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n^2 + (n +/- x)

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  • Suresh Batta
    As a followup to previous post I am posting some data here. n p x 1 1 - 1 2 5 - 1 3 11 - 1 4 19 - 1 5 29 - 1 6
    Message 1 of 3 , Apr 27 6:56 AM
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      As a followup to previous post I am posting some data here.

      n p x
      1 1 - 1
      2 5 - 1
      3 11 - 1
      4 19 - 1
      5 29 - 1
      6 41 - 1
      7 53 - 3
      8 71 - 1
      9 89 - 1
      10 109 - 1
      11 131 - 1
      12 157 + 1
      13 181 - 1
      14 211 + 1
      15 239 - 1
      16 271 - 1
      17 307 + 1
      18 337 - 5
      19 379 - 1
      20 419 - 1
      21 461 - 1
      22 503 - 3
      23 547 - 5
      24 599 - 1
      25 647 - 3
      26 701 - 1
      27 757 + 1
      28 811 - 1
      29 863 - 7
      30 929 - 1
      31 991 - 1
      32 1051 - 5
      33 1123 + 1
      34 1187 - 3
      35 1259 - 1
      36 1327 - 5
      37 1409 + 3
      38 1481 - 1
      39 1559 - 1
      40 1637 - 3
      41 1721 - 1
      42 1801 - 5
      43 1889 - 3
      44 1979 - 1
      45 2069 - 1
      46 2161 - 1
      47 2251 - 5
      48 2351 - 1
      49 2447 - 3
      50 2549 - 1
      51 2647 - 5
      52 2753 - 3
      53 2861 - 1
      54 2969 - 1
      55 3079 - 1
      56 3191 - 1
      57 3307 + 1
      58 3413 - 9
      59 3539 - 1
      60 3659 - 1
      61 3779 - 3
      62 3907 + 1
      63 4027 - 5
      64 4159 - 1
      65 4289 - 1
      66 4421 - 1
      67 4561 + 5
      68 4691 - 1
      69 4831 + 1
      70 4969 - 1
      71 5113 + 1
      72 5261 + 5
      73 5399 - 3
      74 5557 + 7
      75 5701 + 1
      76 5851 - 1
      77 6007 + 1
      78 6163 + 1
      79 6317 - 3
      80 6481 + 1
      81 6637 - 5
      82 6803 - 3
      83 6971 - 1
      84 7129 - 11
      85 7309 - 1
      86 7481 - 1
      87 7649 - 7
      88 7829 - 3
      89 8009 - 1
      90 8191 + 1
      91 8369 - 3
      92 8563 + 7
      93 8741 - 1
      94 8929 - 1
      95 9127 + 7
      96 9311 - 1
      97 9511 + 5
      98 9697 - 5
      99 9901 + 1
      100 10099 - 1
      101 10301 - 1
      102 10501 - 5
      103 10711 - 1
      104 10909 - 11
      105 11131 + 1
      106 11351 + 9
      107 11551 - 5
      108 11777 + 5
      109 11987 - 3
      110 12211 + 1
      111 12433 + 1
      112 12653 - 3
      113 12889 + 7
      114 13109 - 1
      115 13339 - 1
      116 13567 - 5
      117 13807 + 1
      118 14033 - 9
      119 14281 + 1
      120 14519 - 1
      121 14759 - 3
      122 15013 + 7
      123 15259 + 7
      124 15497 - 3
      125 15749 - 1
      126 16001 - 1
      127 16253 - 3
      128 16519 + 7
      129 16763 - 7
      130 17029 - 1
      131 17291 - 1
      132 17551 - 5
      133 17827 + 5
      134 18089 - 1
      135 18353 - 7
      136 18637 + 5
      137 18911 + 5
      138 19181 - 1
      139 19457 - 3
      140 19739 - 1
      141 20021 - 1
      142 20297 - 9
      143 20593 + 1
      144 20879 - 1
      145 21169 - 1
      146 21467 + 5
      147 21757 + 1
      148 22051 - 1
      149 22349 - 1
      150 22651 + 1

      p = n^2 + (n +/- x) seems to be asymptotically varying with x, which
      belongs to a set of odd integers.

      Suresh

      --- In primenumbers@yahoogroups.com, Décio Luiz Gazzoni Filho
      <decio@d...> wrote:
      > On Sunday 10 April 2005 23:13, you wrote:
      > > I have found this:
      > >
      > > if n = {1,2,3..., infinite},
      > >
      > > n^2 + (n -/+ x) is prime where,
      > >
      > > x = {1,2,4,6,8,10...}
      >
      > Really? If you remove 1 from your set x, can you provide me with
      any examples
      > of primes of this form?
      >
      > *No* bonus points if you can prove why you'll always be
      unsuccesful, because
      > the proof is so very trivial.
      >
      > Décio
      >
      >
      > [Non-text portions of this message have been removed]
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