is 2 332803 - 1
has 100184 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77728FE54121E3__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26789.283871.6418%131072131072000.00863.1703%89.292472.5408%0.8990%
PrimeNet2400.000052.5000%34001000000.000116.1623%0.000160.1771%7.6771%
GPU722440.000056.8182%60001700000.000211.9591%0.000261.9823%5.1641%
Difference+23+89.2838+14.8236%+125072+12937200+0.0085-8.7888%+89.2923+10.5585%+10.5585%

Known prime factors (2 factors, 157.8 bits, 0.04740715% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3328032403424343196780730572167.704361088142714576
24 × 32 × 31 × 80888920859
2014-06-053180888920859105.1545.44284.872
33280312983784610785884357499733212890.0691950671209512216590220
22 × 3 × 5 × 32511186825203609837
2007-08-14532511186825203609837812,138,1001.826e+103.411e+10

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33280331205544000386533446871742838631863589643891229748157.772
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-24T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.405%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.635%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.338%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.170%
2006-01-15T00:00:00Jocelyn Larouchev4_computers332803332803---0.003--1.269%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:37LordJuliusManual testing254255--0.007--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.029--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.058--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.115--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.644 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.644 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002782.129
250000250000001445.515


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers77728FE54121E3__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T20:40:47Oliver KruseOllaptopF094CA76066A27__?
2017-09-23T17:10:55Oliver KruseManual testingF094CA76066A27__?
2017-10-13T02:43:02Oliver KruseGTX-2F094CA76066A27__no
2017-12-12T14:30:01ATHxps
240342434319678073057
1298378461078588435749973321
F094CA76066A27__no
2020-04-18T15:10:00Oliver KruseAddPrpType5
240342434319678073057
1298378461078588435749973321
F4449C75F7E4BC__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 332803 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T06:36:37+00:00