is 2 2087011 - 1
has 628253 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1AE3C7B4DD182370double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.237568.6567%500000150000000.12305.1493%14.360570.2707%1.6140%
PrimeNet2580.018463.7931%90001600000.00162.6746%0.020064.7615%0.9684%
GPU722620.294466.1290%90001400000.00151.3999%0.295966.6032%0.4741%
Difference+5+13.9432+2.5277%+491000+14860000+0.1214+3.7495%+14.0646+3.6675%+3.6675%

Known prime factors (2 factors, 154.6 bits, 0.00740947% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2087011473880485954915195992065.36111353090279709
181 × 197 × 227 × 349 × 4019
2002-03-1034940195.00635.234e-56.772e-5
20870117490748331825612033050467292789.275179461160765937794124
22 × 32 × 1289 × 1915933 × 2018527807
2022-05-2319159332018527807104,073,49110.65719.583

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20870113549719459651491377040811337903924979791434167147154.636
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:43:23alpertronManual testing5000001500000012-
skipped known factor: 47388048595491519599
--0.123--5.149%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-03-10T00:00:00ANONYMOUSv4_computers??65.361201.5110.2793.067
1999-01-17T00:00:00S00030v4_computers21258--0.018--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.039 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.039 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.32326.625%
25500000.12388.422%
302500000.00899.223%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.105
50000635000060.566
50000675000070.680
50000690000070.687


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00S00030v4_computers1AE3C7B4DD1823700.137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T18:21:23Oliver KruseGTX-0
47388048595491519599
33E8A67CE88D83__no
2017-11-16T22:14:25kkmrkkblmbrbkold
47388048595491519599
33E8A67CE88D83__no
2022-05-30T01:45:46kutensterra
47388048595491519599
749074833182561203305046729
DEA9F03840EC398Cno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
2
250
260
270
280
290
2100
Last modified: 2022-07-11T19:45:20+00:00