10 253 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
1293682529	10	30.3	old
2001358374202475470393	22	70.8	2008-08-29 02:24:25
154436234602144614973937	24	77.0	2008-08-29 02:24:25
3682319597044608312286867711087	31	101.5	2008-10-16 23:57:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1554 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	2B9BEA1BF6A68DD2	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2B9BEA1BF6A68DD2	4	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	2B9BEA1BF6A68DD2	4	65	1	3
Verified	2020-04-17	Oliver Kruse	9F46383B65276A97	4	8090	5	3
Verified	2024-07-01	kkmrkkblmbrbk	9F46383B65276A97	4	8249	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-02	2001358374202475470393	100000000000	121968084023145360
2022-04-02	154436234602144614973937	10000000000	1011837229839506048

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10253/1293682529/154436234602144614973937/2001358374202475470393/3682319597044608312286867711087 : 9F46383B65276A97 PRP: Verified PRP without proof (small exponent)
2022-04-02	Anton Repko	F-PM1	Factor: 154436234602144614973937 / (P-1, B1=10000000000, B2=1011837229839506070)
2022-04-02	-Anonymous-	F-PM1	Factor: 2001358374202475470393 / (P-1, B1=100000000000, B2=121968084023145360)
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10253/1293682529/2001358374202475470393/154436234602144614973937/3682319597044608312286867711087 : 9F46383B65276A97 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10253/1293682529/2001358374202475470393/154436234602144614973937/3682319597044608312286867711087 : 2B9BEA1BF6A68DD2 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10253/1293682529/2001358374202475470393/154436234602144614973937/3682319597044608312286867711087 : 2B9BEA1BF6A68DD2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10253/known_factors : 2B9BEA1BF6A68DD2 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 3682319597044608312286867711087
2008-08-29	-Anonymous-	F-ECM	Factor: 154436234602144614973937
2008-08-29	-Anonymous-	F-ECM	Factor: 2001358374202475470393