is 2 8233 - 1
has 2479 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673,609.124079.1045%----3,609.124079.1045%14.1045%
PrimeNet2400.000065.0000%500100000.00002.9173%0.000067.9173%2.9173%
GPU722440.000368.1818%500100000.00001.1903%0.000369.3721%1.1903%
Difference+23+3,609.1237+10.9227%-500-100000.0000-1.1903%+3,609.1237+9.7324%+9.7324%

Known prime factors (3 factors, 8,233.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
823319561142270891328932383042929993955396739127.20111879717157106357908649971413818751
13 × 23 × 307 × 11847877 × 10923353791203074365891
1184787710923353791203074365891-2.128e+138.773e+101.639e+11
82332086639914385751411365405101772514497470259636947153.8701267241536733724894549620491784595224991048
23 × 3 × 463 × 19325176312669 × 5901245766232963702257041
1932517631266959012457662329637022570412021-03-201.821e+134.740e+138.852e+13
8233
click to show decimal representation
2,3947,951.9292021-03-20

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
823340817060233420185545729280060114458912112182745589
89814831525965299820554394693745823
85281.071
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.001--4.082%
2001-06-23T00:00:00ANONYMOUSv4_computers430000004290000000---0.040--10.255%
2001-08-31T00:00:00ANONYMOUSv4_computers30000000004290000000---0.453--11.299%
2002-08-24T00:00:00ANONYMOUSv4_computers21474836484290000000---0.334--11.336%
2002-10-19T00:00:00ANONYMOUSv4_computers32212254724290000000---0.483--11.288%
2003-02-09T00:00:00ANONYMOUSv4_computers42900000002147483647---0.632--11.236%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.073--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.146--
2000-02-23T00:00:00ANONYMOUSv4_computers254255--0.291--
2000-08-01T00:00:00ANONYMOUSv4_computers?256--1.166--
2002-04-20T00:00:00ANONYMOUSv4_computers?257--2.332--


ECM factoring results:
Total ECM effort:115.462 GHz-days
Estimated T-Level:37.420
DigitsB1CurvesCompleteFacMiss
20110002275 / 10022.7500.000%
25500002275 / 2808.1250.029%
302500002275 / 6403.5552.851%
3510000002275 / 15801.44023.685%
4030000002275 / 47000.48461.626%
4511000000465 / 97000.04895.319%

ECM Summary

B1B2factorcurvesGHz-days
30000003000000001,81011.52
1100000030114149530465103.9


Lucas-Lehmer results:
Exponent "8233" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:54:36Oliver KruseOliver-PC
195611422708913289323830429299939553967
BD94AA77A9CDCD__no
2017-09-21T19:21:37Oliver KruseManual testing
195611422708913289323830429299939553967
BD94AA77A9CDCD__no
2017-10-12T15:09:12kkmrkkblmbrbkManual testing
195611422708913289323830429299939553967
BD94AA77A9CDCD__no
2020-04-17T13:46:54Oliver KruseManual testing
195611422708913289323830429299939553967
EADECF918F4983__no
2021-03-20T14:25:55mikrNitron
195611422708913289323830429299939553967
20866399143857514113654051017725144974702596369
PRP
2021-03-21T14:28:28Cork3tits
195611422708913289323830429299939553967
20866399143857514113654051017725144974702596369
PRP


P-1 factor-bounds graph:
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 43000000, B2 = 4290000000 (stage 2)
B1 = 43000000 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000 (stage 1)
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TF factor-bounds graph:
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Last modified: 2021-03-21T14:28:28+00:00