796652511915242297729 : 23F70C45D224AA70
2017-10-02	kkmrkkblmbrbk	C-PRP	M7001/39107810033/43688272942083813249751/23941313796652511915242297729 : 23F70C45D224AA70
2017-09-21	Oliver Kruse	C-PRP	M7001/known_factors : 23F70C45D224AA70