is 2 27817 - 1
has 8374 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
Actual2671,068.192777.6119%500000000100000000000.668113.6308%1,068.860880.6636%3.0517%
PrimeNet2400.000062.5000%500100000.00004.0251%0.000064.0094%1.5094%
GPU722440.000165.9091%500100000.00001.7199%0.000166.4954%0.5863%
Difference+23+1,068.1927+11.7028%+499999500+9999990000+0.6681+11.9109%+1,068.8607+14.1682%+14.1682%

Known prime factors (5 factors, 302.2 bits, 1.08640060% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2781795674902491033.155171972
22 × 32 × 17 × 281
-172815.033e-82.060e-82.271e-8
278176855780045371239.31912323004
22 × 3 × 1026917
2008-08-26410269173.467e-63.673e-56.861e-5
278171453843064705182631857.0132613227639043
3 × 72 × 73 × 197 × 467 × 2647
2008-08-2646726470.76233.846e-76.240e-7
2781761315365978044126883912272.377110212039360901835
33 × 5 × 7 × 116626496678203
2009-05-102711662649667820367,9844,171.77,791.5
27817160525354339657617001487060987331100.34128853822184214260524407208
23 × 1321 × 72767 × 37521144407281043
2018-03-1872767375211444072810436.507e+121,342,1102,506,689

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2781765592608733366252597132272.474
2781713909629345143110872289174872890.168
27817996722827210535681677553592312996.331
278175866341661088035320535276799935932105.532
27817420364662546833518632034536522996734111.695
2781789142919587039561195918166352289358483339129.389
2781795361359302925120045165619566008463851939129.487
278171535824762361944084660304074495661062837741133.496
27817110052652105777322387672104633297955099380143139.659
278174021834809941005195338350247215005291509178344144.851
2781723337867311605321816730211295877245666519461059948157.353
27817852874013916392108519185835177488336115438179341749162.545
2781761114424929084834451973673797350554550600666838732
1
51168.708
2781798426708500913207893370918010424773719169536770843
43
52172.717
2781710529276758986138485093822588883859061249589326946
449
53172.815
2781722328481793623976101807326163701520181540244945932
84549151
58190.509
2781715999928501639657313223609882309898978956142663522
9170287663
60196.672
2781758471166458226167011303738286085823269761445707246
70222732929
61201.863
2781794169657382365252411513608980491750290618600743289
146403071407
62205.873
2781767479186407201051709764671439974850530138011044153
48538185664191
64212.036
2781714309698753581131012468469407275280049348982422282
25334914145972856209
70229.730
2781715307915992413460185596842630557999607733795113190
83966607576277498087
70229.827
2781764560645796134940561571827208664817125232790128919
277985027746298980973559
74245.191
2781713690790329101492479218357847406105153089062812325
785924365850847464398286606041
80262.886
2781798104147170057478822636997228704176464805222549997
5593649228712284294332650620233
81269.049
2781793861047143598587340510347145226723123259925843137
65641976982031150812543480771403029608017
91302.204
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-22T01:05:43kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 9567490249
skipped known factor: 685578004537
skipped known factor: 145384306470518263
--0.668--13.631%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??39.319128.34300e-72.58579e-51.71285e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:15.762 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001280 / 10012.8000.000%
25500001280 / 2804.5711.026%
302500001105 / 6401.72717.765%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:15.762 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000156.7560.000%
255000031.7980.000%
302500005.4830.416%
3510000000.79545.142%
4030000000.09890.632%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001740.082
2000002000000010.002
250000250000005941.403
1000000100000000110.104
300000030000000043512.33
3000000300000000651.842


Lucas-Lehmer results:
No L-L results for M27817


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:37:34Oliver KrusePRP
9567490249
685578004537
145384306470518263
6131536597804412688391
AA3BCDA422976E7Dno
2017-09-21T21:28:57Oliver KruseManual testing
9567490249
685578004537
145384306470518263
6131536597804412688391
AA3BCDA422976E7Dno
2017-10-02T10:28:52kkmrkkblmbrbkManual testing
9567490249
685578004537
145384306470518263
6131536597804412688391
AA3BCDA422976E__no
2017-12-07T03:11:56ATHxps
9567490249
685578004537
145384306470518263
6131536597804412688391
AA3BCDA422976E__no
2018-03-20T20:00:38Oliver KruseGTX-7
9567490249
685578004537
145384306470518263
6131536597804412688391
1605253543396576170014870609873
6BF6C2F854B537__no
2018-03-22T08:43:00krackerGRID-11
9567490249
685578004537
145384306470518263
6131536597804412688391
1605253543396576170014870609873
6BF6C2F854B537__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
101
102
103
104
105
106
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109
100
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102
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109
1010
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TF factor-bounds graph:
267
2
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240
250
260
270
280
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2110
Last modified: 2018-03-22T08:43:00+00:00