259 783 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1936478064783035963929	22	70.7	2014-09-26 12:12:28
10513272069104555222977041071	29	93.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	590 / 640

Estimated T-Level: 29.6 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	CAC2ACABDCBC06FE	2	0	1	3
Verified	2017-10-12	Oliver Kruse	CAC2ACABDCBC06FE	2	26145	1	3
Verified	2017-11-06	kkmrkkblmbrbk	CAC2ACABDCBC06FE	2	197575	1	3
Verified	2020-04-17	Oliver Kruse	0AA504100052E2E4	2	148901	5	3
Verified	2024-07-27	kkmrkkblmbrbk	0AA504100052E2E4	2	183415	5	3

History

Date	User	Type	Result
2024-07-27	Jon Pace	CERT	PRP Certification Proof certified good
2024-07-27	kkmrkkblmbrbk	C-PRP	M259783/1936478064783035963929/10513272069104555222977041071 : 0AA504100052E2E4 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-02	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-10	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M259783/1936478064783035963929/10513272069104555222977041071 : 0AA504100052E2E4 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M259783/1936478064783035963929/10513272069104555222977041071 : CAC2ACABDCBC06FE PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M259783/10513272069104555222977041071/1936478064783035963929 : CAC2ACABDCBC06FE PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M259783/known_factors : CAC2ACABDCBC06FE PRP without proof (not generated)
2014-09-26	TJAOI	F-ECM	Factor: 1936478064783035963929 / (ECM curve 18, B1=50000, B2=5000000)