is 2 1701509 - 1
has 512206 decimal digits
takes 0.080 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L74EEEE509DCC0E29double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.463368.6567%30000002730000001.20869.5049%18.671871.6359%2.9791%
PrimeNet2570.011363.1579%80001300000.00102.7318%0.012364.1643%1.0064%
GPU722610.180565.5738%70001000000.00081.3016%0.181466.0218%0.4481%
Difference+6+17.2827+3.0829%+2993000+272900000+1.2077+8.2033%+18.4905+5.6140%+5.6140%

Known prime factors (2 factors, 176.7 bits, 0.01038741% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
170150931899472827476585744399272581.400937387719591156607
479 × 264919 × 7387043207
2014-09-192649197387043207475,15727.48251.296
1701509502430165139021177473815102632995.34314764252353029610112959
3 × 1589183521 × 3096821346293
2021-05-25158918352130968213462938.614e+911,61621,505

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
170150916027257400556779782464937933701072431745325062747
0801
54176.743
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-27T22:35:00Jocelyn LaroucheManual testing5000050000---0.003--0.571%
2011-02-07T12:49:00Carsten Kossendeyleela900001507500---0.011--2.352%
2014-03-31T21:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.883%
2014-05-03T00:50:00Jocelyn LaroucheManual testing150000150000---0.010--1.108%
2016-03-16T12:29:21alpertronManual testing5000001500000012---0.088--5.024%
2021-07-15T20:18:31Dylan Delgadolaptop-ryzen737003000000273000000---1.209--9.505%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-14T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-02-09T00:00:00ANONYMOUSv4_computers21258--0.023--
2010-04-22T12:40:00Architects Cubeda3_bu2260261--0.090--
2010-10-04T14:38:00GrunwalderGIMPManual testing21263--0.938--


ECM factoring results:

Old Calculation Method

Total ECM effort:205.148 GHz-days
Estimated T-Level:30.000
DigitsB1CurvesCompleteFacMiss
2011000891 / 1008.9100.013%
2550000891 / 2803.1824.126%
30250000640 / 6401.00036.759%

New Calculation Method

Total ECM effort:205.148 GHz-days
DigitsB1CompleteFacMiss
201100061.4300.000%
25500008.4430.022%
302500000.87741.590%
3510000000.07193.118%
4030000000.00599.529%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025014.86
50000500000010.059
25000025000000520154.6
2500002500000012035.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers74EEEE509DCC0E290.080


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T03:20:26Oliver KruseGTX-1
3189947282747658574439927
2EE7BAA82FA158__no
2017-11-03T14:05:26kkmrkkblmbrbkc4.xlarge
3189947282747658574439927
2EE7BAA82FA158__no
2021-05-27T00:23:09kutensvega
3189947282747658574439927
50243016513902117747381510263
34EFD2A54C8480AFno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 273000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
103
104
105
106
107
108
109
1010
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
263
261
258
257
250
260
270
280
290
2100
Last modified: 2021-07-15T20:18:31+00:00