is 2 461101 - 1
has 138806 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB5BE8C1418F5645Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26764.441271.6418%100000004000000000.53379.6650%64.974974.3826%2.7408%
PrimeNet2400.000052.5000%45001500000.000218.4110%0.000261.2452%8.7452%
GPU722440.000056.8182%80002600000.000413.8806%0.000462.8121%5.9939%
Difference+23+64.4412+14.8236%+9992000+399740000+0.5333-4.2156%+64.9745+11.5705%+11.5705%

Known prime factors (1 factor, 96.8 bits, 0.02099697% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4611011396046124883523834444888193533096.817151381814925962406766076
22 × 160687 × 235522809757420337
2017-03-251606872355228097574203375.873e+10219,140,890409,294,156

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.173%
2001-12-22T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.488%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.733%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.463%
2009-08-26T18:57:00Carsten Kossendeyleela461101461101---0.008--1.560%
2010-10-10T14:33:00Rob_Deetwopc5000001000000---0.009--2.139%
2010-10-11T14:24:00Rob_Deetwopc10000002000000---0.018--2.789%
2012-09-12T05:28:00markrManual testing10000000400000000---0.534--9.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.042--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.083--
2016-02-23T16:28:10Mark RoseManual testing258260--0.250--
2011-07-01T20:31:00Sid & AndyBuzz260261--0.333--
2015-07-16T19:11:00NRManual testing261262--0.666--
2015-12-01T22:57:10Gordon SpenceManual testing262263--2.129--
2015-12-01T22:57:10Gordon SpenceManual testing263264--4.258--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.899 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.899 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002803.612
250000250000001419.094
2500002500000030.193


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:40:08MadPooManual testingB5BE8C1418F5645D0.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T11:07:09Oliver KruseDoppelherz
139604612488352383444488819353
15A04524D69E38__no
2017-09-27T07:34:31Oliver KruseManual testing
139604612488352383444488819353
15A04524D69E38__no
2017-11-07T05:09:07kkmrkkblmbrbkc4.xlarge
139604612488352383444488819353
15A04524D69E38__no
2020-04-18T20:08:04Oliver KruseAddPrpType5
139604612488352383444488819353
31FEC2F4AA9601__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 461101 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-21T10:48:38+00:00