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C140

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  • alkirah2002
    Self generated C140 RSA key & params, if it can help someone. Number: c140 N=16216971344168030744881946405411508054934470462355245894494413778043
    Message 1 of 1 , Oct 4, 2007
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      Self generated C140 RSA key & params, if it can help someone.

      Number: c140
      N=16216971344168030744881946405411508054934470462355245894494413778043
      2628121258871474123382524742273688916109336117330097528300518364489929
      71
      ( 140 digits)
      Divisors found:

      r1=2193197537951376532975283948321764123749187492317928531978351972346
      377 (pp70)

      r2=7394213728379428379732891289312974274272827394627394823743267942831
      923 (pp70)
      Version: GGNFS-0.77.1-20060513-k8
      Total time: approx 7 days (start to end) on 15 old work computer
      (idle time).
      Factorization parameters were as follows:
      name: c140
      n:
      1621697134416803074488194640541150805493447046235524589449441377804326
      2812125887147412338252474227368891610933611733009752830051836448992971
      skew: 159155.45
      # norm 4.07e+19
      c5: 4774140
      c4: 3032648562180
      c3: -674692488454219438
      c2: -9129139635181879221667
      c1: 6231015884954255270943514710
      c0: 81162587647627298973952726573899
      # alpha -6.64
      Y1: 7948141363973129
      Y0: -320784630957107579934402164
      # Murphy_E 2.07e-11
      # M
      1311441273656271670754433995347006188313910883921938014386770020317691
      7181623779542075572564862055165103312330131024202301716042030377069264
      type: gnfs
      rlim: 14000000
      alim: 14000000
      lpbr: 28
      lpba: 28
      mfbr: 55
      mfba: 55
      rlambda: 2.5
      alambda: 2.5
      qintsize: 10000
      Factor base limits: 14000000/14000000
      Large primes per side: 3
      Large prime bits: 28/28
      Sieved special-q in [7000000, 15390000)
      Relations: rels:21629508, finalFF:1920480
      Initial matrix: 1819730 x 1920480 with sparse part having weight
      216825944.
      Pruned matrix : 1769714 x 1778876 with weight 186722567.
      Total poly search time : approx 12 hours
      Total sieving time: approx 4 days
      Total relation processing time: 1.20 hours.
      Matrix solve time: 79.18 hours.
      Time per square root: 1.21 hours.
      Prototype def-par.txt line would be:
      gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14000
      000,14000000,28,28,55,55,2.5,2.5,60000
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