is 2 3435373 - 1
has 1034151 decimal digits
takes 0.361 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
Actual26934.752268.1159 %3435373346345230029.231611.8661 %63.983871.8993 %
Target2641.036165.6250 %1900017000000.01681.8533 %1.052966.2621 %
Difference+5+33.7161+2.4909 %+3416373+3461752300+29.2148+10.0128%+62.9309+5.6373 %

Known prime factors (4 factors, 216.3 bits, 0.00629493% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
343537317705294074871340.687257691
3 × 72 × 1753
-4917537.578e-82.160e-52.722e-5
3435373195875190563952491754.1212850857688
23 × 3 × 7 × 43 × 394637
2014-11-04433946370.00120.00330.0061
34353731715594170340341671857.25124969547271
71563 × 348917
2015-06-04715633489170.01070.01320.0222
3435373211103881035464354572064.1953072503059136
26 × 72 × 979752251
2017-08-09649797522511.24708.129215.183

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-07-02JossManual testing36643268707466
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
---6.092%
2020-07-08JossManual testing3664321717686512
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
---7.183%
2021-08-08JossManual testing34353733435373
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
--0.5235.716%
2021-08-13JossManual testing34353733435373012
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
--0.7809.467%
2021-08-31JossManual testing343537313741492012
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
--1.63511.665%
2022-03-21JossManual testing34353731016122800
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
skipped known factor: 21110388103546435457
--9.34414.747%
2022-07-23JossManual testing34353733463452300
skipped known factor: 1770529407487
skipped known factor: 19587519056395249
skipped known factor: 171559417034034167
skipped known factor: 21110388103546435457
--30.6016.583%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-11-04TJAOIManual testing254255*
54.121
17
8.43761e-5
2015-06-04TJAOIManual testing257258*
57.251
18
0.001
2022-05-05LordJuliusManual testing262264
2017-08-09TJAOIManual testing264265*
64.195
20
0.212
2021-01-20JossManual testing265266
2021-01-28JossManual testing266268
2021-08-23JossManual testing268269


ECM factoring results:
Total ECM effort:0.441 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3435373


PRP results:
dateuseridcompidcofactorsres64
2017-09-28alpertronManual testing
171559417034034167
1770529407487
19587519056395249
21110388103546435457
31F6B580608A6D4F
2017-11-21Oliver KruseThreadripper-PC
1770529407487
19587519056395249
171559417034034167
21110388103546435457
31F6B580608A6D4F


CERT results:
No CERT results for M3435373


P-1 factor-bounds graph:
B1 = 3435373, B2 = 3463452300 (P-1 stage 2)
B1 = 3435373, B2 = 1016122800 (P-1 stage 2)
B1 = 3435373, B2 = 137414920 (P-1 stage 2)
B1 = 3435373, B2 = 34353730 (P-1 stage 2)
B1 = 3435373 (P-1 stage 1)
B1 = 366432, B2 = 17176865 (P-1 stage 2)
B1 = 366432, B2 = 6870746 (P-1 stage 2)
B1 = 366432 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
266
264
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00