is 2 48479 - 1
has 14594 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267612.923576.1194%73000000056285615876490043,849.045230.4067%44,461.968783.3807%
Target2440.000063.6364%500500000.00002.0219%0.000164.3716%
Difference+23+612.9234+12.4830%+729999500+562856158714900+43,849.0452+28.3848%+44,461.9686+19.0091%

Known prime factors (2 factors, 58.3 bits, 0.12033607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4847996959516.5651
1
-111.801e-131.430e-92.910e-9
4847937567901279771341.77338746572
22 × 3 × 433 × 7457
2008-08-2643374571.030e-51.166e-61.260e-6

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-30kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 96959
skipped known factor: 3756790127977
--0.291--11.109%
2023-05-05JacobZMServer730000000562856158764900-
skipped known factor: 96959
skipped known factor: 3756790127977
--43,849--30.407%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??41.773134.25352e-60.0001.18625e-5


ECM factoring results:
Total ECM effort:53.684 GHz-days
Estimated T-Level:34.407
DigitsB1CompleteFacMiss
2011000247.5990.000%
255000048.1560.000%
302500007.1570.078%
3510000000.88141.423%
4030000000.09191.332%
45110000000.00899.202%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.289
250000250000005843.004
100000010000000070414.49
10000001370000001573.619
1000000100000000010.081
10000001000583430504.042
2375571231263918415028.16


Lucas-Lehmer results:
No L-L results for M48479


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
96959
3756790127977
CFDAD89674E48B__no
2017-09-21Oliver KruseManual testing
96959
3756790127977
CFDAD89674E48B__no
2017-10-13kkmrkkblmbrbkManual testing
96959
3756790127977
CFDAD89674E48B__no
2020-04-17Oliver KruseManual testing
96959
3756790127977
1B7C1C0BDD2801__no
2022-05-12Jorge CoveiroManual testing
96959
1B7C1C0BDD2801BCno
2023-04-15carlos56autumnleaves
96959
1B7C1C0BDD2801BCno


P-1 factor-bounds graph:
B1 = 730000000, B2 = 562856158764900 (P-1 stage 2)
B1 = 730000000 (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:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=34.41 ~= 98-bit
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Last modified: 2023-11-25T22:19:27+00:00