10 531 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
96531463711	11	36.5	old
71971498324494906583	20	66.0	2008-08-29 02:24:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1292 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	894CBB391542D58F	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	894CBB391542D58F	2	3456	1	3
Verified	2020-04-17	Oliver Kruse	396F390FEB7EC3A9	2	5021	5	3
Verified	2024-07-01	kkmrkkblmbrbk	396F390FEB7EC3A9	2	8244	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-09	71971498324494906583	100000000000	120443211520241616

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10531/71971498324494906583/96531463711 : 396F390FEB7EC3A9 PRP: Verified PRP without proof (small exponent)
2022-11-09	Anton Repko	F-PM1	Factor: 71971498324494906583 / (P-1, B1=100000000000, B2=120443211520241610)
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10531/96531463711/71971498324494906583 : 396F390FEB7EC3A9 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 71971498324494906583