is 2 9493151 - 1
has 2857724 decimal digits
takes 2.624 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L8C42E8D60605791Edouble-checked
PRP09218157D6B03E__
unverified PRP test

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272100.739366.6667%20000004660145490102.510810.2003%203.250270.0668%3.4001%
PrimeNet2640.374962.5000%4000011000000.03923.5002%0.414163.8126%1.3126%
GPU722686.278764.7059%6000014000000.05332.4637%6.332065.5754%0.8695%
Difference+4+94.4606+1.9608%+1940000+4658745490+102.4575+7.7367%+196.9181+4.4914%+2.5306%

Known prime factors (1 factor, 127.6 bits, 0.00134386% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
949315125342158024596380627710067713655178335139127.57513347600825372092273529657177925
52 × 17 × 37 × 367 × 4159 × 145807 × 1759231 × 2167985273
2022-06-20175923121679852731.874e+1048.00488.413

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-07-17T00:00:00Ignacio_Larrosav4_computers1050001260000---0.067--1.647%
2018-10-13T07:45:32Squeeky_Squirreli5-5250U_16005450001703125012---0.578--3.945%
2022-06-20T19:31:38ThaZ-1702000000466014549039127.575102.55.248205.010.200%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-21T00:00:00ANONYMOUSv4_computers21255--0.001--
1999-05-09T00:00:00ANONYMOUSv4_computers21264--0.375--
2013-09-04T08:11:00NesowaManual testing264265--0.394--
2015-05-08T13:50:00VictordeHollanderManual testing265266--0.787--
2016-06-22T00:25:05snme2pm1Manual testing266267--1.574--
2016-06-22T00:25:05snme2pm1Manual testing267268--3.149--
2019-09-19T12:06:53mnd9Manual testing268269--6.297--
2021-08-19T12:32:44TJAOIManual testing269270--12.59--
2021-08-28T13:07:38SRBaseManual testing270271--25.19--
2021-10-19T15:35:31SRBaseManual testing271272--50.38--


ECM factoring results:
Total ECM effort:1.261 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-10-15T00:00:00Ignacio_Larrosav4_computers8C42E8D60605791E2.624
2001-06-30T00:00:00Ignacio_Larrosav4_computers8C42E8D60605791E2.624
2003-07-30T00:00:00ANONYMOUSv4_computers8C42E8D60605791E2.624


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-26T23:29:46Poaotencent-CNsh
253421580245963806277100677136551783351
09218157D6B03E__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4660145490 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 545000, B2 = 17031250 (P-1 stage 2)
B1 = 545000 (P-1 stage 1)
B1 = 105000, B2 = 1260000 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
255
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-06-26T23:29:46+00:00