10 903 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
40668191	8	25.3	old
172435994691723738676913111423258641	36	117.1	2015-04-13 22:35:26

P-1 factors

Date	Factors	B1	B2
2022-12-29	No new factors discovered	100000000000	122192573512709696

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	2496 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	3A0C513B5C818798	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3A0C513B5C818798	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	3A0C513B5C818798	2	10349	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	276F645F30DA5227	2	1590	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	276F645F30DA5227	2	8580	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=79/53, B1=640000000, B2=639360000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10903/172435994691723738676913111423258641/40668191 : 276F645F30DA5227
2022-12-29	-anonymous-	F-PM1	Factor: 172435994691723738676913111423258641 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10903/40668191/172435994691723738676913111423258641 : 276F645F30DA5227
2017-10-12	kkmrkkblmbrbk	C-PRP	M10903/40668191/172435994691723738676913111423258641 : 3A0C513B5C818798
2017-10-02	kkmrkkblmbrbk	C-PRP	M10903/40668191/172435994691723738676913111423258641 : 3A0C513B5C818798
2017-09-21	Oliver Kruse	C-PRP	M10903/40668191/172435994691723738676913111423258641 : 3A0C513B5C818798
2017-09-21	Oliver Kruse	C-PRP	M10903/40668191/172435994691723738676913111423258641 : 3A0C513B5C818798
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12