is 2 5428427 - 1
has 1634120 decimal digits
takes 0.857 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE44BA407810D9A2Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2675.473865.6716%5000050000000.07323.2095%5.547066.7734%1.1018%
PrimeNet2620.113262.9032%240005500000.01213.1544%0.125264.0734%1.1702%
GPU722662.720665.1515%320006500000.01502.0774%2.735665.8754%0.7239%
Difference+1+2.7532+0.5201%+18000+4350000+0.0582+1.1322%+2.8114+0.8980%+0.3779%

Known prime factors (1 factor, 65.1 bits, 0.00119991% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5428427405526449280043927512065.1363735211409125
53 × 7 × 4268813039
2015-04-1012542688130392.710153.25599.466

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers2000020000---0.005--0.375%
2001-05-20T00:00:00ANONYMOUSv4_computers25000187500---0.008--1.179%
2001-12-22T00:00:00ANONYMOUSv4_computers25000187500---0.008--1.179%
2002-01-02T00:00:00ANONYMOUSv4_computers25000187500---0.008--1.179%
2010-10-25T03:24:00Squeeky_SquirrelP4_260060000960000---0.025--2.325%
unknown500005000000---0.073--3.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-23T00:00:00ANONYMOUSv4_computers21261--0.057--
1998-06-20T00:00:00ANONYMOUSv4_computers21262--0.113--
2009-05-13T02:04:00GrunwalderGIMPManual testing262263--0.181--
2015-01-02T11:57:00NesowaManual testing263264--0.362--
2015-01-03T21:22:00monstManual testing264265--0.688--


ECM factoring results:
Total ECM effort:0.720 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-02T00:00:00ANONYMOUSv4_computersE44BA407810D9A2F0.857
2000-10-15T00:00:00ANONYMOUSv4_computersA4283713959687__0.857
2001-07-17T00:00:00ANONYMOUSv4_computersE44BA407810D9A2F0.857
2001-12-22T00:00:00ANONYMOUSv4_computersE44BA407810D9A2F0.857
2002-01-02T00:00:00ANONYMOUSv4_computersE44BA407810D9A2F0.857


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-01T16:27:54kkmrkkblmbrbkc4.xlarge
40552644928004392751
D6A5080E4BE7EA__no
2018-06-24T01:09:46Martin RussellThunderChoad
40552644928004392751
D6A5080E4BE7EA__no


P-1 factor-bounds graph:
B1 = 50000, B2 = 5000000 (P-1 stage 2)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 187500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2018-06-24T01:09:46+00:00