is 2 2978219 - 1
has 896534 decimal digits
takes 0.253 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
Actual2679.977167.1642 %400000941371200.67967.0285 %10.656769.4721 %
Target2641.195165.6250 %1300010000000.00821.3849 %1.203466.1011 %
Difference+3+8.7820+1.5392 %+387000+93137120+0.6714+5.6436%+9.4533+3.3710 %

Known prime factors (3 factors, 169.4 bits, 0.00568650% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2978219291865463928.12149
72
-49491.201e-116.047e-61.231e-5
2978219628532774605776889512065.76910552158431025
3 × 52 × 17 × 8276202691
2018-06-072582762026912.449755.647103.93
2978219522184529407632661060092375.4678766724834668516
22 × 3 × 331 × 359 × 787 × 7811941
2022-11-0878778119412,569.30.05260.0981

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-08Kevin_9611Factor_14000009413712022375.4670.7199.198%


Trial Factoring results:
5758596061626364656667
No TF results for M2978219


ECM factoring results:
Total ECM effort:0.348 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.348


Lucas-Lehmer results:
No L-L results for M2978219


PRP results:
dateuseridcompidcofactorsres64
2017-10-26Oliver KruseGTX-0
291865463
942119C15DA9041E
2017-12-09kkmrkkblmbrbkc4.xlarge
291865463
942119C15DA9041E
2018-06-08Gabriel Lignelli
291865463
62853277460577688951
942119C15DA9041E
2022-11-14Oliver KruseServer-Phi
291865463
62853277460577688951
52218452940763266106009
942119C15DA9041E


CERT results:
dateuseridcompid
2022-11-14WeakForceBosonJOHN9456789tommy


P-1 factor-bounds graph:
B1 = 400000, B2 = 94137120 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00