is 2 70537 - 1
has 21234 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-03-28, 0.0% done, ETC 2024-03-31
factored, 0 LL tests remaining
ResidueStatus
L-L0A92D8D7252C8868double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267421.252974.6269 %10000000009544327206414011,039.756328.8485 %11,461.009281.9466 %
Target2440.000061.3636 %500500000.00002.2499 %0.000062.2329 %
Difference+23+421.2529+13.2632 %+999999500+95443272014140+11,039.7563+26.5985%+11,461.0092+19.7137 %

Known prime factors (1 factor, 109.4 bits, 0.15508096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7053785017320808722611605048417515242333109.3896026434410927783404812255803
33 × 2709174959 × 82387176116965871
2010-07-142709174959823871761169658711.903e+129,527,85417,795,367

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00122.423%
2001-08-18Alex Kruppav4_computers1000000100000000--0.01430.579%
2002-06-09ANONYMOUSv4_computers327683276800--0.00018.306%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.874%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00223.407%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00425.900%
2003-05-04ANONYMOUSv4_computers104857610485760012--0.01430.741%
2003-06-06ANONYMOUSv4_computers209715220971520012--0.02833.079%
2003-08-25ANONYMOUSv4_computers419430441943040012--0.05735.359%
2003-11-08ANONYMOUSv4_computers838860883886080012--0.11437.577%
2003-12-02ANONYMOUSv4_computers16777216167772160012--0.22839.733%
2016-11-18kkmrkkblmbrbkManual testing100000000200000000012---40.129%
2022-05-02George WoltmanSkylakeX100000000095443272064140--14,03567.640%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-02-03masserLegolas25000000177500000027--0.286
2024-02-05masserAragorn25000000177500000065--0.286
2024-02-05masserLegolas25000000177500000013647--0.286


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers2522530.009
2000-04-05ANONYMOUSv4_computers212540.034
2000-11-25ANONYMOUSv4_computers212560.136
2002-10-07ANONYMOUSv4_computers212570.272
2022-05-07LordJuliusWhitebox257259
2009-02-07Sturle Sundekrebs.ifi2592601.089


ECM factoring results:
Total ECM effort:21.514 GHz-days
Estimated T-Level:26.758
DigitsB1CompleteFacMiss
201100014.9240.000%
25500002.6117.344%
302500000.35270.349%
3510000000.04096.088%
4030000000.00499.600%


ECM Summary

B1B2factorcurvesGHz-days
119.53
250000250000001220.848
1000000100000000110.306
3000000300000000100.834


Lucas-Lehmer results:
No L-L results for M70537


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
850173208087226116050484175152423
9C54BE864FCFEEFF
2017-09-21Oliver KruseManual testing
850173208087226116050484175152423
9C54BE864FCFEEFF
2017-10-13kkmrkkblmbrbkManual testing
850173208087226116050484175152423
9C54BE864FCFEEFF
2020-04-17Oliver KruseAddPrpType5
850173208087226116050484175152423
8CC780A287BA4D21
2024-02-03Wentao HuangManual testing
850173208087226116050484175152423
8CC780A287BA4D21


CERT results:
No CERT results for M70537


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 95443272064140 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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109
1010
103
104
105
106
107
108
109
1010
1011
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1013
1014
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1016
1017
TF factor-bounds graph:
260
259
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.76 ~= 72-bit
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Last modified: 2024-03-29T04:56:05+00:00