is 2 788023 - 1
has 237219 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBD666DEB02ABDDD7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26737.706970.1493 %1630000554200000.13216.5709 %37.839072.1107 %
Target2440.000054.5455 %1300025000000.004317.0897 %0.004362.3135 %
Difference+23+37.7069+15.6038 %+1617000+52920000+0.1278-10.5189 %+37.8347+9.7972 %

Known prime factors (1 factor, 79.2 bits, 0.01005094% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7880236961366318523319172649772479.204441698168614578456
23 × 3 × 7 × 431 × 607 × 10049636551
2014-11-1660710049636551155,36815.85629.615

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.897%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.807%
2002-03-31ANONYMOUSv4_computers8192819200--0.00217.595%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.348%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00623.059%
2002-12-09ANONYMOUSv4_computers65537655370012--0.01225.718%
2003-07-21ANONYMOUSv4_computers1310721310720012--0.02428.321%
2011-07-10JossManual testing271474271474--0.00816.273%
2011-08-28JossManual testing452457452457--0.01317.859%
2012-01-09JossManual testing904914904914--0.02620.005%
2012-07-21JossManual testing15760461576046--0.04621.711%
2013-10-31David Campeaui5-2500k16300005542000012--0.13234.028%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-10-07ANONYMOUSv4_computers212550.006
2001-02-18ANONYMOUSv4_computers212560.012
2001-12-08ANONYMOUSv4_computers212570.024
2003-09-21ANONYMOUSv4_computers212580.049
2008-10-13Sturle Sundepapageno.ifi2582590.049
2008-10-13Sturle Sundepapageno.ifi2592600.097
2010-06-22Architects Cubeda3_s22602610.195


ECM factoring results:
Total ECM effort:11.320 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002796.256
25000025000000445.018


Lucas-Lehmer results:
No L-L results for M788023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
696136631852331917264977
3F5D4FB38AAD7AE8
2017-10-13Oliver KruseThreadripper-PC
696136631852331917264977
3F5D4FB38AAD7AE8
2017-12-16ATHec2-1xh
696136631852331917264977
3F5D4FB38AAD7AE8
2020-04-21Oliver KruseAddPrpType5
696136631852331917264977
8423AEEF0544EC9C


CERT results:
No CERT results for M788023


P-1 factor-bounds graph:
B1 = 1630000, B2 = 55420000 (P-1 stage 2)
B1 = 1630000 (P-1 stage 1)
B1 = 1576046 (P-1 stage 1)
B1 = 904914 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 452457 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 271474 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
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Last modified: 2024-03-03T02:29:32+00:00