is 2 31663 - 1
has 9532 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
Actualunknown20000000050000000000.368648.9227%0.368648.9227%48.9227%
PrimeNet2400.000062.5000%500100000.00004.1603%0.000064.0601%1.5601%
GPU722440.000165.9091%500100000.00001.7867%0.000166.5182%0.6091%
Difference-44-0.0001-65.9091%+199999500+4999990000+0.3686+47.1361%+0.3685-17.5955%-17.5955%

Known prime factors (4 factors, 310.3 bits, 0.97993414% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3166329353825533459291651.38246353512828
22 × 7 × 37 × 44742773
2014-04-2337447427730.01790.00190.0036
31663346541193536331147224892374.875547233669482252388
22 × 3 × 29 × 1163 × 1352115687437
2010-04-2011631352115687437209,96758.838109.89
316634235780618817365329978792478.4876688849159614321653
19 × 352044692611280087
2015-07-03193520446926112800872,558,16915,319,51828,612,594
316635864012655259212578880770546911932105.532926003956551686918308557393
3 × 53 × 167703727 × 34727458710813601
2017-08-15167703727347274587108136014.227e+121,511,1942,822,490

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3166310172309735222214697332459707725289728139126.258
31663124336365282773170367337003972851028459140129.869
316631467872471203029109250960585607865215431060083147153.362
3166317213120440847628330385914278801105362603386655148156.914
3166320321219444656778860623957008753082524302731232443
17191
55180.407
3166324838671153646729046530710832173669923487064481126
998601
56184.019
3166343087672425061462241371932582180659973706633483353
213377866999
62204.745
3166359650553020559556861925456951792651550888380834511
39390110152024565439
70231.790
3166372911001952711407442214433087788024026847779462048
146199522589852045329
71235.401
3166386076227474411767797096372209871317650927464976684
3224161867993650237606237889
78258.894
3166325266665638622382042347972346673207114984200000474
53988410209666141113086830616383038883703881
94310.277
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:41kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 2935382553345929
--0.369--41.275%


Trial Factoring results:
No TF results for M31663


ECM factoring results:

Old Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001373 / 10013.7300.000%
25500001373 / 2804.9040.736%
302500001096 / 6401.71318.017%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000159.2570.000%
255000031.9800.000%
302500005.4890.413%
3510000000.79545.152%
4030000000.09890.635%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002770.159
250000250000004451.279
250000250000001400.402
1000000100000000110.126
300000030000000049016.90
3000000300000000100.345


Lucas-Lehmer results:
No L-L results for M31663


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:42:05Oliver KruseOllaptop
2935382553345929
34654119353633114722489
423578061881736532997879
58640126552592125788807705469119
AC2DD6C17FA3F1DCno
2017-09-21T21:29:03Oliver KruseManual testing
2935382553345929
34654119353633114722489
423578061881736532997879
58640126552592125788807705469119
AC2DD6C17FA3F1DCno
2017-10-02T10:35:57kkmrkkblmbrbkManual testing
2935382553345929
34654119353633114722489
423578061881736532997879
58640126552592125788807705469119
AC2DD6C17FA3F1__no
2017-12-07T03:13:01ATHxps
2935382553345929
34654119353633114722489
423578061881736532997879
58640126552592125788807705469119
AC2DD6C17FA3F1__no
2020-04-17T13:48:02Oliver KruseManual testing
2935382553345929
34654119353633114722489
423578061881736532997879
58640126552592125788807705469119
E237BCAAC05284__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
100
101
102
103
104
105
106
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108
109
100
101
102
103
104
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109
1010
1011
1012
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1014
1015
1016
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1018
TF factor-bounds graph:
250
260
270
280
290
2100
2110
Last modified: 2020-04-17T13:48:02+00:00