is 2 359663 - 1
has 108270 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5E553BD18AADD4F0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26782.616071.6418%131072131072000.01183.2058%82.627872.5509%0.9091%
PrimeNet2400.000052.5000%36001100000.000116.6739%0.000160.4201%7.9201%
GPU722440.000056.8182%65001800000.000212.3274%0.000262.1414%5.3232%
Difference+23+82.6160+14.8236%+124572+12927200+0.0116-9.1216%+82.6275+10.4095%+10.4095%

Known prime factors (1 factor, 89.9 bits, 0.02500801% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35966311912688440327752981280352412889.9451656090345730274309740
22 × 5 × 37 × 2293 × 975996479137607
2011-02-022293975996479137607618,693,950747,4781,396,080

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-25T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.425%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.658%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.368%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.206%
2006-01-15T00:00:00Jocelyn Larouchev4_computers359663359663---0.005--1.334%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.027--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.053--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.107--
2008-12-29T17:35:00Sturle Sundehindemith.ifi258259--0.107--
2009-01-24T22:20:00Sturle Sundepapageno.ifi259260--0.214--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.153 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000393 / 1003.9301.926%
2550000393 / 2801.40424.510%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.153 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100022.6680.000%
25500002.9145.424%
302500000.28075.590%
3510000000.02297.865%
4030000000.00199.861%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002492.609
250000250000001447.544


Lucas-Lehmer results:
No L-L results for M359663


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T02:33:58Oliver KruseOllaptop
1191268844032775298128035241
DF63A7DD71FDA7__no
2017-11-02T07:19:17kkmrkkblmbrbkc4.xlarge
1191268844032775298128035241
DF63A7DD71FDA7__no
2020-04-18T15:17:41Oliver KruseAddPrpType5
1191268844032775298128035241
DF177DFA9D547E__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 359663 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-18T15:17:41+00:00