is 2 513533 - 1
has 154589 decimal digits
takes 0.007 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8746FC8D436A519Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26757.861771.6418 %200000067331464207.797111.8066 %65.658974.9899 %
Target2440.000056.8182 %900015000000.001914.5681 %0.001963.1090 %
Difference+23+57.8617+14.8236 %+1991000+6731646420+7.7952-2.7616 %+65.6570+11.8810 %

Known prime factors (1 factor, 75.0 bits, 0.01459896% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
513533370132298003954766540012374.97036037829896419000
23 × 3 × 53 × 13 × 924046920421
2009-10-151259240469204217,450.11,064.61,988.3

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00723.928%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.174%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00924.820%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01827.413%
2016-03-16alpertronManual testing15000005000000012---32.811%
2022-12-16USAFSSUSAFSACS20000006733146420--7.96146.124%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-08ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2001-12-22ANONYMOUSv4_computers212570.037
2003-12-13ANONYMOUSv4_computers212580.075


ECM factoring results:
Total ECM effort:16.011 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.042
5000050000002784.392
2500002500000014411.58


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-31Team Prime Ribv4_computers8746FC8D436A519F0.007
2002-04-28Team Prime Ribv4_computers8746FC8D436A519F0.007


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
37013229800395476654001
A5062EFC5FDB2C26
2017-09-28Oliver KruseManual testing
37013229800395476654001
A5062EFC5FDB2C26
2017-11-07kkmrkkblmbrbkc4.xlarge
37013229800395476654001
A5062EFC5FDB2C26
2020-04-19Oliver KruseAddPrpType5
37013229800395476654001
44A24FB14927F58F


CERT results:
No CERT results for M513533


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00