is 2 9214847 - 1
has 2773946 decimal digits
takes 2.547 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E8C9999B383F3AFdouble-checked
PRP007C65EE58ACBC2CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26912.955965.2174%2000000404795391089.143812.4804%102.099769.5584%4.3410%
PrimeNet2640.386362.5000%4000010000000.03703.4098%0.423363.7787%1.2787%
GPU722686.468464.7059%6000013000000.05112.4089%6.519565.5561%0.8502%
Difference+1+6.4876+0.5115%+1940000+4046653910+89.0927+10.0715%+95.5803+4.0023%+3.4908%

Known prime factors (1 factor, 135.7 bits, 0.00147274% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
92148477126465412855652025076563862600227696171341135.7103866838707607219102539935748580648
23 × 3 × 172 × 233 × 80341 × 85733 × 150769 × 1007771 × 2286293
2021-07-18100777122862931.934e+100.43180.8220

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-06-01T00:00:00Team Prime Ribv4_computers45000506250---0.028--1.547%
2012-09-26T05:25:00NesowaOutback1100002035000---0.086--2.679%
2021-07-18T05:21:16ThaZ-170200000016200000041135.7104.2955.0948.5908.591%
2022-03-13T10:39:32ThaZ-1702000000404795391041135.71089.145.094178.312.480%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21261--0.033--
1999-02-07T00:00:00ANONYMOUSv4_computers21262--0.067--
1999-07-27T00:00:00ANONYMOUSv4_computers21264--0.386--
2013-09-08T03:09:00NesowaManual testing264265--0.405--
2015-05-08T13:53:00VictordeHollanderManual testing265266--0.811--
2016-04-26T03:07:51snme2pm1Manual testing266267--1.622--
2017-03-09T02:02:10snme2pm1Manual testing267268--3.244--
2019-10-11T13:01:46mnd9Manual testing268269--6.488--


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)
2000-02-09T00:00:00ANONYMOUSv4_computers7E8C9999B383F3AF2.547
2003-06-17T00:00:00Team Prime Ribv4_computers7E8C9999B383F3AF2.547


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-23T09:17:44LOBESLENOVO
71264654128556520250765638626002276961713
007C65EE58ACBC2Cno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4047953910 (P-1 stage 2)
B1 = 2000000, B2 = 162000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 110000, B2 = 2035000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 45000, B2 = 506250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
262
261
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-03-13T10:39:32+00:00