is 2 1117013 - 1
has 336255 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L763AD3C7513EED1Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.601268.6567%500000050000000.21494.2287%26.816169.9821%1.3254%
PrimeNet2560.008662.5000%4500700000.00032.0801%0.008963.2800%0.7800%
GPU722600.137565.0000%4500220000.00020.6863%0.137765.2402%0.2402%
Difference+7+26.4637+3.6567%+4995500+4978000+0.2146+3.5424%+26.6784+4.7419%+4.7419%

Known prime factors (2 factors, 179.7 bits, 0.01608930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
111701352389083127430646665476012582.1162345052525236082600
23 × 3 × 52 × 17 × 41 × 739 × 7587943837
2018-02-2373975879438371,537,35617.76733.184
11170132408501528505686394790791563933097.604107809914858004624601092
22 × 379 × 809 × 85717 × 557551 × 1839329
2015-03-1255755118393294.062e+100.02700.0488

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
111701312617918678942817778093256610889562434961095348579
63193
55179.720
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-26T00:00:00ANONYMOUSv4_computers15000221250---0.001--0.771%
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2003-02-16T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.473%
2014-03-31T21:13:00Jocelyn LaroucheManual testing500000500000---0.021--1.852%
2015-03-12T13:12:00mikrMSI500000050000003097.6040.2150.0660.4304.229%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-12T00:00:00ANONYMOUSv4_computers21256--0.009--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-02-16T00:00:00ANONYMOUSv4_computers21258--0.034--
2003-03-16T00:00:00ANONYMOUSv4_computers21259--0.069--
2022-03-07T17:30:52LordJuliusManual testing259260--0.069--
2009-02-14T22:56:00Sturle Sundegorky.ifi260261--0.138--
2011-05-09T14:44:00XyzzyManual testing261262--0.275--
2012-10-13T12:00:00dbaughManual testing262263--0.879--
2014-12-22T09:46:00Matthias WurtingerManual testing263264--1.758--
2014-12-31T18:27:00lycornManual testing264265--3.345--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.672 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.672 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002809.88
50000500000010.035
25000025000000447.760


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-03-01T00:00:00ANONYMOUSv4_computers763AD3C7513EED1E0.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T03:36:48Oliver KruseGTX-2
240850152850568639479079156393
D8FD492F49BD65__no
2017-10-16T18:26:17Oliver KruseThreadripper
240850152850568639479079156393
D8FD492F49BD65__no
2018-01-02T09:01:07ATHwork
240850152850568639479079156393
D8FD492F49BD65__no
2018-02-26T14:00:44marcomichsisg6
5238908312743064666547601
240850152850568639479079156393
3ACD6618919137__no
2018-02-28T04:15:34Oliver KruseGTX-0
5238908312743064666547601
240850152850568639479079156393
3ACD6618919137__no
2018-03-07T13:54:28AdolfNorManual testing
5238908312743064666547601
240850152850568639479079156393
3ACD6618919137__no


P-1 factor-bounds graph:
B1 = 5000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 221250 (P-1 stage 2)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
259
258
257
256
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:52+00:00