73 517 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
776807794560645480839	21	69.4	old
9048796280591257584391	22	72.9	2011-01-20 17:33:02
54533050567178802017153	23	75.5	2008-08-26 20:09:23
186640938764180046676560721872359741617	39	127.1	2022-04-11 01:59:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1207 / 1566

Estimated T-Level: 33.9 ⓘ

TF below 2^107 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	DF951FFE4AB51DEA	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DF951FFE4AB51DEA	3	0	1	3
Verified (Factored)	2017-12-07	ATH	DF951FFE4AB51DEA	3	485	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B97902413BCB7898	3	12692	5	3
Verified	2022-04-11	George Woltman	B97902413BCB7898	4	51208	5	3
Verified	2022-04-11	Denial140	B97902413BCB7898	4	32519	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-11	186640938764180046676560721872359741617	1000000000	91779340773120

History

Date	User	Type	Result
2024-02-02	masser	NF-PP1	Start=94/23, B1=25000000, B2=1775000000
2024-01-31	masser	NF-PP1	Start=6/5, B1=25000000, B2=1775000000
2024-01-31	masser	NF-PP1	Start=2/7, B1=25000000, B2=1775000000
2022-04-11	Denial140	C-PRP	M73517/776807794560645480839/9048796280591257584391/54533050567178802017153/186640938764180046676560721872359741617 : B97902413BCB7898 PRP: Verified PRP without proof (small exponent)
2022-04-11	George Woltman	C-PRP	M73517/776807794560645480839/9048796280591257584391/54533050567178802017153/186640938764180046676560721872359741617 : B97902413BCB7898 PRP: Verified PRP without proof (small exponent)
2022-04-11	George Woltman	F-PM1	Factor: 186640938764180046676560721872359741617 / (P-1, B1=1000000000, B2=91779340773120)
2020-04-17	Oliver Kruse	C-PRP	M73517/776807794560645480839/9048796280591257584391/54533050567178802017153 : B97902413BCB7898 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M73517/776807794560645480839/9048796280591257584391/54533050567178802017153 : DF951FFE4AB51DEA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M73517/776807794560645480839/9048796280591257584391/54533050567178802017153 : DF951FFE4AB51DEA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M73517/known_factors : DF951FFE4AB51DEA PRP without proof (not generated)
2016-11-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-01-20	James Hintz	F-ECM	Factor: 9048796280591257584391
2008-08-26	-Anonymous-	F-ECM	Factor: 54533050567178802017153