is 2 2733329 - 1
has 822815 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB09575A5B13DC828double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.871067.1642%300003000000.00501.2650%10.876067.5796%0.4154%
PrimeNet2590.028162.7119%120002200000.00262.8493%0.030763.7743%1.0625%
GPU722630.583965.0794%140002400000.00291.7070%0.586965.6755%0.5961%
Difference+4+10.2871+2.0848%+16000+60000+0.0021-0.4420%+10.2891+1.9041%+1.9041%

Known prime factors (2 factors, 143.0 bits, 0.00523118% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27333292463136776282871170012167.73945057451486500
22 × 33 × 53 × 11353 × 293983
2019-05-171135329398321.2390.00300.0034
2733329448118648608509214701772375.2468197305348322672
24 × 48571 × 10548096277
2009-03-1348571105480962775,485.164.366120.21

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27333291103777523525800119701998619298075973117917744142.985
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.298%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.932%
2019-05-17T04:41:24Jocelyn LaroucheManual testing300003000002167.7390.0050.4220.0101.265%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.028--
2022-03-11T04:28:57LordJuliusManual testing21260--0.056--
2009-01-28T10:24:00Sturle Sundeiago.ifi260261--0.056--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersB09575A5B13DC8280.211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-20T04:37:48Oliver KruseGTX-3
44811864860850921470177
32B5F76886C0F0__no
2017-12-05T09:21:39kkmrkkblmbrbkc4.xlarge
44811864860850921470177
32B5F76886C0F0__no
2019-05-18T03:15:19Daniil Tsarkovtsar1
246313677628287117001
44811864860850921470177
32B5F76886C0F0BDno


P-1 factor-bounds graph:
B1 = 30000, B2 = 300000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-11T04:28:57+00:00