is 2 27288977 - 1
has 8214801 decimal digits
takes 25.261 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8398322268B3ECD5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275280.402966.6667%30000009000000010.38915.5299%290.792068.5100%1.8433%
PrimeNet2660.541262.1212%12000045000000.48145.2161%1.022664.0970%1.9758%
GPU722708.756364.2857%20000060000000.69263.9067%9.448965.6809%1.3952%
Difference+5+271.6466+2.3810%+2800000+84000000+9.6965+1.6233%+281.3431+2.8290%+2.8290%

Known prime factors (2 factors, 168.2 bits, 0.00061654% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27288977967112687059692388048492376.3561771984136781112
23 × 59 × 292037 × 12855233
2021-11-2429203712855233909.441.31071.7558
2728897745909950106723680271491536632891.89184118122322290938703
3 × 321547 × 2746973 × 31744571
2021-11-2427469733174457131,753,8695.80777.5040

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2728897744400095210489949750948434300227074209598797051188
7
51168.247
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-04-02T00:00:00ANONYMOUSv4_computers3250008043750---1.001--2.642%
2021-11-24T19:27:00LuminescenceManual testing30000009000000051168.24710.3950.5220.785.530%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-11-05T00:00:00Jocelyn Larouchev4_computers21254--8.79420e-5--
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-13T00:00:001997rj7v4_computers21262--0.023--
2004-11-03T00:00:00ANONYMOUSv4_computers21267--1.089--
2016-01-25T08:39:44NRManual testing267268--1.095--
2018-04-09T13:24:46VictordeHollanderManual testing268269--2.191--
2018-09-26T17:50:47ramgeisManual testing269270--4.381--
2021-02-27T19:40:40mikrManual testing270271--8.763--
2021-08-22T11:06:42TheJudgerManual testing271272--17.53--
2021-08-25T16:07:53TheJudgerManual testing272273--35.05--
2021-09-12T12:41:11TheJudgerManual testing273274--70.10--
2021-10-11T20:29:59TheJudgerManual testing274275--140.2--


ECM factoring results:
No ECM results for M27288977


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-11-27T00:00:00ANONYMOUSv4_computers8398322268B3ECD525.26
2011-03-15T12:18:00jetsetbaxter8398322268B3ECD525.26


PRP results:
No PRP results for M27288977


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 325000, B2 = 8043750 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
104
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108
TF factor-bounds graph:
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2100
Last modified: 2021-11-24T19:27:01+00:00