is 2 16759 - 1
has 5045 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD5E6C30F518E48B4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,773.012677.6119%100000000000803489419221489001,512,869.337040.4012%1,514,642.349686.6570%9.0450%
PrimeNet2400.000062.5000%500100000.00003.5292%0.000063.8235%1.3235%
GPU722440.000165.9091%500100000.00001.4788%0.000166.4132%0.5041%
Difference+23+1,773.0124+11.7028%+99999999500+80348941922138900+1,512,869.3370+38.9224%+1,514,642.3494+20.2438%+8.5409%

Known prime factors (1 factor, 123.8 bits, 0.73884564% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
167591881392425510460677295815540642193764938123.823561308080885035108686620783054536
23 × 3 × 31 × 1590271 × 16185223 × 29311532969742293
2009-06-0616185223293115329697422938.884e+12551,8871,030,772

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.000--1.776%
2001-07-29T00:00:00Alex Kruppav4_computers1000000100000000---0.002--4.441%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.002--4.441%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---3.62019e-5--0.576%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---7.24038e-5--0.940%
2002-07-14T00:00:00ANONYMOUSv4_computers655366553600---0.000--1.422%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.000--2.027%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.001--2.749%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.001--3.579%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.002--4.508%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.005--5.529%
2003-07-06T00:00:00ANONYMOUSv4_computers4194304419430400---0.009--6.635%
2003-09-29T00:00:00ANONYMOUSv4_computers8388608838860800---0.019--7.821%
2003-09-29T00:00:00ANONYMOUSv4_computers167772161677721600---0.037--9.075%
2022-04-14T06:01:50-Anonymous-T58101000000000008034894192214890038123.8231,512,8697.98846e-63,025,73940.401%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.036--
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.072--
2000-09-23T00:00:00ANONYMOUSv4_computers21256--0.573--
2002-10-12T00:00:00ANONYMOUSv4_computers21257--1.146--


ECM factoring results:
Total ECM effort:11.442 GHz-days
Estimated T-Level:35.801
DigitsB1CompleteFacMiss
2011000247.2770.000%
255000052.3220.000%
302500009.0780.011%
3510000001.31526.835%
4030000000.16085.191%
45110000000.01798.312%
50440000000.00299.842%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000009580.238
25000025000000600.075
9500009500000010.005
10000001000000005572.770
30000003000000005608.354


Lucas-Lehmer results:
No L-L results for M16759


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:17:44Oliver KruseOliver-PC
18813924255104606772958155406421937649
FB6C7A118DB2AC__no
2017-09-21T19:22:21Oliver KruseManual testing
18813924255104606772958155406421937649
FB6C7A118DB2AC__no
2017-10-12T16:01:26kkmrkkblmbrbkManual testing
18813924255104606772958155406421937649
FB6C7A118DB2AC__no
2020-04-17T13:47:59Oliver KruseManual testing
18813924255104606772958155406421937649
00671930C6DF86__no


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 80348941922148900 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-14T06:01:50+00:00