is 2 807473 - 1
has 243074 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26736.798770.1493%100000008300000001.583411.1562%38.382073.4795%3.3302%
PrimeNet2400.000050.0000%70003000000.000722.3342%0.000761.1671%11.1671%
GPU722440.000054.5455%130005000000.001117.1363%0.001162.3347%7.7892%
Difference+23+36.7986+15.6038%+9987000+829500000+1.5823-5.9801%+38.3809+11.1448%-4.4590%

Known prime factors (3 factors, 200.2 bits, 0.02479533% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
807473955079064411136.47559140
22 × 5 × 2957
-529572.042e-84.802e-68.718e-6
80747315506889136071340.496960211
7 × 17 × 8069
2008-07-161780693.334e-71.320e-52.377e-5
8074731259905615418779750413418061252527768138123.2457801534016733561062805927017080
23 × 5 × 11 × 13 × 17 × 47 × 191 × 10861 × 30773 × 1386881 × 19280797
2021-09-201386881192807971.628e+110.06840.0817

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8074731481030516798732878426872476.971
807473120330947641907343436870063265126029350449344332149159.720
8074731953721670021106319514193862519194466397589430536750163.741
80747318659586647213009685947547999301964166338588963962
96120168847
61200.216
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:52:08alpertronManual testing3000001000000012-
skipped known factor: 95507906441
skipped known factor: 1550688913607
--0.024--3.953%
2021-09-18T13:52:43gLaussManual testing1000000083000000038123.2451.5830.0323.16711.156%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-20T13:16:42gLaussManual testing500000036500000027--0.777


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16T09:26:00J FeitsmaManual testing??40.496131.51991e-70.0343.18003e-7


ECM factoring results:
Total ECM effort:11.455 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.425
25000025000000445.030


Lucas-Lehmer results:
No L-L results for M807473


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T01:36:39Oliver KruseGTX-3
95507906441
1550688913607
7337903A951962__no
2017-10-13T23:59:13Oliver KruseThreadripper7337903A951962__no
2017-12-18T07:45:33ATHec2-1xf
95507906441
1550688913607
7337903A951962__no
2020-04-21T07:52:08Oliver KruseAddPrpType5
95507906441
1550688913607
4CD58043F18FD6__no
2021-09-20T15:18:06mikrNitron
95507906441
1550688913607
12599056154187797504134180612525277681
4CD58043F18FD6F1no
2021-09-20T18:24:23Caleb Bfunniyes
95507906441
1550688913607
12599056154187797504134180612525277681
4CD58043F18FD6F1no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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TF factor-bounds graph:
267
2
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Last modified: 2021-09-20T18:24:23+00:00