is 2 12827821 - 1
has 3861559 decimal digits
takes 5.240 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9B79105E1217E72Bdouble-checked
PRP80A4BE67B52AB5D8PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2784,772.167269.2308%15000021750000.15421.0289%4,772.321469.5474%0.3166%
PrimeNet2640.277562.5000%6000017000000.08854.3289%0.365964.1233%1.6233%
GPU722684.646564.7059%9000024000000.12783.1626%4.774465.8221%1.1162%
Difference+10+4,767.5207+4.5249%+60000-225000+0.0263-2.1337%+4,767.5471+3.7253%-0.7996%

Known prime factors (1 factor, 80.2 bits, 0.00062550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1282782114261928396613711890841692580.23855589832429894804
22 × 3 × 43 × 1069 × 28493 × 3536957
2015-11-2128493353695738,0290.13010.2132

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
unknown1500002175000---0.154--1.029%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21264--0.277--
2012-07-11T04:38:00dbaughManual testing264265--0.291--
2012-07-14T05:30:00dbaughManual testing265266--0.583--
2012-07-14T05:30:00dbaughManual testing266267--1.165--
2012-08-06T09:49:00ANONYMOUSManual testing267268--2.330--
2012-08-09T02:38:00dbaughManual testing268269--4.660--
2012-10-07T08:42:00dbaughManual testing269270--9.321--
2012-10-26T08:00:00dbaughManual testing270271--18.64--
2012-12-08T09:04:00dbaughManual testing271272--37.28--
2013-05-26T08:16:00dbaughManual testing272273--74.57--
2013-09-16T08:12:00dbaughManual testing273274--149.1--
2013-09-16T08:13:00dbaughManual testing274275--298.3--
2014-11-18T08:08:00dbaughManual testing275276--596.5--
2015-11-21T20:21:31dbaughManual testing276277--1,193--
2015-11-21T20:21:31dbaughManual testing277278--2,386--
Missing TF 78 - 79
Missing TF 79 - 80
2015-11-21T20:21:32dbaughManual testing28028180.2382518,94010.6638,543


ECM factoring results:
Total ECM effort:23.361 GHz-days
Estimated T-Level:3.010
DigitsB1CompleteFacMiss
20110000.60254.771%
25500000.05794.455%
302500000.00499.591%


ECM Summary

B1B2factorcurvesGHz-days
500005000000106.211
5000005000000517.15


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-09-02T00:00:00Team Prime Ribv4_computers9B79105E1217E72B5.240


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-14T16:06:55XZT7060Micro4
1426192839661371189084169
80A4BE67B52AB5D8no


P-1 factor-bounds graph:
B1 = 150000, B2 = 2175000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
281
278
277
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2022-05-14T16:06:55+00:00