is 2 1464583 - 1
has 440884 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB99E2B034703857double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.288368.6567%500000150000000.07144.9341%20.359770.2032%1.5465%
PrimeNet2560.006662.5000%70001200000.00072.9097%0.007363.5911%1.0911%
GPU722600.104965.0000%65001000000.00061.4459%0.105565.5061%0.5061%
Difference+7+20.1834+3.6567%+493500+14900000+0.0708+3.4882%+20.2542+4.6971%+4.6971%

Known prime factors (3 factors, 211.3 bits, 0.01442700% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1464583171605673454757284312063.8965858516501105
5 × 1171703300221
2017-06-06511717033002212.08353,534.26,600.8
146458397460530390926187031512273.0453327245038039025
52 × 67 × 21191 × 93738613
2019-03-2221191937386131,901.20.28380.5281
1464583241480164228906129126072374.3548243990413274841
3 × 27653 × 280927 × 353737
2009-04-032809273537374,829.40.01580.0317

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
146458316724779952992727546855961236342627998608142136.941
146458341439366208466826041974300678395786822961742138.250
146458323534784884637152510624327232137019523852465745147.400
146458340387026097410007783469554403059179383122518856425
12670829423167
64211.295
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.840%
2016-03-17T19:14:41alpertronManual testing5000001500000012-
skipped known factor: 24148016422890612912607
--0.071--4.934%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--
2022-03-08T19:02:32LordJuliusManual testing258261--0.184--
2022-03-09T00:17:12LordJuliusManual testing21261--0.210--
2022-03-08T19:02:32LordJuliusManual testing261262--0.210--
2022-03-08T19:02:32LordJuliusManual testing262263--0.670--
2017-06-06T15:16:59TJAOIManual testing263264*63.896200.9940.1142.022


ECM factoring results:

Old Calculation Method

Total ECM effort:25.579 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.579 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000021310.10
500005000000381.802
250000350000005013.68


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computersBB99E2B0347038570.056
2001-07-22T00:00:00ANONYMOUSv4_computersBB99E2B0347038570.056


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:06alpertronManual testing
17160567345475728431
24148016422890612912607
779660C954F28F__no
2017-10-18T07:08:41Oliver KruseThreadripper
17160567345475728431
24148016422890612912607
779660C954F28F__no
2019-03-22T14:56:24ATHec2-PRPCF
17160567345475728431
9746053039092618703151
24148016422890612912607
8BCF5BE2848FB8AEno
2019-03-23T09:24:07kkmrkkblmbrbkc5.large
17160567345475728431
9746053039092618703151
24148016422890612912607
8BCF5BE2848FB8AEno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-09T00:17:12+00:00