is 2 28513 - 1
has 8584 decimal digits
takes 0.000 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
Actual2671,042.118277.6119%500000000100000000000.812813.6528%1,042.931080.6685%3.0566%
PrimeNet2400.000062.5000%500100000.00004.0506%0.000064.0190%1.5190%
GPU722440.000165.9091%500100000.00001.7325%0.000166.4997%0.5906%
Difference+23+1,042.1182+11.7028%+499999500+9999990000+0.8128+11.9203%+1,042.9309+14.1688%+14.1688%

Known prime factors (3 factors, 274.3 bits, 0.96186352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28513386985348045476276572065.069678612120866756
22 × 271 × 626025941759
2014-04-23271626025941759347.5427.24250.881
2851342075078459646538129412915532891.76573782272050725174708752
24 × 10007 × 460816628676958471
2014-11-19100074608166286769584713.393e+1020,052,82037,453,083
2851322264169670170298383383675521057176936117.4223904213809520271171638143219068
22 × 37 × 127 × 220511 × 323927 × 2907975540501989
2018-01-2432392729079755405019896.027e+12126,543236,347

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2851316282438881747037419741461704487886638372328132148156.834
2851386159074487543896766796392573175728509627962354878
15233
55182.491
2851393676668571129809098379268269581132490030281792607
3370459967257
63209.187
2851336251498190739398015206793283218410313470172029220
644016573981542789997509247626849
83274.256
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-28T07:28:38kkmrkkblmbrbkManual testing5000000001000000000012---0.813--13.653%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.021--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.207 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001283 / 10012.8300.000%
25500001283 / 2804.5821.015%
302500001119 / 6401.74817.381%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:19.207 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000157.5280.000%
255000031.9270.000%
302500005.4990.409%
3510000000.79745.081%
4030000000.09890.623%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001640.094
250000250000004601.322
250000250000001480.425
1000000100000000110.126
30000003000000002006.896
300000030000000030010.34


Lucas-Lehmer results:
No L-L results for M28513


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:38:21Oliver KruseOliver-PCD60D436E037627__?
2017-09-21T20:27:18Oliver KruseManual testingD60D436E037627__?
2017-10-02T10:29:35kkmrkkblmbrbkManual testing
38698534804547627657
4207507845964653812941291553
D60D436E037627__no
2017-12-07T03:12:08ATHxps
38698534804547627657
4207507845964653812941291553
D60D436E037627__no
2018-01-24T18:23:07NetaniasWin10
38698534804547627657
4207507845964653812941291553
222641696701702983833836755210571769
FA974D141B5136__no
2018-01-28T09:35:53Oliver KruseGTX-2
38698534804547627657
4207507845964653812941291553
222641696701702983833836755210571769
FA974D141B5136__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2018-01-28T09:35:53+00:00