Statistics of the Data-Section

Started: Sep 13, 2007
Last update: Nov 30, 2007

Ranges as follows:
  • A: n<10
  • B: n<100
  • C: n<1000
  • D: n<10000
  • E: n>10000


  • Data for twins from gd_barnes and Citrix here (all twins for k<100000 and n<15k)
    Note: Only on summary-pages marked twins or CC's are counted so if anyone finds more, please contact kar_bon.

    k range #k's#primeslinked
    Top5000
    #15k#2145k #2805k#low#Riesel #twinsABCDE
    1 to 300 150495431310- -36- 107643382-
    300 to 2k 8502120437256- -2062 4331862053741
    2k to 4k 10001961580641 12382 4731962294071
    4k to 6k 100019299667- -234- 435196185459-
    6k to 8k 10001930411661 -224- 4081701993441
    8k to 10k 100019236765- 12402 415171207352-
    104 to 105 2482858130393 26958 1474380231-
    105 to 106 56719351765323 4100297 5415307-2
    106 to 107 2571354176627 561- 10252-1
    107 to 108 2161276556418 17100- 6112-1
    108 to 109 441412520458131 81152- 832445122-
    109 to 1010 1301831463157 333- 13272-2
    1010 to Inf 19231621355724 749- 29213752
    Sums 70511201531711692265 1511712361 2613107212392543612

    CC: Cunningham Chains, so CC2 is of length 2 -> Sophie Germain

    ___range___ #CC CC2 A B C D E CC3 A B C D E CC4 A B C D E CC5 A B C D E CC6 A B C D E CC7 CC8 CC9 CC10
    1 to 300 93 80 45 31 4 - - 10 6 4 - - - 2 2 - - - - - - - - - - 1 1 - - - - - - - -
    300 to 2k 402 364 132 180 48 4 - 30 21 9 - - - 6 5 1 - - - 2 2 - - - - - - - - - - - - - -
    2k to 4k 360 315 116 151 45 3 - 40 27 11 2 - - 4 4 - - - - 1 1 - - - - - - - - - - - - - -
    4k to 6k 365 325 114 161 47 3 - 35 19 14 2 - - 5 3 2 - - - - - - - - - - - - - - - - - - -
    6k to 8k 349 318 117 155 42 4 - 30 25 5 - - - - - - - - - 1 1 - - - - - - - - - - - - - -
    8k to 10k 378 340 111 175 48 5 1 34 20 14 - - - 4 4 - - - - - - - - - - - - - - - - - - - -
    104 to 105 118 92 28 40 24 - - 20 6 12 2 - - 1 1 - - - - 3 3 - - - - 1 1 - - - - - - - -
    105 to 106 49 35 5 22 8 - - 8 3 4 1 - - 3 3 - - - - - - - - - - 2 2 - - - - 1 - - -
    106 to 107 51 27 6 17 4 - - 11 4 6 1 - - 3 1 2 - - - - - - - - - - - - - - - 9 1 - -
    107 to 108 68 35 9 20 6 - - 8 4 4 - - - 3 1 1 1 - - - - - - - - - - - - - - 17 2 3 -
    108 to 109 114 90 13 44 26 6 1 17 7 7 2 1 - 1 - 1 - - - - - - - - - 1 1 - - - - 1 4 - -
    109 to 1010 55 39 10 16 9 2 2 5 2 2 1 - - 1 - 1 - - - - - - - - - - - - - - - 7 1 1 1
    1010 to Inf 122 103 12 54 31 1 5 13 2 6 4 - 1 4 2 2 - - - 2 2 - - - - - - - - - - - - - -
    Sums 2524 2163 718 1066 342 28 9 261 146 98 15 1 1 38 26 11 1 - - 9 9 - - - - 5 5 - - - - 35 8 4 1

    Other Stats:
    listed Woodall primes : 32 (all known so far)
    checked primes of TOP5000 : 7500 out of 83111 (30.11.2007)

    ToDo:
  • count primes in ranges

  • remarkable spots of this table as example like CC6 for k=45 or 8 Twins for k=165 and 1995