10 499 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
14028847793	11	33.7	old
7487421318456799	16	52.7	2008-08-26 19:58:31
102114409566327481880735124523903	33	106.3	2008-10-16 23:57:25
141301110944447039081066995164119	33	106.8	2010-02-01 03:58:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 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	65FD9AEEC0190ED6	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	65FD9AEEC0190ED6	4	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	65FD9AEEC0190ED6	4	6400	1	3
Verified	2020-04-17	Oliver Kruse	70A96FD54C71F3E7	4	9667	5	3
Verified	2024-07-01	kkmrkkblmbrbk	70A96FD54C71F3E7	4	2984	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10499/102114409566327481880735124523903/14028847793/141301110944447039081066995164119/7487421318456799 : 70A96FD54C71F3E7 PRP: Verified PRP without proof (small exponent)
2022-11-09	-Anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10499/14028847793/7487421318456799/102114409566327481880735124523903/141301110944447039081066995164119 : 70A96FD54C71F3E7 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10499/14028847793/7487421318456799/102114409566327481880735124523903/141301110944447039081066995164119 : 65FD9AEEC0190ED6 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10499/14028847793/7487421318456799/102114409566327481880735124523903/141301110944447039081066995164119 : 65FD9AEEC0190ED6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10499/known_factors : 65FD9AEEC0190ED6 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-02-01	Matthias Wurtinger	F-ECM	Factor: 141301110944447039081066995164119
2008-10-16	-Anonymous-	F-ECM	Factor: 102114409566327481880735124523903
2008-08-26	-Anonymous-	F-PM1	Factor: 7487421318456799