is 2 77069 - 1
has 23201 decimal digits
takes 0.000 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
Actualunknown100000000014637142855335017,347.070877.3496%17,347.070877.3496%77.3496%
PrimeNet2400.000057.5000%800120000.00006.2741%0.000060.1665%2.6665%
GPU722440.000061.3636%500100000.00002.3067%0.000062.2549%0.8912%
Difference-440.0000-61.3636%+999999500+146371428543350+17,347.0708+75.0429%+17,347.0708+15.0947%+76.4584%

Known prime factors (3 factors, 267.0 bits, 0.34643528% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
770691078967720.0417
7
-171.815e-122.886e-94.426e-9
77069104397142390169632926470671814781734109.6866772965938974790961766123332
22 × 3 × 487 × 1559 × 7919 × 81660611 × 1149581063
2016-12-138166061111495810631.754e+120.30420.3615
7706920968486342767001469811662090225613409419142137.2671360370988514642818111799951356940755
32 × 5 × 59 × 1327 × 13648307 × 975963617 × 28987415961617
2022-02-02975963617289874159616172.458e+123,437.06,415.6

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
77069112641071533294158329775281355979566503940129.727
7706922624304803796283274878279610504459423520698069748157.308
7706921890500544321739447392512546315942793727852829717
4689528188997448539031047
75246.953
7706923619127700805194246334757084560873848320160184121
7683236161498010057812711688449
81266.994
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-13T05:38:35kkmrkkblmbrbkManual testing10000000020000000001234109.6860.4430.0000.88540.294%
2022-02-02T00:50:11George WoltmanSkylakeX100000000014637142855335042137.26717,3470.00034,69468.661%


Trial Factoring results:
No TF results for M77069


ECM factoring results:
Total ECM effort:11.401 GHz-days
Estimated T-Level:31.054
DigitsB1CompleteFacMiss
201100097.9910.000%
255000016.0260.000%
302500002.02313.224%
3510000000.21180.987%
4030000000.01998.146%
45110000000.00199.857%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.010
5000050000002740.429
250000250000005854.577
10000001000000002046.385


Lucas-Lehmer results:
No L-L results for M77069


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:27:13Oliver KrusePRP
1078967
1043971423901696329264706718147817
58EBD0B46441A5ECno
2017-09-21T21:30:00Oliver KruseManual testing
1078967
1043971423901696329264706718147817
58EBD0B46441A5ECno
2017-10-02T18:01:01kkmrkkblmbrbkManual testing
1078967
1043971423901696329264706718147817
58EBD0B46441A5__no
2017-12-07T03:44:25ATHxps
1078967
1043971423901696329264706718147817
58EBD0B46441A5__no
2020-04-17T15:15:10Oliver KruseAddPrpType5
1078967
1043971423901696329264706718147817
E9AFF2E9F8FDA2__no
2022-02-02T15:46:00SRJ2877LTOS
1078967
1043971423901696329264706718147817
209684863427670014698116620902256134094191
E9AFF2E9F8FDA278no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 146371428553350 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-02T15:46:00+00:00