is 2 785651 - 1
has 236505 decimal digits
takes 0.016 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-daysProbability
Actual26737.820870.1493 %500000150000000.03744.5736 %37.858171.5145 %
Target2440.000054.5455 %1300025000000.004317.0840 %0.004362.3109 %
Difference+23+37.8208+15.6038 %+487000+12500000+0.0331-12.5104 %+37.8538+9.2036 %

Known prime factors (5 factors, 225.1 bits, 0.02865201% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
785651810791833929.595516
22 × 3 × 43
-4431.012e-101.774e-72.358e-7
78565116278688731030.6001036
22 × 7 × 37
2008-07-167372.229e-102.501e-74.126e-7
78565173929759111032.7844705
5 × 941
2008-07-1659417.417e-101.622e-62.772e-6
7856517582424127863736011859.395482556766800
24 × 3 × 52 × 402130639
2015-11-18254021306390.15870.63451.1850
78565178370672411353150838972272.7314987626338625748
22 × 17 × 163 × 89303 × 5038849
2014-10-038930350388491,635.70.01040.0148

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-03alpertronManual testing500000150000001222272.7310.03729.656%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-16J FeitsmaManual testing??
30.600
10
2008-07-16J FeitsmaManual testing??
32.784
10
2015-11-18TJAOIManual testing259260*
59.395
18
0.039


ECM factoring results:
Total ECM effort:11.424 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.407
25000025000000445.016


Lucas-Lehmer results:
No L-L results for M785651


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
810791833
1627868873
7392975911
7837067241135315083897
758242412786373601
C4949538C642F6CB
2017-10-05Oliver KruseManual testing
810791833
1627868873
7392975911
7837067241135315083897
758242412786373601
C4949538C642F6CB
2017-10-13Oliver KruseThreadripper-PC
810791833
1627868873
7392975911
758242412786373601
7837067241135315083897
C4949538C642F6CB
2017-12-18ATHec2-1xh
810791833
1627868873
7392975911
758242412786373601
7837067241135315083897
C4949538C642F6CB
2020-04-21Oliver KruseAddPrpType5
810791833
1627868873
7392975911
758242412786373601
7837067241135315083897
E67D913513CA4E92


CERT results:
No CERT results for M785651


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
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00