10 253 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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

P-1 factors

Date	Factors	B1	B2
2022-04-02	No new factors discovered	10000000000	1011837229839506048
2022-04-02	No new factors discovered	100000000000	121968084023145360

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	3355 / 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	2B9BEA1BF6A68DD2	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2B9BEA1BF6A68DD2	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2B9BEA1BF6A68DD2	4	65	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9F46383B65276A97	4	8090	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9F46383B65276A97	4	8249	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=117/43, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10253/1293682529/154436234602144614973937/2001358374202475470393/3682319597044608312286867711087 : 9F46383B65276A97
2022-04-02	Anton Repko	F-PM1	Factor: 154436234602144614973937 / B1=10000000000, B2=1011837229839506070
2022-04-02	-anonymous-	F-PM1	Factor: 2001358374202475470393 / 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
2017-10-12	kkmrkkblmbrbk	C-PRP	M10253/1293682529/2001358374202475470393/154436234602144614973937/3682319597044608312286867711087 : 2B9BEA1BF6A68DD2
2017-10-02	kkmrkkblmbrbk	C-PRP	M10253/1293682529/2001358374202475470393/154436234602144614973937/3682319597044608312286867711087 : 2B9BEA1BF6A68DD2
2017-09-21	Oliver Kruse	C-PRP	M10253/known_factors : 2B9BEA1BF6A68DD2
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