10 531 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
96531463711	11	36.5	old
71971498324494906583	20	66.0	2008-08-29 02:24:26

P-1 factors

Date	Factors	B1	B2
2022-11-09	No new factors discovered	100000000000	120443211520241616

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	3289 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	894CBB391542D58F	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	894CBB391542D58F	2	3456	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	396F390FEB7EC3A9	2	5021	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	396F390FEB7EC3A9	2	8244	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=84/59, B1=640000000, B2=639360000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10531/71971498324494906583/96531463711 : 396F390FEB7EC3A9
2022-11-09	Anton Repko	F-PM1	Factor: 71971498324494906583 / 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
2017-10-12	kkmrkkblmbrbk	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F
2017-09-21	Oliver Kruse	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F
2017-09-21	Oliver Kruse	C-PRP	M10531/96531463711/71971498324494906583 : 894CBB391542D58F
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 71971498324494906583