293 453 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1169708987106481	16	50.1	old
183557027770532862517419511	27	87.2	2020-06-30 10:48:40
16073698923383808643629743207	29	93.7	2016-11-10 13:32:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	466 / 640

Estimated T-Level: 28.6 ⓘ

TF below 2^90 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	D1D58EED458EC70E	2	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	D1D58EED458EC70E	2	256874	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	D1D58EED458EC70E	2	54969	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0782D51B2053E424	2	243598	5	3
Verified	2020-07-01	Klaus Nordmann	0782D51B2053E424	3	177310	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-10	16073698923383808643629743207	5000000	40000000

History

Date	User	Type	Result
2020-07-01	Klaus Nordmann	C-PRP	M293453/1169708987106481/16073698923383808643629743207/183557027770532862517419511 : 0782D51B2053E424 PRP: Verified PRP without proof (small exponent)
2020-06-30	_p95holder_	F-ECM	Factor: 183557027770532862517419511 / (ECM curve 1, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M293453/1169708987106481/16073698923383808643629743207 : 0782D51B2053E424 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M293453/1169708987106481/16073698923383808643629743207 : D1D58EED458EC70E PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M293453/1169708987106481/16073698923383808643629743207 : D1D58EED458EC70E PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M293453/known_factors : D1D58EED458EC70E PRP without proof (not generated)
2016-11-10	kkmrkkblmbrbk	F-PM1	Factor: 16073698923383808643629743207 / (P-1, B1=5000000, B2=40000000, E=12)