is 2 27369271 - 1
has 8238972 decimal digits
takes 25.336 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB4BCB5ABB12C7EAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual274139.786966.2162%1200000672000006.43735.2270%146.224267.9821%1.7659%
PrimeNet2660.539662.1212%12000045000000.48145.2182%1.021064.0978%1.9766%
GPU722708.730664.2857%20000060000000.69263.9082%9.423265.6815%1.3958%
Difference+4+131.0563+1.9305%+1000000+61200000+5.7447+1.3188%+136.8010+2.3006%+2.3006%

Known prime factors:
No known factors for M27369271

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-01-20T00:00:00ANONYMOUSv4_computers420000420000---0.564--1.210%
2021-10-13T21:31:32Oliver KruseManual testing120000067200000---6.437--5.227%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-29T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-08-20T00:00:00ANONYMOUSv4_computers21262--0.022--
2004-11-03T00:00:00ANONYMOUSv4_computers21267--1.086--
2011-10-04T08:12:00Carsten KossendeyManual testing267268--1.092--
2012-01-02T22:43:00Carsten KossendeyManual testing268269--2.184--
2017-04-05T12:57:31ramgeisManual testing269270--4.369--
2021-03-04T06:30:23mikrManual testing270271--8.737--
2021-08-22T11:17:40TheJudgerManual testing271272--17.47--
2021-08-25T16:47:43TheJudgerManual testing272273--34.95--
2021-09-12T12:24:59TheJudgerManual testing273274--69.90--


ECM factoring results:
No ECM results for M27369271


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-04-02T00:00:00ANONYMOUSv4_computersBB4BCB5ABB12C7EA25.34
2012-05-17T01:56:00NovecPC_TTS_01BB4BCB5ABB12C7EA25.34


PRP results:
No PRP results for M27369271


P-1 factor-bounds graph:
B1 = 1200000, B2 = 67200000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 420000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
274
273
272
271
270
269
268
267
262
261
256
250
260
270
280
290
2100
Last modified: 2021-10-13T21:31:32+00:00