is 2 79259 - 1
has 23860 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267374.896474.6269%1000000000204611697189902,426.705126.8259%2,801.601681.4334%6.8066%
PrimeNet2400.000057.5000%800120000.00006.3130%0.000060.1830%2.6830%
GPU722440.000061.3636%500100000.00002.3250%0.000062.2619%0.8983%
Difference+23+374.8964+13.2632%+999999500+20461169708990+2,426.7051+24.5009%+2,801.6015+19.1715%+5.9083%

Known prime factors (3 factors, 180.9 bits, 0.22823182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79259158519617.2741
1
-112.203e-132.175e-94.426e-9
792593328879721.66721
3 × 7
2008-08-26373.541e-126.999e-91.328e-8
79259539781623273996462107294814215850262740158343141.95334051755843121693568383074112457276949
3 × 26591 × 42358123 × 118053889 × 244718527 × 348818677
2021-12-202447185273488186771.684e+120.54461.0832

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
792595276905702011238.941
7925985565643139770645176786266654682367799307153557748159.228
792591796867710302718068783269453852045406780195421545750163.620
7925928483767256947656554545509055517238583738979802800
28183
55180.894
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-24T01:01:31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 158519
skipped known factor: 3328879
--0.443--11.524%
2021-12-20T19:41:06George WoltmanManual testing1000000000100000000043141.9532.1750.0004.35010.532%
2022-01-06T01:21:22George WoltmanManual testing100000000020461169718990-
skipped known factor: 158519
skipped known factor: 3328879
skipped known factor: 5397816232739964621072948142158502627401583
--2,427--26.826%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:11:00ANONYMOUSManual testing??21.66771.60222e-140.0003.33076e-14


ECM factoring results:
Total ECM effort:11.088 GHz-days
Estimated T-Level:31.016
DigitsB1CompleteFacMiss
201100098.4910.000%
255000015.9460.000%
302500001.98313.761%
3510000000.20381.611%
4030000000.01898.243%
45110000000.00199.866%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.010
5000050000002740.429
250000250000006294.922
10000001000000001835.727


Lucas-Lehmer results:
No L-L results for M79259


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:29:35Oliver KruseOllaptop
158519
3328879
5892EFEB11CFD0__no
2017-09-21T21:39:45Oliver KruseManual testing
158519
3328879
5892EFEB11CFD0__no
2017-10-13T07:37:09kkmrkkblmbrbkManual testing
158519
3328879
5892EFEB11CFD0__no
2020-04-17T15:17:53Oliver KruseAddPrpType5
158519
3328879
C877D1341DE042__no
2021-12-20T21:17:00mikrNitron
158519
3328879
5397816232739964621072948142158502627401583
C877D1341DE042C2no
2022-05-12T18:19:34Jorge CoveiroManual testing
158519
C877D1341DE042C2no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 20461169718990 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-12T18:19:34+00:00