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                                                              6-th December 2002
                                   Statistical Distribution Information addition
                                                              18-th January 2003


                      Sample digits for decimal digits of pi

(1) First 500 digits (1 - 500)

3.1415926535 8979323846 2643383279 5028841971 6939937510
  5820974944 5923078164 0628620899 8628034825 3421170679
  8214808651 3282306647 0938446095 5058223172 5359408128
  4811174502 8410270193 8521105559 6446229489 5493038196
  4428810975 6659334461 2847564823 3786783165 2712019091
  4564856692 3460348610 4543266482 1339360726 0249141273
  7245870066 0631558817 4881520920 9628292540 9171536436
  7892590360 0113305305 4882046652 1384146951 9415116094
  3305727036 5759591953 0921861173 8193261179 3105118548
  0744623799 6274956735 1885752724 8912279381 8301194912

(2) 500 digits ending Trillion-th (American) or Billion-th (British) (999,999,999,501 - 1,000,000,000,000)

  3055541549 8630733226 9301895353 2800395568 4100135112
  3018054466 7139616326 7123847333 9482691454 3860916430
  1625543455 2814410067 9794539929 7396506499 6259579620
  9832690772 9598209368 0476885637 4803576440 0887706440
  9994610239 6615201174 0666595802 7919531531 8903915600
  4823850597 7919334089 3525800653 2108289606 0294989554
  9184899441 7318925720 9460412978 6725653700 4298366088
  7081085596 4376680868 4559824388 6457656156 6050890585
  2962457053 9070959679 6673211870 6342459769 2128529850
  2976735807 0882130902 2460461146 5810642210 6680122702

(3) 500 digits ending 1,241,100,000,000-th (1,241,099,999,501 - 1,241,100,000,000)

  3716787169 6567692125 2797286901 8503557537 6530193499
  3533850167 1616469990 5984454421 7623131551 5483436562
  7806800557 0748706663 5108659327 6579461496 7987525534
  7689068277 7037671632 7753867760 1776471900 9279382597
  6527339324 6948904759 2872702485 4618972965 3547547082
  4504016840 2350653293 6254205392 4502959326 3809170954
  8310279798 7965959470 8455199922 4435552002 5054585883
  0997016164 9607402417 5296690907 5622217705 1785600450
  0707455198 1744551596 6313820124 4825046054 2311034186
  5591198918 2262704528 2696896699 2856706487 3410311045


(4) 50 digits around each n * 100,000,000,000-th digit

      start          end                          pi decimal digits
-------------------------------------------------------------------------------------
  99999999951 -  100000000000  9536515199 6948432428 3185077669 0674614692 0191295669
 100000000001 -  100000000050  5528194976 8254737815 8812009413 0550624875 3770635277
 199999999951 -  200000000000  4305017750 7056695457 1580141586 9082820114 5623831042
 200000000001 -  200000000050  0719003966 6177300581 1050342554 4359078194 5552422286
 299999999951 -  300000000000  5803375452 4778184930 3189922956 0236124516 0780255325
 300000000001 -  300000000050  6599215888 0466539975 9060135171 6438662046 9987179320
 399999999951 -  400000000000  4232472530 5584721833 6635696622 7418760375 3353406089
 400000000001 -  400000000050  5153428885 2449501852 7058643345 3453965221 9840456444
 499999999951 -  500000000000  0505992340 4464069733 2573501014 7391768971 9054201320
 500000000001 -  500000000050  0336679104 2284081768 3592963294 7897780453 2589343879
 599999999951 -  600000000000  3881678221 6497792200 1317898559 2410152034 1195374226
 600000000001 -  600000000050  8375605679 0570153726 4071780062 7507938793 3556887383
 699999999951 -  700000000000  3990644438 6185972302 5216652345 2555670391 9799486948
 700000000001 -  700000000050  0560061321 0037612936 9202993173 4162429672 1560414002
 799999999951 -  800000000000  8917664581 0186796442 6373591937 2841595931 5934969567
 800000000001 -  800000000050  4044168831 4496445335 4402752766 5208374761 4059542846
 899999999951 -  900000000000  1664762922 1380758457 4648412138 0916225059 2303525517
 900000000001 -  900000000050  9143179412 8614675122 2331910634 7897287527 4601473879
 999999999951 - 1000000000000  2976735807 0882130902 2460461146 5810642210 6680122702
1000000000001 - 1000000000050  4463806240 5498434388 8389727963 8894287067 3227443014
1099999999951 - 1100000000000  6916214969 5885256742 0876394931 0299322496 7272870249
1100000000001 - 1100000000050  5987525674 5393540599 2942018884 3201740017 6150687208
1199999999951 - 1200000000000  5296320811 9703828272 7315356530 7867141740 4641807691
1200000000001 - 1200000000050  0591674246 3615412153 5661523987 8737785726 7338115968




                                                   Frequency distribution for pi-3 up to 1,200,000,000,000 decimal places

         DIGIT    |            0            1            2            3            4            5            6            7            8            9| CHI-SQ.
 -------------------------------------------------------------------------------------------------------------------------------------------------------------
 TO           100D|            8            8           12           11           10            8            9            8           12           14|   4.20
 TO           200D|           19           20           24           19           22           20           16           12           25           23|   6.80
 TO           500D|           45           59           54           50           53           50           48           36           53           52|   6.88
 TO           800D|           74           92           83           79           80           73           77           75           76           91|   5.13
 TO          1000D|           93          116          103          102           93           97           94           95          101          106|   4.74
 TO          2000D|          182          212          207          188          195          205          200          197          202          212|   4.34
 TO          5000D|          466          532          496          459          508          525          513          488          492          521|  10.77
 TO          8000D|          754          833          811          781          809          834          816          786          764          812|   8.52
 TO         10000D|          968         1026         1021          974         1012         1046         1021          970          948         1014|   9.32
 TO         20000D|         1954         1997         1986         1986         2043         2082         2017         1953         1962         2020|   7.72
 TO         50000D|         5033         5055         4867         4947         5011         5052         5018         4977         5030         5010|   5.86
 TO         80000D|         7972         8141         7920         7975         7957         8044         8026         8031         7953         7981|   4.46
 TO        100000D|         9999        10137         9908        10025         9971        10026        10029        10025         9978         9902|   4.09
 TO        200000D|        20104        20063        19892        20010        19874        20199        19898        20163        19956        19841|   7.31
 TO        500000D|        49915        49984        49753        50000        50357        50235        49824        50230        49911        49791|   7.73
 TO        800000D|        79949        79851        79872        79962        80447        80298        79650        79884        80167        79920|   6.27
 TO       1000000D|        99959        99758       100026       100229       100230       100359        99548        99800        99985       100106|   5.51
 TO       2000000D|       199792       199535       200077       200141       200083       200521       199403       200310       199447       200691|   9.00
 TO       5000000D|       499620       499898       499508       499933       500544       500025       498758       500880       499880       500954|   7.88
 TO       8000000D|       799111       800110       799788       800234       800202       800154       798885       800560       800638       800318|   3.79
 TO      10000000D|       999440       999333      1000306       999964      1001093      1000466       999337      1000207       999814      1000040|   2.78
 TO      20000000D|      2001162      1999832      2001409      1999343      2001106      2000125      1999269      1998404      1999720      1999630|   4.17
 TO      50000000D|      4999632      5002220      5000573      4998630      5004009      4999797      4998017      4998895      4998494      4999733|   6.17
 TO      80000000D|      7998807      8002788      8001828      7997656      8003525      7996500      7998165      7999389      8000308      8001034|   5.95
 TO     100000000D|      9999922     10002475     10001092      9998442     10003863      9993478      9999417      9999610     10002180      9999521|   7.27
 TO     200000000D|     19997437     20003774     20002185     20001410     19999846     19993031     19999161     20000287     20002307     20000562|   4.13
 TO     500000000D|     49995279     50000437     50011436     49992409     50005121     49990678     49998820     50000320     50006632     49998868|   7.42
 TO     800000000D|     79991897     79997003     80003316     79989651     80016073     79996120     80004148     79995109     80002933     80003750|   6.62
 TO    1000000000D|     99993942     99997334    100002410     99986911    100011958     99998885    100010387     99996061    100001839    100000273|   4.92
 TO    2000000000D|    199994317    199995284    199992575    199999470    200014368    199989852    200004785    199979293    200017844    200012212|   6.69
 TO    5000000000D|    499989001    500034127    499984949    499990321    499978284    499995352    500019818    500001703    499990522    500015923|   5.68
 TO    8000000000D|    799959840    800031172    800016834    799985886    799942991    799995302    800003383    800012745    800011229    800040618|  10.36
 TO   10000000000D|    999967995   1000037790   1000017271    999976483    999937688   1000007928    999985731   1000041330    999991772   1000036012|  10.53
 TO   20000000000D|   2000013287   2000003626   2000015776   1999918306   1999950273   2000036170   1999981153   2000034984   2000012969   2000033456|   6.88
 TO   50000000000D|   5000012647   4999986263   5000020237   4999914405   5000023598   4999991499   4999928368   5000014860   5000117637   4999990486|   5.60
 TO   80000000000D|   8000055632   8000032878   7999999508   7999896897   8000100154   7999933060   7999829394   8000053309   8000156857   7999942311|  11.15
 TO  100000000000D|  10000104750   9999937631  10000026432   9999912396  10000032702   9999963661   9999824088  10000084530  10000157175   9999956635|   9.03
 TO  200000000000D|  20000030841  19999914711  20000136978  20000069393  19999921691  19999917053  19999881515  19999967594  20000291044  19999869180|   8.09
 TO  300000000000D|  29999944911  29999947649  30000124949  30000089054  30000105099  29999898037  29999948243  29999881566  30000345894  29999714598|   8.95
 TO  400000000000D|  40000041210  40000021194  40000141945  39999967231  40000267249  39999834336  39999851268  39999950687  40000234425  39999690455|   7.44
 TO  500000000000D|  50000008881  50000128157  50000180765  49999950781  50000068369  49999900532  49999864492  49999913528  50000276183  49999708312|   5.07
 TO  600000000000D|  59999788154  60000115765  60000334158  59999987729  60000131060  59999819211  59999887855  59999770829  60000439514  59999725725|   9.22
 TO  700000000000D|  69999716184  69999936549  70000439726  69999869412  70000162513  69999888676  69999906919  69999845892  70000574684  69999659445|  11.61
 TO  800000000000D|  79999604459  79999983991  80000456638  79999778661  80000238690  79999773551  79999935320  79999775965  80000650170  79999802555|  12.98
 TO  900000000000D|  89999579157  89999720854  90000493163  89999778899  90000373135  89999836010  89999907911  89999675065  90000761281  89999874525|  15.81
 TO 1000000000000D|  99999485134  99999945664 100000480057  99999787805 100000357857  99999671008  99999807503  99999818723 100000791469  99999854780|  14.97
 TO 1100000000000D| 109999544071 110000043750 110000572796 109999711592 110000227954 109999688741 109999855465 109999684514 110000827406 109999843711|  14.54
 TO 1200000000000D| 119999636735 120000035569 120000620567 119999716885 120000114112 119999710206 119999941333 119999740505 120000830484 119999653604|  13.13



Some of interesting digits sequences for decimal digits of pi up to 1,200,000,000,000 decimal places;

  012345678910  : from 1,198,842,766,717-th of pi

   01234567890  : from    53,217,681,704-th of pi
   01234567890  : from   148,425,641,592-th of pi
   01234567890  : from   461,766,198,041-th of pi
   01234567890  : from   542,229,022,495-th of pi
   01234567890  : from   674,836,914,243-th of pi
   01234567890  : from   731,903,047,549-th of pi
   01234567890  : from   751,931,754,993-th of pi
   01234567890  : from   884,326,441,338-th of pi
   01234567890  : from 1,073,216,766,668-th of pi

   432109876543 : from   149,589,314,822-th of pi
   543210987654 : from   197,954,994,289-th of pi
  7654321098765 : from   403,076,867,519-th of pi
   654321098765 : from   472,818,023,403-th of pi
   987654321098 : from   593,100,546,152-th of pi
   543210987654 : from   831,791,888,197-th of pi
   321098765432 : from   849,454,453,339-th of pi
   987654321098 : from 1,116,106,038,318-th of pi
   321098765432 : from 1,168,482,205,220-th of pi
   654321098765 : from 1,174,513,599,306-th of pi

   678901234567 : from   235,011,788,226-th of pi
   789012345678 : from   468,431,528,439-th of pi
   234567890123 : from   506,906,435,245-th of pi
   456789012345 : from   707,279,111,938-th of pi
   567890123456 : from   716,754,915,804-th of pi
   789012345678 : from   915,267,839,735-th of pi
   567890123456 : from 1,046,043,923,886-th of pi
  4567890123456 : from 1,156,515,220,577-th of pi

   98765432109  : from   123,040,860,473-th of pi
   98765432109  : from   133,601,569,485-th of pi
   98765432109  : from   150,339,161,883-th of pi
   98765432109  : from   183,859,550,237-th of pi
   98765432109  : from   300,854,719,683-th of pi
   98765432109  : from   534,846,931,487-th of pi
   98765432109  : from   593,100,546,152-th of pi
   98765432109  : from   609,238,336,350-th of pi
   98765432109  : from   647,565,670,462-th of pi
   98765432109  : from   936,998,389,684-th of pi
   98765432109  : from 1,116,106,038,318-th of pi

   09876543210  : from    42,321,758,803-th of pi
   09876543210  : from    57,402,068,394-th of pi
   09876543210  : from    83,358,197,954-th of pi
   09876543210  : from   264,556,921,332-th of pi
   09876543210  : from   437,898,859,384-th of pi
   09876543210  : from   454,479,252,941-th of pi
   09876543210  : from   614,717,584,937-th of pi
   09876543210  : from   704,023,668,380-th of pi
   09876543210  : from   718,507,192,392-th of pi
   09876543210  : from   790,092,685,538-th of pi
   09876543210  : from   818,935,607,491-th of pi
   09876543210  : from   907,466,125,920-th of pi
   09876543210  : from   963,868,617,364-th of pi
   09876543210  : from   965,172,356,422-th of pi
   09876543210  : from 1,097,578,063,492-th of pi

   10987654321  : from    89,634,825,550-th of pi
   10987654321  : from   137,803,268,208-th of pi
   10987654321  : from   152,752,201,245-th of pi
   10987654321  : from   265,616,128,905-th of pi
   10987654321  : from   524,896,938,580-th of pi
   10987654321  : from   560,934,871,496-th of pi
   10987654321  : from   912,609,366,275-th of pi
   10987654321  : from   990,180,271,473-th of pi
   10987654321  : from 1,041,179,396,679-th of pi
   10987654321  : from 1,171,566,790,976-th of pi

  777777777777  : from   368,299,898,266-th of pi
  999999999999  : from   897,831,316,556-th of pi
  111111111111  : from 1,041,032,609,981-th of pi
  888888888888  : from 1,141,385,905,180-th of pi
  666666666666  : from 1,221,587,715,177-th of pi

  271828182845  : from 1,016,065,419,627-th of pi

  314159265358  : from 1,142,905,318,634-th of pi

 (First digit '3' for pi is not included in the above count.)