is 2 137791 - 1
has 41480 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD262CBF7B051F637double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267215.644873.1343%1302179437091557503093.661717.4808%309.306577.8307%
Target2440.000059.0909%24003600000.00016.7391%0.000161.8478%
Difference+23+215.6448+14.0434%+13019394+370915215030+93.6616+10.7417%+309.3064+15.9829%

Known prime factors (1 factor, 129.6 bits, 0.09404647% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
137791102269639385311157784608391705550013431940129.5883711042063172165010218678712889449
29 × 193 × 663041283396849206756955281917
2023-04-181936630412833968492067569552819171.334e+121.673e+203.125e+20

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.011--4.451%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.393%
2002-07-20ANONYMOUSv4_computers655366553600---0.002--2.027%
2003-02-09ANONYMOUSv4_computers13107213107200---0.004--2.788%
2003-09-29ANONYMOUSv4_computers26214426214400---0.008--3.667%
2012-05-08Jocelyn LaroucheManual testing1302079413020794---0.060--4.397%
2013-03-25alpertronManual testing1000000002000000000---0.943--12.002%
2022-11-05Kevin_9611PRP-CF5000000152013811950---38.38--15.154%
2023-02-17Jocelyn LaroucheManual testing13021794370915575030---93.66--17.481%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-04-18masserManual testing50000000405000000027P+140129.5881.388
2023-04-20masserManual testing50000000305000000019613P+140129.5881.132
2023-05-08masserManual testing50000000250000000065P+140129.5880.991


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-07ANONYMOUSv4_computers252253--0.004--
2000-04-27ANONYMOUSv4_computers21254--0.017--
2022-03-07LordJuliusManual testing254255--0.017--
2000-12-31ANONYMOUSv4_computers21256--0.070--
2002-06-23ANONYMOUSv4_computers21257--0.139--
2016-02-23Mark RoseManual testing257258--0.139--
2009-01-01Sturle Sundegilia.ifi258259--0.279--
2009-01-24Sturle Sundegopher.ifi259260--0.557--
2013-09-22lycornasteroid260261--1.115--
2015-08-22NRManual testing261262--2.229--
2016-03-06Gordon SpenceManual testing262263--7.124--
2016-03-06Gordon SpenceManual testing263264--14.25--
2018-05-07chuenkitManual testing264265--27.12--
2019-08-04YxinityManual testing265266--54.23--
2022-02-18LordJuliusManual testing266267--108.5--


ECM factoring results:
Total ECM effort:136.509 GHz-days
Estimated T-Level:35.654
DigitsB1CompleteFacMiss
2011000341.9470.000%
255000066.3250.000%
3025000010.0760.004%
3510000001.25528.494%
4030000000.13187.742%
45110000000.01298.839%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002650.889
250000250000005889.86
10000001000000001,533102.8
300000030000000011422.94


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Kevin JagetD262CBF7B051F6370.000
2016-06-01MadPooManual testingD262CBF7B051F6370.000


PRP results:
dateuseridcompidcofactorsres64PRP
2023-04-18masserManual testing
1022696393853111577846083917055500134319
AE78095DB5E1E2C7no


P-1 factor-bounds graph:
B1 = 13021794, B2 = 370915575030 (P-1 stage 2)
B1 = 5000000, B2 = 152013811950 (P-1 stage 2)
B1 = 50000000, B2 = 4050000000 (P+1 stage 2)
B1 = 50000000, B2 = 3050000000 (P+1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 50000000, B2 = 2500000000 (P+1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 50000000 (P+1 stage 1)
B1 = 13021794 (P-1 stage 1)
B1 = 13020794 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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266
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262
261
260
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253
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=35.65 ~= 102-bit
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Last modified: 2023-06-05T21:50:05+00:00