89 371 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
5378883007	10	32.3	old
42372236765297	14	45.3	2008-08-26 20:11:34
128654101696481	15	46.9	2008-08-26 20:11:34
1855988172560359801985383	25	80.6	2014-09-10 05:18:35
860960473693052324681551668649	30	99.4	2016-11-29 08:00:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	733 / 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	2017-09-21	Oliver Kruse	FD267A6487227A88	5	0	1	3
Verified	2017-09-21	Oliver Kruse	FD267A6487227A88	5	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	FD267A6487227A88	5	38777	1	3
Verified	2020-04-17	Oliver Kruse	BE1957BF2F339138	5	62961	5	3
Verified	2024-02-03	Wentao Huang	BE1957BF2F339138	5	76009	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-29	860960473693052324681551668649	100000000	0

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M89371/5378883007/42372236765297/128654101696481/1855988172560359801985383/860960473693052324681551668649 : BE1957BF2F339138 PRP: Verified PRP without proof (small exponent)
2024-01-21	masser	NF-PP1	Start=75/61, B1=52000000, B2=2756000000
2024-01-19	masser	NF-PP1	Start=6/5, B1=26000000, B2=1378000000
2024-01-17	masser	NF-PP1	Start=2/7, B1=13000000, B2=689000000
2022-06-19	George Woltman	NF-PM1	B1=1000000000, B2=70552596864750
2022-06-12	George Woltman	NF-PM1	B1=1000000000
2020-04-17	Oliver Kruse	C-PRP	M89371/5378883007/42372236765297/128654101696481/1855988172560359801985383/860960473693052324681551668649 : BE1957BF2F339138 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M89371/5378883007/42372236765297/128654101696481/1855988172560359801985383/860960473693052324681551668649 : FD267A6487227A88 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M89371/5378883007/42372236765297/128654101696481/1855988172560359801985383/860960473693052324681551668649 : FD267A6487227A88 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M89371/5378883007/42372236765297/128654101696481/1855988172560359801985383/860960473693052324681551668649 : FD267A6487227A88 PRP without proof (not generated)
2016-11-29	kkmrkkblmbrbk	F-PM1	Factor: 860960473693052324681551668649 / (P-1, B1=100000000)
2014-09-10	James Hintz	F-ECM	Factor: 1855988172560359801985383 / (ECM curve 77, B1=50000, B2=5000000)
2008-08-26	-Anonymous-	F	Factor: 128654101696481
2008-08-26	-Anonymous-	F	Factor: 42372236765297