is 2 2078627 - 1
has 625730 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFF7112E0EA2D0959double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.295068.6567%224649289859680.24925.2327%14.544270.2968%1.6401%
PrimeNet2580.018563.7931%90001600000.00162.6726%0.020164.7608%0.9677%
GPU722620.295666.1290%90001300000.00151.3675%0.297066.5922%0.4632%
Difference+5+13.9994+2.5277%+2237492+8855968+0.2477+3.8651%+14.2471+3.7046%+3.7046%

Known prime factors (1 factor, 86.5 bits, 0.00416171% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20786271099038889782600246286991292786.50626436654815476760532
22 × 34 × 149 × 2467 × 221976026171
2017-07-26246722197602617113,923,2971,153.02,153.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-25T14:54:00harleeP4_260020000260000---0.003--1.018%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-21T10:13:00James HeinrichQ66001350003105000---0.028--3.096%
2014-11-12T02:17:00Jocelyn LaroucheManual testing165878165878---0.016--1.210%
2015-01-29T22:02:00Jocelyn LaroucheManual testing207347207347---0.020--1.357%
2015-01-30T21:42:00Jocelyn LaroucheManual testing228081228081---0.022--1.422%
2015-02-01T13:32:00Jocelyn LaroucheManual testing250889250889---0.024--1.490%
2015-02-02T07:32:00Jocelyn LaroucheManual testing275977275977---0.026--1.559%
2015-02-12T12:33:00Jocelyn LaroucheManual testing444461444461---0.042--1.933%
2015-02-14T12:30:00Jocelyn LaroucheManual testing537797537797---0.051--2.096%
2015-02-16T20:56:00Jocelyn LaroucheManual testing591576591576---0.056--2.181%
2015-02-25T03:47:00Jocelyn LaroucheManual testing650733650733---0.062--2.267%
2015-03-03T20:46:00Jocelyn LaroucheManual testing715806715806---0.068--2.355%
2015-03-12T10:39:00Jocelyn LaroucheManual testing787386787386---0.075--2.445%
2015-03-15T18:55:00Jocelyn LaroucheManual testing866124866124---0.083--2.536%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10480091048009---0.100--2.725%
2015-05-01T17:21:00Jocelyn LaroucheManual testing12680891268089---0.121--2.921%
2015-05-07T16:19:00Jocelyn LaroucheManual testing13948971394897---0.133--3.022%
2015-05-22T00:29:00Jocelyn LaroucheManual testing15343861534386---0.146--3.125%
2015-05-26T18:17:00Jocelyn LaroucheManual testing16878241687824---0.161--3.229%
2015-06-08T13:43:00Jocelyn LaroucheManual testing18566061856606---0.177--3.336%
2015-06-25T21:15:00Jocelyn LaroucheManual testing20422662042266---0.195--3.444%
2015-07-07T18:14:00Jocelyn LaroucheManual testing22464922246492---0.214--3.554%
2016-07-07T00:37:34Jocelyn LaroucheManual testing224649244929846---0.226--4.390%
2016-09-26T02:47:45Jocelyn Larouchelow 4M224649289859686---0.249--5.233%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00Stephen Woodv4_computers21258--0.018--
2016-02-23T16:29:04Mark RoseManual testing258260--0.055--
2009-01-03T07:30:00Sturle Sundehummel.ifi260261--0.074--
2012-03-17T09:48:00Sebastian HornbostelManual testing261262--0.148--
2013-09-02T08:36:00ramgeisManual testing262263--0.472--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.945--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.798--
2015-11-05T09:47:17ramgeisManual testing265266--3.595--
2016-09-12T00:05:07Gordon SpenceManual testing266267--7.190--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.635 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.635 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.550
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00Stephen Woodv4_computersFF7112E0EA2D09590.137
2017-06-06T09:42:52kkmrkkblmbrbkc4.largeFF7112E0EA2D09590.137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:51alpertronManual testing
109903888978260024628699129
CAB54B852CEDF6__no
2017-10-21T07:09:30Oliver KruseThreadripper
109903888978260024628699129
CAB54B852CEDF6__no


P-1 factor-bounds graph:
B1 = 2246492, B2 = 8985968 (P-1 stage 2)
B1 = 2246492, B2 = 4492984 (P-1 stage 2)
B1 = 2246492 (P-1 stage 1)
B1 = 2042266 (P-1 stage 1)
B1 = 1856606 (P-1 stage 1)
B1 = 1687824 (P-1 stage 1)
B1 = 1534386 (P-1 stage 1)
B1 = 1394897 (P-1 stage 1)
B1 = 1268089 (P-1 stage 1)
B1 = 1048009 (P-1 stage 1)
B1 = 866124 (P-1 stage 1)
B1 = 787386 (P-1 stage 1)
B1 = 715806 (P-1 stage 1)
B1 = 650733 (P-1 stage 1)
B1 = 591576 (P-1 stage 1)
B1 = 537797 (P-1 stage 1)
B1 = 444461 (P-1 stage 1)
B1 = 135000, B2 = 3105000 (P-1 stage 2)
B1 = 275977 (P-1 stage 1)
B1 = 250889 (P-1 stage 1)
B1 = 228081 (P-1 stage 1)
B1 = 207347 (P-1 stage 1)
B1 = 165878 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-10-21T07:09:30+00:00