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Solution to "more than just twins..."

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  • Phil Carmody
    With x=13533264289711320 The following values are all prime Phi_1(x) = x-1 = 13533264289711319 Phi_2(x) = x+1 = 13533264289711321 Phi_3(x) = x^2+x+1 =
    Message 1 of 1 , Aug 11, 2002
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      With x=13533264289711320

      The following values are all prime

      Phi_1(x) = x-1 = 13533264289711319
      Phi_2(x) = x+1 = 13533264289711321
      Phi_3(x) = x^2+x+1 = 183149242335175652162873225853721
      Phi_4(x) = x^2+1 = 183149242335175638629608936142401
      Phi_5(x) = x^4+x^3+x^2+x+1 =
      33543644967948894894707400534897467258022754149653651076715581721
      Phi_6(x) = x^2-x+1 = 183149242335175625096344646431081
      Phi_7(x) = x^6+x^5+x^4+x^3+x^2+x+1 =
      6143493161039967018800469240094034334100966809162267063448195661953197743714144706837421982781721
      Phi_8(x) = x^4+1 =
      33543644967948892416100299552580126242067770172764720993077760001
      Phi_9(x) = x^6+x^3+1 =
      6143493161039966564845456648596439939941480129714085602519824086200001139649929345044843435968001
      Phi_10(x) = x^4-x^3+x^2-x+1 =
      33543644967948889937493198570263151524597456547153050127312223081


      Other ones have x=33977817238184820 and x=88737726012166770


      Phil


      =====
      --
      The good Christian should beware of mathematicians, and all those who make
      empty prophecies. The danger already exists that the mathematicians have
      made a covenant with the devil to darken the spirit and to confine man in
      the bonds of Hell. -- Common mistranslation of St. Augustine (354-430)

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