is 2 27081049 - 1
has 8152209 decimal digits
takes 25.069 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCF3BAAD52129D031double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual275282.555866.6667%60000040410279030.31355.6567%312.869368.5522%
Target2708.823564.2857%20000060000000.69263.9027%9.516165.6795%
Difference+5+273.7323+2.3810%+400000+398102790+29.6209+1.7540%+303.3532+2.8727%

Known prime factors (1 factor, 124.7 bits, 0.00046045% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
270810493441397712254178795850040083934543227138124.694635388553865505504578135079615
3 × 5 × 43 × 433 × 2789 × 9293 × 23801 × 118211 × 31198537
2021-12-31118211311985376.164e+92.43164.2613

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-01ANONYMOUSv4_computers2550001275000---0.417--1.582%
2021-12-31axnManual testing60000040410279038124.69430.3150.1460.635.657%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18Net_Forcev4_computers21256--0.000--
2002-08-31Jocelyn Larouchev4_computers21257--0.001--
2004-03-01ANONYMOUSv4_computers21262--0.023--
2004-10-18korvav4_computers21267--1.097--
2011-10-19Carsten KossendeyManual testing267268--1.104--
2018-04-09VictordeHollanderManual testing268269--2.208--
2018-09-04chuenkitManual testing269270--4.415--
2021-02-15mikrManual testing270271--8.830--
2021-08-23TheJudgerManual testing271272--17.66--
2021-08-23TheJudgerManual testing272273--35.32--
2021-09-19TheJudgerManual testing273274--70.64--
2021-10-11TheJudgerManual testing274275--141.3--


ECM factoring results:
No ECM results for M27081049


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-01-15ANONYMOUSv4_computersCF3BAAD52129D03125.07
2011-11-15ANONYMOUSCF3BAAD52129D03125.07


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-02DobriManual testing
34413977122541787958500400839345432271
88C80C46FC08F387no


P-1 factor-bounds graph:
B1 = 600000, B2 = 404102790 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 255000, B2 = 1275000 (P-1 stage 2)
B1 = 255000 (P-1 stage 1)
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109
TF factor-bounds graph:
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Last modified: 2023-02-02T00:57:52+00:00