is 2 505513 - 1
has 152175 decimal digits
takes 0.007 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L948C72A2255AA6__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26758.779771.6418%100000008200000001.144610.7126%59.924474.6797%3.0379%
PrimeNet2400.000052.5000%50001700000.000319.1254%0.000361.5846%9.0846%
GPU722440.000056.8182%90002800000.000514.3762%0.000563.0261%6.2079%
Difference+23+58.7797+14.8236%+9991000+819720000+1.1441-3.6636%+59.9239+11.6536%+11.6536%

Known prime factors (2 factors, 173.6 bits, 0.03434457% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50551325526093706169511781912271.1122524771242892815
3 × 5 × 7 × 271 × 88728562393
2007-08-30271887285623931,354.3102.22190.92
505513718994095804664345398411094685731102.5047111529236682976950131956
22 × 3 × 109 × 7243 × 18211 × 41219524380059
2020-08-0718211412195243800593.803e+1147,48888,695

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
50551318353110663692481522879609414935145191747086738395
687
53173.616
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.178%
2002-01-02T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.512%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.761%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.499%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.366%
2016-03-16T12:40:38alpertronManual testing15000005000000012---0.088--6.107%
2021-05-17T09:48:09gLaussmanu210000000820000000---1.145--10.713%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-17T10:22:53gLaussmanu2500000036500000027--0.458


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-01T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T07:41:58LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.019--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.038--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.076--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.079 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.079 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.514
250000250000001058.433
25000025000000393.132


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07T00:00:00ANONYMOUSv4_computers948C72A2255AA6__0.007


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:04:35Oliver KruseDoppelherz
2552609370616951178191
3D44DDAD770A56__no
2017-11-03T03:59:51kkmrkkblmbrbkc4.xlarge
2552609370616951178191
3D44DDAD770A56__no
2020-04-18T23:58:06Oliver KruseAddPrpType5
2552609370616951178191
85DFD06AC619A0__no
2020-08-07T12:47:38CrypticClueManual testing
2552609370616951178191
7189940958046643453984110946857
85DFD06AC619A066no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 820000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T07:41:58+00:00