is 2 63103 - 1
has 18996 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267470.879676.1194%1000000000923489999932508,654.984028.6636%9,125.863682.9644%6.8450%
PrimeNet2400.000060.0000%650100000.00005.3732%0.000062.1493%2.1493%
GPU722440.000063.6364%500100000.00002.1801%0.000064.4291%0.7928%
Difference+23+470.8796+12.4830%+999999500+92348999983250+8,654.9840+26.4834%+9,125.8636+18.5353%+6.0523%

Known prime factors (4 factors, 259.0 bits, 0.41048662% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
631031009649719.9458
23
-881.109e-121.376e-82.800e-8
6310310222687823.28581
34
2008-08-2681811.802e-111.393e-72.835e-7
631033955351106135108583088972478.3883134043631947061616
24 × 195877726996691351
2014-05-07161958777269966913511,926,77318,354,28734,280,697
6310323157416618924477698222111862879763033374342137.4111834890307824071573318393092474190057
7 × 867511 × 42176347 × 301212211 × 23784582947273
2022-11-08301212211237845829472732.699e+122,229.24,162.6

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
63103103213257068631443.231
631033993516288958206245807195471533098.334
63103404343163331229947559320334623931101.673
63103408244670514212985323320216532686011137121.619
6310323380862531880479983532257020244689866883328620748157.356
63103236731021823863212147405106053206736124356022744149160.696
6310323901523945344166828141541792151412792121993400755
78209
55180.641
6310391595713438894479141519016912904792992946948792231
195898696211471
65215.799
6310392479520477866371970755533907097411340535893901127
434707922731215483679
71235.744
6310393635430902751188629177761444833195956668986510800
7547308055077953842577
72239.084
6310394538919175531834848260697665014391464454885561643
4712132030501401019204025473
78259.029
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-21T09:26:48kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1009649
skipped known factor: 10222687
--0.350--11.330%
2022-11-08T15:08:44George WoltmanSkylakeX10000000009234899999325042137.4118,6550.00017,31028.664%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-28T16:46:39ATHcolab-Pp215000000150000000027--0.276


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:09:00ANONYMOUSManual testing??23.28583.10489e-130.0006.48706e-13


ECM factoring results:
Total ECM effort:11.243 GHz-days
Estimated T-Level:31.343
DigitsB1CompleteFacMiss
2011000112.9910.000%
255000019.0260.000%
302500002.4878.315%
3510000000.26976.441%
4030000000.02597.570%
45110000000.00299.807%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.008
5000050000002740.339
250000250000005853.619
10000001000000002947.276


Lucas-Lehmer results:
No L-L results for M63103


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:11:47Oliver KruseOllaptop00221F1E8768AD__?
2017-09-21T21:39:26Oliver KruseManual testing00221F1E8768AD__?
2017-10-02T16:48:33kkmrkkblmbrbkManual testing
1009649
10222687
395535110613510858308897
00221F1E8768AD__no
2017-12-07T03:27:56ATHxps
1009649
10222687
395535110613510858308897
00221F1E8768AD__no
2020-04-17T13:48:43Oliver KruseAddPrpType5
1009649
10222687
395535110613510858308897
EB8144217498EE__no
2022-11-08T15:42:24George WoltmanManual testing
1009649
10222687
395535110613510858308897
231574166189244776982221118628797630333743
EB8144217498EE5Cno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 92348999993250 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-08T15:42:24+00:00