is 2 1709767 - 1
has 514692 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-LF0A2F5D8404FC537double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.378968.6567%30000002730000001.20869.5092%18.587571.6372%2.9805%
PrimeNet2570.011263.1579%80001400000.00102.7902%0.012364.1858%1.0280%
GPU722610.179765.5738%70001000000.00081.3029%0.180566.0223%0.4485%
Difference+6+17.1993+3.0829%+2993000+272900000+1.2077+8.2062%+18.4070+5.6149%+5.6149%

Known prime factors (2 factors, 148.5 bits, 0.00868397% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1709767212521390918636565932064.2046214922586488
23 × 7 × 11 × 709 × 14230127
2010-07-12709142301272.22740.05300.0988
1709767233454160444629010443638172684.2716827075281153192524
22 × 3 × 42703 × 47407 × 281029937
2020-03-29474072810299374,237,7181.04791.9515

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
170976749614002893435103586731736612254174304269548145148.476
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:30:07alpertronManual testing5000001500000012-
skipped known factor: 21252139091863656593
--0.088--5.027%
2021-07-17T23:10:44Dylan Delgadolaptop-ryzen737003000000273000000-
skipped known factor: 21252139091863656593
--1.209--9.509%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2022-03-08T23:06:23LordJuliusManual testing258260--0.067--
2022-03-09T02:40:39LordJuliusManual testing21260--0.090--
2010-04-24T12:42:00Architects Cubeda3_bu2260261--0.090--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.999 GHz-days
Estimated T-Level:24.804
DigitsB1CurvesCompleteFacMiss
2011000269 / 1002.6906.697%
2550000269 / 2800.96138.196%

New Calculation Method

Total ECM effort:15.999 GHz-days
Estimated T-Level:24.804
DigitsB1CompleteFacMiss
20110008.6770.017%
25500000.78445.646%
302500000.04895.285%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000026815.94
50000500000010.059


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersF0A2F5D8404FC5370.080


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:15:19alpertronManual testing
21252139091863656593
F5F7DAFEE57990__no
2017-10-18T21:46:52Oliver KruseThreadripper
21252139091863656593
F5F7DAFEE57990__no
2020-03-30T20:54:43AbsolutXTR750D
21252139091863656593
23345416044462901044363817
38DAB6FF1D429049no
2020-04-02T14:50:25oodairacom1
21252139091863656593
23345416044462901044363817
38DAB6FF1D429049no


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)
101
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103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T02:40:39+00:00