8 171 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
800759	6	19.6	old
9412993	7	23.2	old
1089700903	10	30.0	old
24625013322121973857347433596788858969	38	124.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6537 / 9201

Estimated T-Level: 43.6 ⓘ

TF below 2^140 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	0952CDBFFC2AB817	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0952CDBFFC2AB817	4	0	1	3
Verified	2017-12-07	ATH	0952CDBFFC2AB817	4	5911	1	3
Verified	2020-04-17	Oliver Kruse	06CF3916EC9A8923	4	1537	5	3
Verified	2024-07-01	kkmrkkblmbrbk	06CF3916EC9A8923	4	1896	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8171/1089700903/24625013322121973857347433596788858969/800759/9412993 : 06CF3916EC9A8923 PRP: Verified PRP without proof (small exponent)
2023-06-03	JacobZ	NF-PM1	B1=72000000000, B2=300970872589336950
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8171/800759/9412993/1089700903/24625013322121973857347433596788858969 : 06CF3916EC9A8923 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8171/800759/9412993/1089700903/24625013322121973857347433596788858969 : 0952CDBFFC2AB817 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8171/800759/9412993/1089700903/24625013322121973857347433596788858969 : 0952CDBFFC2AB817 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8171/known_factors : 0952CDBFFC2AB817 PRP without proof (not generated)