is 2 56386147 - 1
has 16973922 decimal digits
takes 119.507 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF2B8FA2E3B5A97A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27333.924064.3836%1000000200000006.25454.9113%40.178566.1328%
Target27333.924064.3836%40000010400000018.57574.0629%52.499765.8306%
Difference---+600000-84000000-12.3212+0.8484%-12.3212+0.3022%

Known prime factors (1 factor, 70.2 bits, 0.00012458% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5638614714014414260406775118232270.24712427178488013
257 × 6673 × 7246333		2018-06-26667372463336.76481.23272.2661

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-07ANONYMOUS690000690000---2.121--1.898%
2018-06-26Sid & AndyPterodactyl10000002000000062270.2476.254239.012.514.911%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-15ANONYMOUSv4_computers21253--2.12805e-5--
2000-01-19ANONYMOUSv4_computers21253--2.12805e-5--
2000-03-08ANONYMOUSv4_computers21254--4.25609e-5--
2000-06-11ANONYMOUSv4_computers21256--0.000--
2001-09-22ANONYMOUSv4_computers21257--0.000--
2002-09-29ANONYMOUSv4_computers21258--0.001--
2016-02-23Mark RoseManual testing258263--0.028--
2008-07-22Sturle Sundefoster.ifi263264--0.035--
2008-07-23Sturle Sundekrebs.ifi264265--0.066--
2008-07-24Sturle Sundekrebs.ifi265266--0.133--
2008-07-25Sturle Sundekrebs.ifi266267--0.265--
2010-02-04Sturle Sundekiwavi.ifi267268--0.530--
2011-04-19Games R USFamily_Mom268269--1.060--
2011-06-26XyzzyManual testing269270--2.120--
2011-11-11Aaron HavilandManual testing270271--4.241--
2011-11-11Aaron HavilandManual testing271272--8.482--
2016-01-09ANONYMOUSManual testing272273--16.96--


ECM factoring results:
No ECM results for M56386147


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2012-12-21Michael KennEdkar-VF2B8FA2E3B5A97A9119.5


PRP results:
No PRP results for M56386147


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 690000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00