is 2 3028217 - 1
has 911585 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2CC9B5EF86166F9Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.683267.6471 %32648822186098285416.322513.4724 %36.005772.0058 %
Target2641.175465.6250 %1300011000000.00891.4289 %1.184366.1162 %
Difference+4+18.5078+2.0221 %+32635822+1859882854+16.3136+12.0434%+34.8214+5.8896 %

Known prime factors (1 factor, 76.6 bits, 0.00253107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30282171182700379881527471198792476.64619527999147378267
3 × 7 × 13 × 76679 × 932864701
2020-02-29766799328647018,430.76.281311.715

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.314%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.570%
2010-10-12markrtiny11500023575006--0.0294.186%
2016-04-27USAFSSP4_2600205000563750012--0.0625.409%
2017-06-13mikrMSI300000010000000012--1.02210.964%
2020-02-29oodairacom53264882218609828541222476.64616.3217.136%
2021-01-14JossManual testing302821302821---2.482%
2021-01-14JossManual testing30282130282176---4.967%
2022-01-23JossManual testing1052820119912100--1.14710.462%
2022-09-07JossManual testing1052820226749600--2.03311.337%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-08David Campeauv4_computers212600.025
2009-01-30Jayson Kingatlas2602610.051
2010-10-09Sid & AndyBuzz2612620.101
2013-01-07dbaughManual testing2622630.324
2015-02-07VictordeHollanderManual testing2632651.882
2015-06-02ThaManual testing2652662.468
2017-05-02Gordon SpenceManual testing2662674.935
2018-07-16ramgeisManual testing2672689.87


ECM factoring results:
Total ECM effort:1.638 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05394.802%
302500000.00399.664%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.638


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15ANONYMOUSv4_computers2CC9B5EF86166F9A0.258


PRP results:
dateuseridcompidcofactorsres64
2020-03-01Christoph ZengerManual testing
118270037988152747119879
1103E7D833BD8492
2020-03-06roemer2201ws-rebentrost-o
118270037988152747119879
1103E7D833BD8492


CERT results:
No CERT results for M3028217


P-1 factor-bounds graph:
B1 = 32648822, B2 = 1860982854 (P-1 stage 2)
B1 = 32648822 (P-1 stage 1)
B1 = 1052820, B2 = 226749600 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1052820, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1052820 (P-1 stage 1)
B1 = 205000, B2 = 5637500 (P-1 stage 2)
B1 = 302821, B2 = 3028217 (P-1 stage 2)
B1 = 302821 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.88 ~= -7-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00