is 2 1030219 - 1
has 310127 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAF169BD333C7C738double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271464.055071.8310 %1000000010000000002.74788.7505 %466.802874.2959 %
Target2600.149166.6667 %4500900000.00040.6148 %0.149566.8716 %
Difference+11+463.9059+5.1643 %+9995500+999910000+2.7474+8.1357%+466.6534+7.4243 %

Known prime factors (2 factors, 178.1 bits, 0.01728940% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10302191102602192503440640683697932786.51153513000270012523584
26 × 1009 × 54443 × 15221102563
2020-02-17544431522110256315,211,78635.64266.565
103021937725891842041200783748716012891.6081830964670717643568200
23 × 3 × 52 × 2151269 × 1418515204063
2016-04-0721512691418515204063486,777,1583,321.56,203.5

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers10000117500--0.0011.625%
2002-11-09Jossv4_computers1500015000--0.0010.689%
2002-11-09Jossv4_computers1100011000--0.0000.544%
2002-11-16Jossv4_computers2000020000--0.0010.844%
2012-01-02bcp19Toshiba-740Q2000001000000012--0.0327.797%
2012-02-23bcp19Toshiba-740Q20000010000000012--0.24210.829%
2014-07-18JossManual testing262301262301--0.0113.195%
2014-10-18JossManual testing324602324602--0.0143.468%
2016-04-29JossManual testing15739922833185612---10.842%
2021-07-21ViliamF3100000001000000000--2.37318.284%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-04Dylan Delgadodesktoplinux300000021600000027--0.591


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-04ANONYMOUSv4_computers212570.019
2003-02-02ANONYMOUSv4_computers212580.037
2016-02-23Mark RoseManual testing2582600.112
2009-04-15Sturle Sundegerle.ifi2602610.149
2010-11-07Michael CManual testing2612620.298
2010-11-29Michael CManual testing2622630.953
2010-11-29Michael CManual testing2632641.906
2013-03-22Never Odd Or EvenManual testing2642653.627
2013-03-22Never Odd Or EvenManual testing2652667.254
2013-03-22Never Odd Or EvenManual testing26626714.51
2013-03-22Never Odd Or EvenManual testing26726829.01
2013-05-02Never Odd Or EvenManual testing26826958.03
2013-05-02Never Odd Or EvenManual testing269270116.1
2014-04-01Never Odd Or EvenManual testing270271232.1


ECM factoring results:
Total ECM effort:17.294 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002809.59
50000500000010.030
25000025000000437.502
2500002500000010.174


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03ANONYMOUSv4_computersAF169BD333C7C7380.031


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
3772589184204120078374871601
B691F53FB6DA86C7
2017-10-15Oliver KruseThreadripper-PC
3772589184204120078374871601
B691F53FB6DA86C7
2017-12-27ATHec2-1xh
3772589184204120078374871601
B691F53FB6DA86C7
2020-02-18tottenhoffpc-2011
110260219250344064068369793
3772589184204120078374871601
8B12107E9C46B4BF
2020-02-19Jinyuan WangManual testing
110260219250344064068369793
3772589184204120078374871601
8B12107E9C46B4BF
2020-02-19marssystemsSystem01
3772589184204120078374871601
110260219250344064068369793
8B12107E9C46B4BF


CERT results:
No CERT results for M1030219


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 1573992, B2 = 28331856 (P-1 stage 2)
B1 = 1573992 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 324602 (P-1 stage 1)
B1 = 262301 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 117500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
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Last modified: 2024-03-03T02:29:32+00:00