is 2 73517 - 1
has 22131 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
Actualunknown10000000009177934077312010,616.032876.2811%10,616.032876.2811%76.2811%
PrimeNet2400.000057.5000%700100000.00005.6852%0.000059.9162%2.4162%
GPU722440.000061.3636%500100000.00002.2763%0.000062.2431%0.8795%
Difference-440.0000-61.3636%+999999500+91779340763120+10,616.0328+74.0048%+10,616.0328+14.0380%+75.4016%

Known prime factors (4 factors, 345.0 bits, 0.46927570% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
735177768077945606454808392169.3965283184804607407
1567 × 231107 × 14588603
2014-04-23231107145886032,872.60.00220.0032
7351790487962805912575843912272.93861542203031892335
3 × 5 × 11243989 × 364889501
2011-01-201124398936488950116,4300.06480.0788
73517545330505671788020171532375.530370887349641435328
26 × 13 × 7949 × 11827 × 4741673
2008-08-26118274741673185,8200.00060.0010
7351718664093876418004667656072187235974161739127.1341269372653700368939677630492759224
23 × 32 × 163 × 5009 × 4698581 × 386540857 × 11889288953
2022-04-11386540857118892889531.989e+122.15072.5680

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
73517702917548215466656156278191507459781598404943142.334
735174236169874175432235536083321907672681083136744144.926
7351749345846514158251353549295353928312092705882345148.468
7351714498413601613118713532224256326517028482183462044
8764376663
60196.530
7351716888758324953730742192666704685083848597534042194
24332300247
61200.072
7351710178099751532752750039671082839259460050183075636
189481956401
62202.663
7351738332238201391386847185887045589568633871147141037
3939266872392497
66217.864
7351713119319107275048761780016730227213418961914861524
81022411644103971366498233467233
82269.468
7351779064272208064114117311368991492473683190342656075
97899554586022930554753078900439
82272.059
7351792099551175156376055500638237526580993916621030224
276230640172729629783336040136791
83275.601
7351771543649228398529242359506319537932873796177297800
58987533445668522068853476060437696456106339352944
7649
104344.997
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-30T21:51:24kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 776807794560645480839
skipped known factor: 9048796280591257584391
skipped known factor: 54533050567178802017153
--0.432--40.206%
2022-04-11T01:59:34George WoltmanSkylakeX10000000009177934077312039127.13410,6160.00021,23267.636%


Trial Factoring results:
No TF results for M73517


ECM factoring results:
Total ECM effort:11.733 GHz-days
Estimated T-Level:31.112
DigitsB1CompleteFacMiss
2011000103.3750.000%
255000016.9350.000%
302500002.13711.797%
3510000000.22280.058%
4030000000.02098.050%
45110000000.00299.850%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
110001100000300.010
5000050000002710.414
250000250000006294.803
10000001000000002136.506


Lucas-Lehmer results:
No L-L results for M73517


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:22:46Oliver KruseOliver-PCDF951FFE4AB51D__?
2017-09-21T20:28:31Oliver KruseManual testingDF951FFE4AB51D__?
2017-10-02T17:59:08kkmrkkblmbrbkManual testing
776807794560645480839
9048796280591257584391
54533050567178802017153
DF951FFE4AB51D__no
2017-12-07T03:39:29ATHxps
776807794560645480839
9048796280591257584391
54533050567178802017153
DF951FFE4AB51D__no
2020-04-17T15:15:57Oliver KruseAddPrpType5
776807794560645480839
9048796280591257584391
54533050567178802017153
B97902413BCB78__no
2022-04-11T02:15:13George WoltmanManual testing
776807794560645480839
9048796280591257584391
54533050567178802017153
186640938764180046676560721872359741617
B97902413BCB7898no
2022-04-11T21:48:11Denial140laptop
776807794560645480839
9048796280591257584391
54533050567178802017153
186640938764180046676560721872359741617
B97902413BCB7898no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 91779340773120 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-04-11T21:48:11+00:00