is 2 3155429 - 1
has 949879 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.889667.6471%31554293390114002.64769.6302%21.537370.7627%3.1156%
PrimeNet2600.048763.3333%130002400000.00312.6507%0.051864.3053%0.9719%
GPU722641.128065.6250%150002400000.00341.5447%1.131466.1560%0.5310%
Difference+4+17.7616+2.0221%+3140429+338771400+2.6443+8.0854%+20.4059+4.6067%+4.6067%

Known prime factors (3 factors, 200.9 bits, 0.00636777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31554292388785970171237.79737852
22 × 9463
-494636.923e-96.409e-50.0001
315542910568771436012280784207992579.806167469644159514931
13 × 17683 × 239623 × 3040243
2021-01-06239623304024367,2800.04840.0602
3155429121319657716832172498061272683.3271922395619055795147
32 × 11 × 4397 × 100517 × 43935097
2021-11-10100517439350971,059,8180.30710.5517

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
315542925246532928279580229138731807215658336117.604
3155429289806696259795268319850083301052315937121.125
31554291282199733104442741639942340437107074433507443547350163.133
315542930629007333956113205255843205239152446688164816900
53536784041
61200.931
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-02T14:02:35Jocelyn LaroucheManual testing157771157771-
skipped known factor: 238878597017
--0.019--1.109%
2021-01-04T16:58:30Jocelyn LaroucheManual testing315542315542-
skipped known factor: 238878597017
--0.039--1.567%
2021-01-06T11:50:15Jocelyn LaroucheManual testing315542315542962579.8060.0580.5370.1163.342%
2021-11-10T02:31:36Jocelyn LaroucheManual testing3155429731085122683.3270.3890.5370.7793.780%
2021-12-20T08:15:54Jocelyn LaroucheManual testing3155429116689650-
skipped known factor: 238878597017
skipped known factor: 1056877143601228078420799
skipped known factor: 12131965771683217249806127
--1.153--8.286%
2022-01-19T07:44:46Jocelyn LaroucheManual testing3155429339011400-
skipped known factor: 238878597017
skipped known factor: 1056877143601228078420799
skipped known factor: 12131965771683217249806127
--2.648--9.630%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-01-04T08:51:31Jocelyn LaroucheManual testing260261--0.049--
2021-01-04T16:58:31Jocelyn LaroucheManual testing261262--0.097--
2021-01-05T11:55:33Jocelyn LaroucheManual testing262263--0.311--
2021-01-06T11:50:36Jocelyn LaroucheManual testing263264--0.622--
2021-01-10T18:16:24Jocelyn LaroucheManual testing264265--1.184--
2022-03-24T17:59:15LordJuliusManual testing265266--2.368--
2022-03-24T17:59:15LordJuliusManual testing266267--4.736--
2021-09-24T12:47:11Jocelyn LaroucheManual testing267268--9.473--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3155429


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-31T16:13:57Oliver KruseGTX-3
238878597017
F1329EEB2120F0__no
2017-12-12T15:29:58kkmrkkblmbrbkc4.xlarge
238878597017
F1329EEB2120F0__no
2021-01-07T12:13:55seatseadt
238878597017
1056877143601228078420799
F1329EEB2120F001no
2021-11-10T18:02:00SRJ2877LTOS
238878597017
1056877143601228078420799
12131965771683217249806127
F1329EEB2120F001no


P-1 factor-bounds graph:
B1 = 3155429, B2 = 339011400 (P-1 stage 2)
B1 = 3155429, B2 = 116689650 (P-1 stage 2)
B1 = 3155429 (P-1 stage 1)
B1 = 315542, B2 = 3155429 (P-1 stage 2)
B1 = 315542 (P-1 stage 1)
B1 = 157771 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-24T17:59:15+00:00