is 2 174481 - 1
has 52525 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3A9810210C16DE87double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267170.298973.1343%10000000020000000001.360712.2097%171.659676.4145%3.2802%
PrimeNet2400.000055.0000%1900400000.000011.6020%0.000060.2209%5.2209%
GPU722440.000059.0909%3200650000.00008.1079%0.000162.4078%3.3169%
Difference+23+170.2989+14.0434%+99996800+1999935000+1.3607+4.1018%+171.6596+14.0068%+14.0068%

Known prime factors (1 factor, 74.4 bits, 0.04261810% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
174481242514338223964798777212374.36069495915951870060
22 × 3 × 5 × 16553 × 69973132717
2009-03-17165536997313271729,04725.49047.608

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.568%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.455%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.887%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.784%
2009-01-27T05:10:00axnManual testing5000000200000000---0.104--7.612%
2017-06-02T17:28:08kkmrkkblmbrbkManual testing100000000200000000012---1.361--12.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:17:24LordJuliusManual testing254255--0.014--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.055--
2002-06-02T00:00:00ANONYMOUSv4_computers21257--0.110--
2022-03-07T04:17:24LordJuliusManual testing257258--0.110--
2009-01-01T04:28:00Sturle Sundehummel.ifi258259--0.220--
2009-02-07T02:30:00Sturle Sundefigaro.ifi259260--0.440--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.260 GHz-days
Estimated T-Level:29.469
DigitsB1CurvesCompleteFacMiss
2011000849 / 1008.4900.020%
2550000849 / 2803.0324.795%
30250000572 / 6400.89440.883%

New Calculation Method

Total ECM effort:15.260 GHz-days
Estimated T-Level:29.469
DigitsB1CompleteFacMiss
201100062.6540.000%
25500009.0420.012%
302500000.95238.606%
3510000000.07892.473%
4030000000.00599.478%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.347
2500002500000057213.91


Lucas-Lehmer results:
No L-L results for M174481


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:21:12Oliver KruseOllaptop
24251433822396479877721
E232CC2AB897B0__no
2017-09-22T10:02:02Oliver KruseManual testing
24251433822396479877721
E232CC2AB897B0__no
2017-09-22T10:04:29Oliver KruseManual testing
24251433822396479877721
E232CC2AB897B0__no
2017-11-06T13:36:26kkmrkkblmbrbkc4.xlarge
24251433822396479877721
E232CC2AB897B0__no
2020-04-17T17:57:37Oliver KruseAddPrpType5
24251433822396479877721
72704083687431__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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1010
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TF factor-bounds graph:
267
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258
257
256
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254
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2100
Last modified: 2022-03-07T04:17:24+00:00