7 159 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
26058761	8	24.6	old
17733263338727311199857	23	73.9	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	2712 / 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	3E26B62179B518DE	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	3E26B62179B518DE	2	2462	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2DA7771DCFFCDB6B	2	754	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	2DA7771DCFFCDB6B	2	1571	5	3

History

Date	User	Type	Result
2025-04-10	masser	NF-PP1	Start=146/31, B1=830000000, B2=829170000000
2025-03-21	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-14	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7159/26058761/17733263338727311199857 : 2DA7771DCFFCDB6B
2023-08-25	-anonymous-	NF-PM1	B1=34000000000, B2=142096338314180250
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7159/26058761/17733263338727311199857 : 2DA7771DCFFCDB6B
2017-10-12	kkmrkkblmbrbk	C-PRP	M7159/26058761/17733263338727311199857 : 3E26B62179B518DE
2017-09-21	Oliver Kruse	C-PRP	M7159/26058761/17733263338727311199857 : 3E26B62179B518DE
2017-09-21	Oliver Kruse	C-PRP	M7159/26058761/17733263338727311199857 : 3E26B62179B518DE