is 2 1735831 - 1
has 522538 decimal digits
takes 0.094 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
Actual26717.118068.6567%500000150000000.10155.0364%17.219570.2353%1.5786%
PrimeNet2570.011163.1579%80001400000.00122.7982%0.012364.1888%1.0309%
GPU722610.177065.5738%80001100000.00111.4103%0.178066.0593%0.4855%
Difference+6+16.9410+3.0829%+492000+14890000+0.1004+3.6261%+17.0414+4.1760%+4.1760%

Known prime factors (3 factors, 164.3 bits, 0.00946423% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1735831447844399928.738129
3 × 43
-3432.118e-114.074e-74.803e-7
1735831699617949730545075112065.92320152248396605
5 × 13 × 67 × 1759 × 2630689
2015-06-19175926306895.94080.01140.0211
17358319081095355378437996472169.621261577750235433
3 × 103 × 846529936037
2020-06-1410384652993603770.1643,628.06,776.1

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1735831313319980226688171105047808892994.662
17358314066917691691147982087871271533098.360
17358316353297313837438398390023768635654064861741135.545
17358312845288617183841983226502762260349544649895054618350164.283
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-06-19T22:27:00alpertronManual testing50000015000000122065.9230.1010.1880.2035.036%


Trial Factoring results:
No TF results for M1735831


ECM factoring results:

Old Calculation Method

Total ECM effort:17.992 GHz-days
Estimated T-Level:24.679
DigitsB1CurvesCompleteFacMiss
2011000262 / 1002.6207.185%
2550000262 / 2800.93639.165%

New Calculation Method

Total ECM effort:17.992 GHz-days
Estimated T-Level:24.679
DigitsB1CompleteFacMiss
20110008.4520.021%
25500000.76446.587%
302500000.04795.405%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026017.85
50000500000020.137


Lucas-Lehmer results:
No L-L results for M1735831


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T04:54:50Oliver KruseGTX-2
447844399
69961794973054507511
9B8E83A5451634__no
2017-11-03T16:22:10ATHec2-1xf
447844399
69961794973054507511
9B8E83A5451634__no
2020-06-15T05:05:40CrypticCluecruncher
447844399
69961794973054507511
908109535537843799647
0F4B55E3058AC384no
2020-06-15T21:22:53nordisweet16
447844399
69961794973054507511
908109535537843799647
0F4B55E3058AC384no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
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109
1010
1011
1012
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2020-06-15T21:22:53+00:00