is 2 1736389 - 1
has 522706 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L104C2E959A033CA4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.112568.6567%500000150000000.10155.0366%17.214070.2354%1.5786%
PrimeNet2570.011163.1579%80001400000.00122.7983%0.012364.1889%1.0310%
GPU722610.176965.5738%80001100000.00111.4104%0.178066.0593%0.4855%
Difference+6+16.9356+3.0829%+492000+14890000+0.1004+3.6262%+17.0360+4.1760%+4.1760%

Known prime factors (2 factors, 144.6 bits, 0.00832593% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1736389350407861384270113532064.92610090131341084
22 × 2522532835271
2008-07-14425225328352713.747110,81120,192
17363899451534002078815498750172479.645272160616143007572
22 × 3 × 73 × 310685634866447
2020-06-017331068563486644789,0081,331,5212,486,910

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17363893311891816469149336342176930799021399006800144144.571
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:33:43alpertronManual testing5000001500000012---0.101--5.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.649 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:17.649 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
20110009.8850.005%
25500000.91540.068%
302500000.05894.394%
3510000000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000015610.71
5000050000001016.936


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00macwangv4_computers104C2E959A033CA40.094


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:16:09alpertronManual testing
35040786138427011353
3B4E8D4DD08B4B__no
2017-10-19T11:02:48Oliver KruseThreadripper
35040786138427011353
3B4E8D4DD08B4B__no
2020-06-01T15:35:37ATHec2-PRPCF
35040786138427011353
945153400207881549875017
7DB0541EAFBC1558no
2020-06-02T14:00:11marssystemsSYSTEM01
35040786138427011353
945153400207881549875017
7DB0541EAFBC1558no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-06-02T14:00:11+00:00