is 2 27133867 - 1
has 8168108 decimal digits
takes 25.118 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L87715937F08EC014double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27117.619264.7887%135000013500001.81202.7627%19.431367.5514%5.4302%
PrimeNet2660.544362.1212%12000045000000.48145.2122%1.025767.3334%5.2122%
GPU722708.806464.2857%20000060000000.69263.9037%9.499068.1894%3.9037%
Difference+1+8.8129+0.5030%+1150000-4650000+1.1194-1.1410%+9.9323-0.6380%-0.6380%

Known prime factors (1 factor, 103.5 bits, 0.00038127% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
271338671387384604023005328254747388343932103.452255655525256132000693957
19 × 61 × 263 × 1531 × 5563 × 109829 × 896633
2021-03-081098298966336.522e+90.20500.3000

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-07-01T00:00:00ahmeraliv4_computers420000420000---0.564--1.736%
2021-03-08T20:26:54firejugglerMaison1350000135000032103.4521.81250.243.6242.763%


P+1 Factoring results:
dateuseridcompidb1b2startfactordigitsbits*ghz-days
2021-05-14T11:35:58firejugglerMaison5000002300000065--2.633


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00Net_Forcev4_computers?256--0.000--
2002-08-31T00:00:00Jocelyn Larouchev4_computers?257--0.001--
2004-03-16T00:00:00ANONYMOUSv4_computers?262--0.011--
2004-12-13T00:00:00ANONYMOUSv4_computers?267--0.551--
2011-12-16T00:57:00David CampeauManual testing267268--1.102--
2011-12-20T09:36:00Aaron HavilandManual testing268269--2.203--
2017-03-22T21:41:17ramgeisManual testing269270--4.406--
2021-02-18T19:25:09mikrManual testing270271--8.813--


ECM factoring results:
Exponent "27133867" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-07-17T00:00:00ahmeraliv4_computers87715937F08EC01425.12
2012-01-04T05:14:00GrunwalderGIMPGWPrime0187715937F08EC01425.12


PRP results:
Exponent "27133867" not found


P-1 factor-bounds graph:
B1 = 1350000 (stage 1)
B1 = 420000 (stage 1)
104
105
106
107
104
105
106
107
TF factor-bounds graph:
271
270
269
268
267
262
257
256
250
260
270
280
290
2100
2110
Last modified: 2021-05-14T11:35:58+00:00