210 359 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
77697751862850961297	20	66.1	2007-08-21 21:05:59

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	399 / 1566

Estimated T-Level: 31.3 ⓘ

TF below 2^99 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	456561C7B0FDB202	1	0	1	3
Verified	2017-09-22	Oliver Kruse	456561C7B0FDB202	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	456561C7B0FDB202	1	14185	1	3
Verified	2020-04-17	Oliver Kruse	C84BCDAD72EC90A4	1	177385	5	3
Verified	2023-08-03	USAFSS	C84BCDAD72EC90A4	1	202625	5	3

History

Date	User	Type	Result
2023-08-03	Yeakomeister	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M210359/77697751862850961297 : C84BCDAD72EC90A4 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-17	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-11-29	fbaur	NF-PP1	Start=6/5, B1=150000000, B2=14250000000
2021-11-27	fbaur	NF-PP1	Start=2/7, B1=150000000, B2=14100000000
2021-05-17	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M210359/77697751862850961297 : C84BCDAD72EC90A4 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M210359/77697751862850961297 : 456561C7B0FDB202 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M210359/77697751862850961297 : 456561C7B0FDB202 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M210359/77697751862850961297 : 456561C7B0FDB202 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M210359/77697751862850961297 : 456561C7B0FDB202 PRP without proof (not generated)
2007-08-21	Chad Davis	F-ECM	Factor: 77697751862850961297