86 357 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
7272641113	10	32.8	old
9520753549033	13	43.1	2008-08-26 20:11:29
259881655093679	15	47.9	2009-07-15 00:49:29
50819057279242256622939511	26	85.4	2011-04-14 22:20:09
16286585428543429429452300421838035841	38	123.6	2016-11-17 00:22:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	532 / 1566

Estimated T-Level: 31.7 ⓘ

TF below 2^100 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	2A047C559572967C	5	0	1	3
Verified	2017-09-21	Oliver Kruse	2A047C559572967C	5	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	2A047C559572967C	5	32382	1	3
Verified	2020-04-17	Oliver Kruse	062DD950C3126694	5	54450	5	3
Verified	2024-02-03	Wentao Huang	062DD950C3126694	5	68966	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-17	16286585428543429429452300421838035841	100000000	2000000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M86357/7272641113/9520753549033/259881655093679/50819057279242256622939511/16286585428543429429452300421838035841 : 062DD950C3126694 PRP: Verified PRP without proof (small exponent)
2024-01-21	masser	NF-PP1	Start=159/17, B1=52000000, B2=2756000000
2024-01-18	masser	NF-PP1	Start=6/5, B1=26000000, B2=1378000000
2024-01-16	masser	NF-PP1	Start=2/7, B1=13000000, B2=689000000
2022-05-31	George Woltman	NF-PM1	B1=1000000000, B2=72040539520950
2022-05-22	George Woltman	NF-PM1	B1=1000000000
2020-04-17	Oliver Kruse	C-PRP	M86357/7272641113/9520753549033/259881655093679/50819057279242256622939511/16286585428543429429452300421838035841 : 062DD950C3126694 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M86357/7272641113/9520753549033/259881655093679/50819057279242256622939511/16286585428543429429452300421838035841 : 2A047C559572967C PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M86357/7272641113/9520753549033/259881655093679/50819057279242256622939511/16286585428543429429452300421838035841 : 2A047C559572967C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M86357/7272641113/9520753549033/259881655093679/50819057279242256622939511/16286585428543429429452300421838035841 : 2A047C559572967C PRP without proof (not generated)
2016-11-17	kkmrkkblmbrbk	F-PM1	Factor: 16286585428543429429452300421838035841 / (P-1, B1=100000000, B2=2000000000, E=12)
2011-04-14	James Hintz	F-ECM	Factor: 50819057279242256622939511
2009-07-15	Matthias Wurtinger	F-ECM	Factor: 259881655093679
2008-08-26	-Anonymous-	F	Factor: 9520753549033