is 2 1777547 - 1
has 535095 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L816ECA1E3B1CB8FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.716268.6567%2475400866600000.55557.9637%17.271871.1528%2.4961%
PrimeNet2570.010863.1579%80001400000.00122.8108%0.012064.1934%1.0355%
GPU722610.172865.5738%80001200000.00111.4557%0.173966.0749%0.5011%
Difference+6+16.5434+3.0829%+2467400+86540000+0.5544+6.5080%+17.0978+5.0779%+5.0779%

Known prime factors (1 factor, 74.9 bits, 0.00421134% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1777547342504108465039177829912374.8599634178687400085
5 × 7 × 13 × 821 × 25790522647
2017-09-27821257905226473,897.1110.53206.44

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:33:00Carsten Kossendeyleela950001615000---0.014--2.434%
2014-04-10T20:52:00ANONYMOUSManual testing100000100000---0.008--0.890%
2014-05-09T20:32:00Jocelyn LaroucheManual testing136108136108---0.011--1.059%
2014-09-18T20:49:00Jocelyn LaroucheManual testing172216172216---0.014--1.202%
2015-05-23T13:31:00mikrMSI247540086660000---0.556--7.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:51Mark RoseManual testing258260--0.065--
2010-04-20T13:12:00Architects Cubedm1_tt260261--0.086--
2016-02-23T16:28:51Mark RoseManual testing261262--0.173--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.898--
2016-02-23T16:28:51Mark RoseManual testing262263--0.552--
2015-05-08T04:03:00snme2pm1Manual testing263264--1.105--
2015-05-08T04:03:00snme2pm1Manual testing264265--2.102--
2015-09-11T08:33:00ramgeisManual testing265266--4.204--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.280 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.280 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025017.21
50000500000010.069


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers816ECA1E3B1CB8FC0.096
2015-07-18T19:04:00MadPooManual testing816ECA1E3B1CB8FC0.096


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T01:10:07kkmrkkblmbrbkManual testing
34250410846503917782991
A56D7B98EA1B32__no
2017-10-19T17:23:15Oliver KruseThreadripper
34250410846503917782991
A56D7B98EA1B32__no


P-1 factor-bounds graph:
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172216 (P-1 stage 1)
B1 = 136108 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-10-23T07:51:46+00:00