83 689 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
334756001	9	28.3	old
765247941261493008721	21	69.4	2010-02-15 15:04:55
21455214987743602347919644675529	32	104.1	2017-02-28 02:48:44
1613131819965351478176699683891521	34	110.3	2022-05-15 02:40:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	712 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 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	2F879B1CF1158AD7	3	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	2F879B1CF1158AD7	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	2F879B1CF1158AD7	3	51802	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	9202019F379D4456	3	78950	5	3
Verified	2022-05-15	George Woltman	9202019F379D4456	4	23984	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-15	1613131819965351478176699683891521	1000000000	80847776359350

History

Date	User	Type	Result
2024-01-30	masser	NF-PP1	Start=96/19, B1=25000000, B2=1475000000
2024-01-29	masser	NF-PP1	Start=6/5, B1=25000000, B2=1475000000
2024-01-29	masser	NF-PP1	Start=2/7, B1=25000000, B2=1475000000
2022-05-15	George Woltman	C-PRP	M83689/334756001/765247941261493008721/21455214987743602347919644675529/1613131819965351478176699683891521 : 9202019F379D4456 PRP: Verified PRP without proof (small exponent)
2022-05-15	George Woltman	F-PM1	Factor: 1613131819965351478176699683891521 / (P-1, B1=1000000000, B2=80847776359350)
2020-04-17	Oliver Kruse	C-PRP	M83689/334756001/765247941261493008721/21455214987743602347919644675529 : 9202019F379D4456 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M83689/334756001/765247941261493008721/21455214987743602347919644675529 : 2F879B1CF1158AD7 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M83689/334756001/765247941261493008721/21455214987743602347919644675529 : 2F879B1CF1158AD7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M83689/334756001/765247941261493008721/21455214987743602347919644675529 : 2F879B1CF1158AD7 PRP without proof (not generated)
2017-02-28	kkmrkkblmbrbk	F-ECM	Factor: 21455214987743602347919644675529 / (ECM curve 289, B1=250000, B2=25000000)
2016-11-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-15	-Anonymous-	F-ECM	Factor: 765247941261493008721