is 2 1022429 - 1
has 307782 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7D60380924E743FEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271467.590771.8310 %100000009600000002.65428.6977 %470.244974.2810 %
Target2600.150266.6667 %4500850000.00040.5973 %0.150666.8658 %
Difference+11+467.4405+5.1643 %+9995500+959915000+2.6538+8.1004%+470.0943+7.4153 %

Known prime factors (1 factor, 75.5 bits, 0.00738428% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1022429533905961128673359315612375.49926109683955006820
22 × 5 × 7 × 19 × 47 × 107 × 1951813613
2015-03-0410719518136137,484.04.57018.5357

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers10000130000--0.0011.673%
2002-09-29Jossv4_computers1500015000--0.0010.688%
2002-11-09Jossv4_computers2500025000--0.0010.977%
2003-11-08ANONYMOUSv4_computers15000198750--0.0012.121%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.944%
2003-12-13ANONYMOUSv4_computers15000198750--0.0012.121%
2012-01-01bcp19Toshiba-740Q2000001000000012--0.0327.790%
2012-02-27bcp19Toshiba-740Q20000010000000012--0.24210.820%
2014-07-18JossManual testing262775262775--0.0113.194%
2014-10-17JossManual testing325550325550--0.0143.468%
2014-12-02JossManual testing10224291022429--0.0445.123%
2021-06-30ViliamF310000000960000000--2.29218.200%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-25ANONYMOUSv4_computers212570.019
2003-02-02ANONYMOUSv4_computers212580.038
2022-03-07LordJuliusManual testing258260
2009-02-16Sturle Sundegehry.ifi2602610.150
2010-11-06Michael CManual testing2612620.300
2010-11-19Michael CManual testing2622630.960
2010-11-19Michael CManual testing2632641.920
2013-04-24Never Odd Or EvenManual testing2642653.654
2013-04-24Never Odd Or EvenManual testing2652667.309
2013-04-24Never Odd Or EvenManual testing26626714.62
2013-04-24Never Odd Or EvenManual testing26726829.24
2013-06-03Never Odd Or EvenManual testing26826958.47
2013-06-03Never Odd Or EvenManual testing269270116.9
2014-04-01Never Odd Or EvenManual testing270271233.9


ECM factoring results:
Total ECM effort:17.304 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002809.60
50000500000010.035
25000025000000447.669


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-22ANONYMOUSv4_computers7D60380924E743FE0.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
53390596112867335931561
91C7E672B385A88B
2017-10-15Oliver KruseThreadripper-PC
53390596112867335931561
91C7E672B385A88B
2017-12-28ATHec2-1xh
53390596112867335931561
91C7E672B385A88B


CERT results:
No CERT results for M1022429


P-1 factor-bounds graph:
B1 = 10000000, B2 = 960000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 1022429 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 325550 (P-1 stage 1)
B1 = 262775 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 10000, B2 = 130000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
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
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Last modified: 2024-02-09T03:30:02+00:00