is 2 506171 - 1
has 152373 decimal digits
takes 0.007 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB0BA348B550008__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26758.703371.6418%100000008300000001.156210.7301%59.859574.6846%3.0429%
PrimeNet2400.000052.5000%50001700000.000319.1283%0.000361.5859%9.0859%
GPU722440.000056.8182%90002800000.000514.3785%0.000563.0271%6.2089%
Difference+23+58.7033+14.8236%+9991000+829720000+1.1557-3.6485%+59.8590+11.6576%+11.6576%

Known prime factors (1 factor, 75.6 bits, 0.01493199% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
506171565289434370836170600232375.58155839769007987041
7 × 11 × 17 × 123677 × 344917337
2008-01-1112367734491733728,4710.39980.7422

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.502%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.762%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.500%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.366%
2016-03-16T12:40:45alpertronManual testing15000005000000012---0.088--6.107%
2021-05-18T17:43:55gLaussManual testing10000000830000000-
skipped known factor: 56528943437083617060023
--1.156--10.730%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-18T17:43:55gLaussManual testing500000036500000027--0.458


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-01T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T07:41:58LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.019--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.038--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.076--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.049 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.049 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002794.482
2500002500000014411.57


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07T00:00:00ANONYMOUSv4_computersB0BA348B550008__0.007


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:32:22Oliver KruseGTX-2
56528943437083617060023
32DA7A0FCA82EC__no
2017-09-28T09:42:21Oliver KruseManual testing
56528943437083617060023
32DA7A0FCA82EC__no
2017-11-09T04:46:07kkmrkkblmbrbkc4.large
56528943437083617060023
32DA7A0FCA82EC__no
2020-04-19T00:22:26Oliver KruseAddPrpType5
56528943437083617060023
6E1250668E07B1__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T07:41:58+00:00