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

                       Sample digits for hexa decimal digits of pi

(1) First 500 digits (1 - 500)

3.243F6A8885 A308D31319 8A2E037073 44A4093822 299F31D008
  2EFA98EC4E 6C89452821 E638D01377 BE5466CF34 E90C6CC0AC
  29B7C97C50 DD3F84D5B5 B547091792 16D5D98979 FB1BD1310B
  A698DFB5AC 2FFD72DBD0 1ADFB7B8E1 AFED6A267E 96BA7C9045
  F12C7F9924 A19947B391 6CF70801F2 E2858EFC16 636920D871
  574E69A458 FEA3F4933D 7E0D95748F 728EB65871 8BCD588215
  4AEE7B54A4 1DC25A59B5 9C30D5392A F26013C5D1 B023286085
  F0CA417918 B8DB38EF8E 79DCB0603A 180E6C9E0E 8BB01E8A3E
  D71577C1BD 314B2778AF 2FDA55605C 60E65525F3 AA55AB9457
  48986263E8 144055CA39 6A2AAB10B6 B4CC5C3411 41E8CEA154

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

  57F5C7D088 813AFC1390 8A7C25E945 C0B273D634 AF4635ABB8
  E6A0E2AE02 5B8FF92F3F FEB7790C39 428D3FD1A9 30A4EEA66C
  46E2B32554 58F2AC54FE DE1EC2EA07 69441AD54C 789F3CB62B
  B721C2746E 1BE973B3FF 6C5EDED988 3F666CD37F 6B2A957219
  3E06AA688A B87CA92226 05F23B43E1 D7013CEAC5 DF6534E1E7
  7E037E4623 A40AB23A2E 02A43BA7CD FC9BCF82D6 AEBF43FB26
  6C5E139363 097AAB1247 2A53B4E0A9 5CAA018D17 70714B7495
  20B3BC88DB 689CA207C4 6EF39031B3 E5A5ED5D35 4356DB9868
  32AAE8629E 87080B38E6 6A3440DE3E 7E71AB9D04 84B0B2EAC0
  CDDEE9D16E B4A295E569 54E5E30B51 24A9EA02A9 3F89341CD5

(3) 500 digits ending 1,030,700,000,000-th (1,030,699,999,501 - 1,030,700,000,000)

  51A6C6B535 F65346B1A4 4E6BCA5C9F D20CAAE6DA 92B6767F88
  016E232548 5609D52CBD 37D8D20D6D F730B6F021 0E62732B24
  13826E7CEA FFCE21D763 DE1B6E63E3 053B348A12 54A43A4E49
  5001914DBE 17FF49BE27 324CDE6196 4FE47BAA3B AF35EB2347
  CB4BBE8858 728494934E 1DB710880B 0B380E176D FDE0DE2ADC
  15353C88AD 23035A18AF 1D51C82361 D64E21430C DF7909A3E9
  0EB0D7FAC6 045303659B A357F14EBE 927076F1DE E18580D41B
  1A98032361 CAA8524A63 687DCB8636 52EFB18D22 6DD9CA23F5
  E91EAC46CF 795DBE03F2 2C201D2BB4 CC1516C203 3B7985FD34
  28C7C6A1DC 75E2D2B765 2D23340DAE 5573D62B57 1BAF9CC340


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

     start            end                          pi hexa digits
-------------------------------------------------------------------------------------
  99999999951 -  100000000000  2329318EB4 E6271DEFB5 5BD1C7775F FE3DC62467 C3AD8FD53C
 100000000001 -  100000000050  9C381872D2 7596F81D0E 48B95A6C46 BCE673ED9D EF03E2D62F
 199999999951 -  200000000000  078BF405C8 E945FA0914 B53F22AB16 8B09319559 E2437C7383
 200000000001 -  200000000050  E6FBDAC38A 97197785ED 6A4885A713 3A5491DAEF 29AA3BB5AC
 299999999951 -  300000000000  90B993AA85 07CE7E9885 B3687119C4 9B51893B4F E7AAE96A68
 300000000001 -  300000000050  4C70A76287 9A4D2B5E24 953D049206 5A15239DCF 04E2D6378C
 399999999951 -  400000000000  D311DC8058 23A6A76FEF B16B43C436 6A6C6ADF76 D607CF74FA
 400000000001 -  400000000050  9B8A5C4793 B384EE4BA0 4133976EE5 CD4350D0CD 4E049F5AB9
 499999999951 -  500000000000  6418AF6732 0BE600AEE1 19EE6B568C 52B81B5EFD F1A3F12CE9
 500000000001 -  500000000050  1FB9125F7B E31BEEBE1B 999A5DF1F1 91A965B8AA A1BB014C82
 599999999951 -  600000000000  B037E93F68 3F0032B836 59DA63A517 A1256457E7 E8E08947FD
 600000000001 -  600000000050  AED214B830 A312DAC1D4 AB6041BFD7 0C91C6D219 2CD83C2247
 699999999951 -  700000000000  8B622DE784 46DCB10A08 6B242A9D37 98338C2316 F1642E5B50
 700000000001 -  700000000050  5312243260 E4D80A74B3 BC3081F0D1 91396AB8DF 80DAD0CAB3
 799999999951 -  800000000000  5EC234DAD9 AEE7CEFFA0 81081537D5 2710BA763A A95B7CD682
 800000000001 -  800000000050  F5E95F9326 AD7FBDD56A 04AE4DD8E9 43FB451FE7 9CBBBFF16F
 899999999951 -  900000000000  7315E0ED90 D601BFAC64 B047F7D0F1 F4A6A5CAE2 189F0A8F08
 900000000001 -  900000000050  952A7EB2D1 76F8F80814 B16979959F CC786D9E60 89E199137C
 999999999951 - 1000000000000  CDDEE9D16E B4A295E569 54E5E30B51 24A9EA02A9 3F89341CD5
1000000000001 - 1000000000050  B4466E8D21 5388C4E014 CEC50EE706 D5EB275865 C496E68A3E






                                        Frequency distribution of hexa decimal digits up to 1,000,000,000,000 hexa decimal places of pi-3

            DIGIT |           0            1            2            3            4            5            6            7            8            9            A            B            C            D            E            F| CHI-SQ.
 -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 TO         10000D|         634          627          642          630          582          636          646          585          614          618          632          639          609          596          674          636|  13.51
 TO         20000D|        1250         1253         1276         1269         1182         1241         1240         1228         1239         1231         1239         1294         1241         1224         1303         1290|  11.23
 TO         50000D|        3127         3189         3142         3154         3085         3157         3104         3154         3092         3088         3116         3177         3066         3038         3125         3186|   9.33
 TO         80000D|        5042         5066         5085         4993         4897         5081         4992         5034         4992         4963         4969         5017         4954         4976         4948         4991|   7.99
 TO        100000D|        6296         6325         6355         6283         6171         6291         6287         6274         6244         6234         6228         6278         6193         6241         6155         6145|   8.75
 TO        500000D|       31171        31277        31124        31213        31030        31378        31335        31268        31174        31516        31145        31123        31483        31475        31162        31126|  10.50
 TO       1000000D|       62522        62385        62644        62432        62235        62649        62545        62515        62459        62699        62070        62345        62621        62829        62415        62635|   8.52
 TO       5000000D|      312147       312193       312863       311782       311475       312353       312603       313787       311847       312840       312560       312523       312415       312978       312832       312802|  14.68
 TO      10000000D|      624597       624342       625896       623853       623635       625491       625489       625369       624959       624584       625563       625077       624618       626014       625462       625051|  11.33
 TO      50000000D|     3126351      3124103      3128349      3124737      3123811      3126494      3126804      3126373      3124539      3120318      3123257      3126228      3125492      3124878      3124465      3123801|  16.44
 TO     100000000D|     6250690      6246592      6255492      6250592      6246996      6253329      6251102      6251231      6249740      6246654      6248822      6249493      6250491      6253342      6248121      6247313|  16.08
 TO     500000000D|    31250024     31248068     31254774     31252852     31239571     31253234     31251159     31265465     31244132     31251372     31246151     31243332     31250934     31254464     31244881     31249587|  17.19
 TO    1000000000D|    62501979     62498560     62508519     62514233     62482731     62501692     62501242     62504587     62495786     62494524     62497832     62489514     62500734     62504195     62501388     62502484|  12.70
 TO    5000000000D|   312504001    312513570    312490700    312500743    312498178    312510080    312510719    312512514    312514895    312484358    312499923    312471812    312520318    312484479    312480374    312503336|   9.52
 TO   10000000000D|   625011206    624994420    624984447    624983935    625014007    625011152    624989166    625010556    625047187    624982085    624987694    624962532    625010592    625010529    624987488    625013004|   9.37
 TO   50000000000D|  3124984202   3124989005   3124907617   3125032388   3125014428   3125024783   3124993691   3124927210   3125049513   3124996063   3125025250   3125013267   3125026385   3124974376   3124983619   3125058203|   7.81
 TO  100000000000D|  6249979329   6249991124   6249917131   6250077541   6249925117   6250052283   6250025693   6249958503   6250044644   6249968714   6250055390   6250019064   6250006866   6249933819   6249989678   6250055104|   6.09
 TO  200000000000D| 12499966597  12499911946  12499955850  12500099604  12499961490  12500101254  12500189203  12499923484  12499970856  12500042842  12500071237  12500006794  12499976584  12499897858  12499994877  12499929524|   7.83
 TO  400000000000D| 24999926211  25000018907  24999859169  25000090531  24999897446  25000128095  25000154736  24999739138  24999952168  25000023982  25000225131  25000135600  25000010378  24999925027  24999992668  24999920813|   9.47
 TO  500000000000D| 31249864151  31250091916  31249975362  31250120282  31249891184  31250123763  31250151934  31249728805  31249918470  31250121694  31250183037  31250084693  31249939203  31249884786  31250008909  31249911811|   8.09
 TO  600000000000D| 37500004327  37499933868  37499968109  37500170914  37499904689  37500099146  37500202869  37499689559  37500038937  37500193141  37500225580  37499948869  37499936759  37499924972  37499892838  37499865423|   8.60
 TO  700000000000D| 43749890102  43750047850  43749984994  43750222564  43749859995  43750159999  43750182320  43749851943  43750107946  43750017597  43750200741  43749960562  43750025483  43749837704  43749736532  43749913668|   7.36
 TO  800000000000D| 49999884118  50000076273  49999860305  50000353776  49999812387  50000106364  50000078051  49999814618  50000221065  50000021353  50000187993  49999939699  50000082331  49999816215  49999780934  49999964518|   8.58
 TO  900000000000D| 56249878409  56250121690  56249761824  56250209038  56249874294  56249963339  56250065066  56249830546  56250242524  56250061134  56250269822  56250014795  56250147123  56249702050  56249904576  56249953770|   7.78
 TO 1000000000000D| 62499881108  62500212206  62499924780  62500188844  62499807368  62500007205  62499925426  62499878794  62500216752  62500120671  62500266095  62499955595  62500188610  62499613666  62499875079  62499937801|   7.94




Some of interesting digits sequences for hexa decimal digits of pi up to 1,030,000,000,000 decimal places;

   ABCDEF01234  : from   41,789,037,926-th of pi
   BCDEF012345  : from  692,158,602,718-th of pi

   DCBA9876543  : from   56,616,346,453-th of pi
   9876543210F  : from  505,317,461,934-th of pi
   FEDCBA98765  : from  784,210,841,441-th of pi
   A9876543210  : from  956,358,095,754-th of pi

    012345678   : from  216,789,332,486-th of pi
    012345678   : from  541,777,955,585-th of pi
    012345678   : from  691,662,369,206-th of pi
    012345678   : from  858,086,599,034-th of pi
    012345678   : from  870,789,164,286-th of pi
    012345678   : from  986,689,894,989-th of pi
    012345678   : from  989,625,545,859-th of pi
    012345678   : from 1,012,997,678,405-th of pi

    9876543210  : from   51,474,695,464-th of pi
    FEDCBA9876  : from  319,551,938,810-th of pi
    CBA9876543  : from  473,660,159,809-th of pi
    876543210F  : from  708,036,119,911-th of pi
    10FEDCBA98  : from  738,598,611,051-th of pi
    543210FEDC  : from  757,608,149,848-th of pi
    543210FEDC  : from  823,700,620,277-th of pi
    10FEDCBA98  : from  932,195,735,371-th of pi
    543210FEDC  : from  949,171,061,142-th of pi
    6543210FED  : from  978,154,899,469-th of pi

    456789ABCD  : from   10,336,718,420-th of pi
    6789ABCDEF  : from  127,714,197,002-th of pi
    456789ABCD  : from  160,267,188,233-th of pi
    89ABCDEF01  : from  245,085,378,614-th of pi
    6789ABCDEF  : from  296,717,483,975-th of pi
    23456789AB  : from  389,255,009,621-th of pi
    ABCDEF0123  : from  510,777,799,767-th of pi
    56789ABCDE  : from  592,983,775,357-th of pi
    23456789AB  : from  618,708,828,160-th of pi
    89ABCDEF01  : from  695,018,141,882-th of pi
    6789ABCDEF  : from  784,686,980,590-th of pi
    123456789A  : from  918,924,332,313-th of pi
    456789ABCD  : from  955,719,545,684-th of pi
    3456789ABC  : from  988,194,399,061-th of pi

     000000000  : from    9,564,296,540-th of pi
     000000000  : from  169,660,803,051-th of pi
     000000000  : from  396,230,114,114-th of pi
     000000000  : from  402,624,603,346-th of pi
     000000000  : from  667,043,908,697-th of pi
     000000000  : from  790,475,055,847-th of pi
     000000000  : from  831,824,512,182-th of pi
     000000000  : from  964,720,751,737-th of pi

    7777777777  : from   13,911,874,868-th of pi
    9999999999  : from   47,701,158,980-th of pi
    BBBBBBBBBB  : from   64,401,919,723-th of pi
    9999999999  : from   77,771,501,314-th of pi
    7777777777  : from   82,206,295,810-th of pi
    9999999999  : from   94,054,646,810-th of pi
    CCCCCCCCCC  : from  133,391,432,472-th of pi
    9999999999  : from  183,600,597,107-th of pi
    3333333333  : from  224,894,759,935-th of pi
    7777777777  : from  308,703,886,631-th of pi
    7777777777  : from  479,648,604,331-th of pi
    1111111111  : from  525,804,262,190-th of pi
    AAAAAAAAAA  : from  532,552,599,881-th of pi
    2222222222  : from  600,656,895,513-th of pi
    7777777777  : from  601,613,319,932-th of pi
    FFFFFFFFFF  : from  728,399,917,579-th of pi
    5555555555  : from  774,937,210,278-th of pi
    9999999999  : from  905,228,195,285-th of pi
    BBBBBBBBBB  : from  934,653,108,901-th of pi
    1111111111  : from  972,211,570,768-th of pi
    DDDDDDDDDD  : from 1,001,780,952,848-th of pi

    1414213562  : from   85,897,337,983-th of pi

    2718281828  : from  605,932,589,594-th of pi

    3141592653  : from  626,735,412,490-th of pi
    3141592653  : from  706,041,581,737-th of pi

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