is 2 32057 - 1
has 9651 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
Actualunknown200000000061705638111117026,853.233078.8427%26,853.233078.8427%78.8427%
PrimeNet2400.000062.5000%500100000.00004.1734%0.000064.0650%1.5650%
GPU722440.000165.9091%500100000.00001.7932%0.000166.5204%0.6113%
Difference-44-0.0001-65.9091%+1999999500+617056381101170+26,853.2330+77.0495%+26,853.2329+12.3223%+78.2314%

Known prime factors (4 factors, 358.1 bits, 1.11709882% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32057410777811128654171755.189640699084644
22 × 3 × 359 × 148723093
2014-04-233591487230930.23220.00650.0121
32057770876203361641211756.0971202352377580
22 × 33 × 5 × 1277 × 1743601
2008-08-26127717436010.41227.684e-50.0001
32057326672695520073716401162925484208734111.33150951850690968231026166348299
29 × 79 × 83 × 1031717 × 1261829 × 205823846731
2015-04-2412618292058238467315.781e+128.957516.728
320576118653990333017548694883846488068213869741135.490954339768277290069048083701919716164
22 × 32 × 172 × 37 × 421 × 3889 × 4813 × 3217307 × 97785069677567
2022-08-253217307977850696775674.301e+124,255.27,947.5

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
32057316658839468062255727434469710345734111.287
3205713418989482123319228570230670716636806609841840527
9
51166.521
3205725182420726442784566126833887015214489481517016052
7
51167.429
3205725134072932026024603209526896824035630284050361854
88741649
58190.680
3205747167247577514727061056404343680086245662655121754
77090337
58191.588
3205710344379664929020297969459073312589060146516282329
598268680836794759
68222.618
3205719375258716854815490672880996644548536305069956826
5082651784301171832175529
75246.777
3205719987971919767419102397490876748032593198069942133
3844503968149622166940639
75246.822
3205782106153541030639853234100519041218260211470926652
93668562560337308129694833106257834981463
91302.011
3205715408251906409403031276558326562806854795891156043
800908198885695403882726274020895168613319
92302.919
3205763293679914337673071745685921836626057893778896480
07853280905908086793541266613836411744805914839665
60689023
108358.108
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-13T00:20:02kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 41077781112865417
skipped known factor: 77087620336164121
--0.369--41.297%
2022-07-23T07:25:10nordisweet16_ccx320000000002000000000-
skipped known factor: 41077781112865417
skipped known factor: 77087620336164121
--1.597--35.929%
2022-08-25T10:52:51nordisweet16_30.8b14200000000061705638111117041135.49026,8533.53161e-553,70670.175%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T14:14:32ATHcolab-Pp21000000001000000000027--0.544


Trial Factoring results:
No TF results for M32057


ECM factoring results:
Total ECM effort:19.034 GHz-days
Estimated T-Level:35.517
DigitsB1CompleteFacMiss
2011000313.3090.000%
255000059.0990.000%
302500008.6830.017%
3510000001.04035.342%
4030000000.10390.185%
45110000000.00999.139%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002830.163
250000250000005841.678
10000001000000001,49617.19


Lucas-Lehmer results:
No L-L results for M32057


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:42:30Oliver KruseOliver-PC1682F0776AB8AA__?
2017-09-21T20:27:25Oliver KruseManual testing1682F0776AB8AA__?
2017-10-02T10:39:08kkmrkkblmbrbkManual testing
41077781112865417
77087620336164121
3266726955200737164011629254842087
1682F0776AB8AA__no
2017-12-07T03:13:07ATHxps
41077781112865417
77087620336164121
3266726955200737164011629254842087
1682F0776AB8AA__no
2020-04-17T13:48:05Oliver KruseManual testing
41077781112865417
77087620336164121
3266726955200737164011629254842087
92C2EE804FE158__no
2022-08-25T19:52:32nordisweet16_30.8b14
41077781112865417
77087620336164121
3266726955200737164011629254842087
61186539903330175486948838464880682138697
92C2EE804FE15859no


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 617056381111170 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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Last modified: 2022-08-25T19:52:32+00:00