is 2 1002527 - 1
has 301791 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA3030E8ADFF38573double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729.639070.1493 %1000000011100000003.005411.7612 %32.644473.6601 %
Target2600.153266.6667 %4500800000.00040.5774 %0.153666.8591 %
Difference+7+29.4858+3.4826 %+9995500+1109920000+3.0050+11.1839%+32.4908+6.8009 %

Known prime factors (1 factor, 64.7 bits, 0.00645260% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1002527297405594748597578792064.68914832797258757
3 × 3331 × 1484318749
2008-02-08333114843187494.37083.47566.4912

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-22ANONYMOUSv4_computers500001000000--0.0044.092%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.939%
2006-01-15Jossv4_computers7800078000--0.0031.859%
2006-01-15Jossv4_computers6000060000--0.0031.624%
2006-01-15Jossv4_computers9800098000--0.0042.079%
2016-03-17alpertronManual testing3000001000000012---8.110%
2021-05-25ViliamF3100000001110000000--2.59618.442%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-22ANONYMOUSv4_computers2562570.010
2002-12-09ANONYMOUSv4_computers212580.038
2022-04-11LordJuliusManual testing21264


ECM factoring results:
Total ECM effort:17.396 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.084
5000050000002789.66
25000025000000447.650


Lucas-Lehmer results:
No L-L results for M1002527


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
29740559474859757879
F8DE5DCA22EED930
2017-10-15Oliver KruseThreadripper-PC
29740559474859757879
F8DE5DCA22EED930
2017-12-25ATHec2-1xh
29740559474859757879
F8DE5DCA22EED930


CERT results:
No CERT results for M1002527


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 98000 (P-1 stage 1)
B1 = 78000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
264
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00