Differences between Consecutive Primes in the 163,840,000 first primes
Arranged by Gap length.

Last Up date: 2007 September 6
Recent changes: Replaced table with one that reads left to right instead of by columns. This morning I wrote a program that generates all the numeric part, so now I just have to enter the headings. Before I had to generate a column of even numbers then edit it in, then break it into columns. The new program automatically makes 5 columns, with the even numbers.
This Page started on: 2007 September 05 16:49:34

Difference Count of 163,840,000 primes. Over 10 million prime twins! Calculation was on Tue September 4,2007 13:59:47 took about 1 hour on 1.7 G machine. Actually, I started in the morning but it took a while after the run was done to generate the following table.

 Dif.  Count     Dif.  Count     Dif.  Count     Dif.  Count     Dif.  Count
    2 10379904      4 10381290      6 18593724      8 8292021      10 10747268
   12 13928074     14 7728639      16 5829092      18 10656669     20 5884307
   22 5047481      24 7701832      26 3682707      28 4013482      30 7274993
   32 2313521      34 2434031      36 4001813      38 1891775      40 2248301
   42 3354948      44 1381512      46 1196515      48 2077438      50 1189433
   52 899627       54 1510318      56 786387       58 678805       60 1408785
   62 445323       64 454870       66 841789       68 345708       70 494960
   72 506342       74 250839       76 224387       78 430174       80 221740
   82 157512       84 328711       86 118620       88 123111       90 250491
   92 84541        94 77521        96 137497       98 72409       100 75397
  102 100925      104 46465       106 40881       108 70966       110 42945
  112 34001       114 52165       116 22246       118 21674       120 46820
  122 14829       124 15106       126 28963       128 10475       130 14375
  132 18298       134 7836        136 7020        138 13292       140 8312
  142 4970        144 8550        146 3673        148 4058        150 8304
  152 2692        154 3300        156 4633        158 1889        160 2243
  162 2996        164 1426        166 1276        168 2786        170 1294
  172 915         174 1571        176 744         178 667         180 1450
  182 560         184 504         186 770         188 299         190 484
  192 523         194 264         196 270         198 458         200 225
  202 161         204 290         206 113         208 128         210 294
  212 88          214 77          216 129         218 50          220 74
  222 74          224 39          226 41          228 58          230 43
  232 17          234 60          236 22          238 22          240 38
  242 13          244 11          246 16          248 10          250 14
  252 20          254 06          256 06          258 07          260 05
  262 04          264 06          266 05          268 02          270 06
  272 01          274 02          276 04          278 00          280 03
  282 03          284 03          286 01          288 04          290 04
  292 02          294 00          296 00          298 00          300 00
  302 00          304 01          306 00          308 00          310 00
  312 00          314 00          316 00          318 00          320 01
  All gaps beyone this were zero.

The last one was 3,424,462,051 and somewhere there was 320 consecutive numbers that were not prime. Incidentally, the last prime divided by the number of primes turns out to be about 20.9 which means in the entire block about 1 in 21 of the numbers are prime. Or about 1 in ten of the odd numbers is prime.

A shorter run with a fifth the number of primes was done earlier.
Here is a link to a similar table for it.

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