A table of prime counts pi(x) to 1e16

A table of prime counts pi(x) to 1e16
Thomas R. Nicely

http://www.trnicely.net
Current e-mail address

Last updated 1000 GMT 18 January 2010.

This is an extended table of the values of pi(x), the number of primes <= x. Also provided are the values of the related functions Li(x)-pi(x) and R(x)-pi(x).
The domain of this table consists of each decade from 10 through 1e12, then each 1e12 to 1e16.
See also on this site A table of prime counts pi(x) from 1e16 to 2e16.
The counts in this table were obtained by the author, employing a direct and explicit generation and enumeration of the primes.
These counts have been verified by the work of Tomás Oliveira e Silva, among others. Silva has accumulated the most extensive tables of pi(x) of which I am aware, and has generously shared his results.
Complete counts and reciprocal sums of the prime constellations from Nicely's computations (1993-2009), including values of pi(x), are also available. These data files are very large (over 60MB each, even for the zipped versions), including more than two million data points from 0 to 2e16 at intervals of 1e10 or better.
Additional tables of pi(x), with other domains and granularities, are available from Tomás Oliveira e Silva, Dr. Chris K. Caldwell's Prime Pages, and the work of Xavier Gourdon, Pascal Sebah, and Patrick Demichel. See also the tables of Andrey V. Kulsha for extensive calculations of a function very closely related to R(x) - pi(x).
Also given are the differences Li(x) - pi(x) and R(x) - pi(x). Positive values of these differences indicate a deficit of primes (compared to the number predicted by the corresponding theoretical estimate); negative values indicate a surplus of primes. Here Li(x) is Gauss's logarithmic integral,
Li(x) = integral(1/ln(t), t, 0, x) = Li(2) + integral(1/ln(t), t, 2, x) .
where
Li(2) = 1.0451637801174927848445888891946131365226155781512...
and where the singularity at x=1 is treated using the Cauchy principal value.
In this document, we will also employ (for clarity) the notations Li(0,x) = integral(1/ln(t), t, 0, x) and Li(2,x) = integral(1/ln(t), t, 2, x); thus
Li(x) = Li(0, x) = Li(2, x) + Li(2) .
Li(x) is now usually defined as Li(0, x), with a lower limit of zero; the Cauchy principal value is employed near the singularity at t=1, and the singularity at t=0+ is integrable. In some references, Li(2, x) is still used, with the lower limit of 2. Adoption of the lower limit zero eliminates the trivial exceptions (n=2,3,4,5,7) to the conditional inequality Li(n) > pi(n) (n an integer > 1). The fact that Li(0, x) < 0 for 0 < x < 1 and for 1 < x < 1.45136923488338105... is not considered to constitute an exception, the domain of the inequality being commonly taken as those integers n > 1.

The function R(x) is Riemann's prime counting function (also known as Riemann's prime number formula, Riemann's R-function, or Ri(x)),

    R(x) = sum(µ(n)*Li(x^(1/n)/n, n, 1, +infinity) ,

where µ(n) is Möbius' function,

    µ(n) =   1    , if n=1;
    µ(n) =   0    , if n contains a repeated prime factor;
    µ(n) = (-1)^k , if n is the product of k distinct primes.

R(x) is often calculated from its so-called Gram series expansion:
```
    R(x) = 1 + sum((ln x)^m/(m!*m*Zeta(m+1)), m, 1, +infinity) ,
```
where Zeta is the Riemann zeta function.
See pp. 41-59 of "Prime numbers and computer methods for factorization," by Hans Riesel (2nd ed., Birkhäuser, Boston, 1994) for additional details and explanation; also "The new book of prime number records," Paulo Ribenboim (3rd ed., Springer-Verlag New York, 1996), pp. 213-248.
Computer code for the calculation of the functions Li(x) and R(x) to high precision is provided on this site. Sample computer codes are also provided for the computation of pi(x); be aware that these are only demonstration programs, and are not of sufficient efficiency to be suitable for serious research.
The values presented for pi(x) are believed to be exact. The values for Li(x)-pi(x) and for R(x)-pi(x) are believed to be correct to all digits shown, except for a possible (rounding) error of one ulp (one unit in the last decimal place or least significant digit).
The information on Skewes' problem has been moved to another page.
Please inform me of any errors you discover in these tables.

======================================================================
      x                     pi(x)       Li(x)-pi(x)        R(x)-pi(x)
======================================================================
 1.000000e+01                   4            2.1656            0.5646
 2.000000e+01                   8            1.9053           -0.4728
 3.000000e+01                  10            3.0226            0.1691
 4.000000e+01                  12            3.8395            0.6325
 5.000000e+01                  15            3.4687           -0.0243
 6.000000e+01                  17            3.9654            0.2300
 7.000000e+01                  19            4.3618            0.4146
 8.000000e+01                  22            3.6786           -0.4576
 9.000000e+01                  24            3.9299           -0.3776
 1.000000e+02                  25            5.1261            0.6616
 2.000000e+02                  46            4.1922           -1.4100
 3.000000e+02                  62            6.3336           -0.0346
 4.000000e+02                  78            7.4179            0.4515
 5.000000e+02                  95            6.7939           -0.6720
 6.000000e+02                 109            8.6465            0.7474
 7.000000e+02                 125            8.0889           -0.1957
 8.000000e+02                 139            9.1967            0.5631
 9.000000e+02                 154            9.0236            0.0699
 1.000000e+03                 168            9.6097            0.3594
 2.000000e+03                 303           11.8092            0.3353
 3.000000e+03                 430           12.7592           -0.2741
 4.000000e+03                 550           15.3645            1.0857
 5.000000e+03                 669           15.2808           -0.0539
 6.000000e+03                 783           17.4141            1.1525
 7.000000e+03                 900           14.3308           -2.7629
 8.000000e+03                1007           19.4164            1.5637
 9.000000e+03                1117           19.9488            1.3955
 1.000000e+04                1229           17.1372           -2.0688
 2.000000e+04                2262           26.6140            2.4194
 3.000000e+04                3245           31.8991            4.1257
 4.000000e+04                4203           30.0113           -0.6586
 5.000000e+04                5133           33.5468            0.3986
 6.000000e+04                6057           25.8469           -9.4916
 7.000000e+04                6935           50.2945           12.9786
 8.000000e+04                7837           39.2132            0.0851
 9.000000e+04                8713           44.2916            3.4842
 1.000000e+05                9592           37.8090           -4.5683
 2.000000e+05               17984           52.0521           -2.4680
 3.000000e+05               25997           89.6922           26.3336
 4.000000e+05               33860           62.6219           -7.9510
 5.000000e+05               41538           68.2888           -8.4941
 6.000000e+05               49098           74.8270           -7.4695
 7.000000e+05               56543          101.6627           14.3704
 8.000000e+05               63951           86.2974           -5.5873
 9.000000e+05               71274           88.0546           -8.0972
 1.000000e+06               78498          129.5492           29.3994
 2.000000e+06              148933          121.8332           -9.4921
 3.000000e+06              216816          154.5644            0.3228
 4.000000e+06              283146          206.2546           33.1979
 5.000000e+06              348513          125.1150          -64.2044
 6.000000e+06              412849          227.5041           23.6997
 7.000000e+06              476648          178.8123          -38.1506
 8.000000e+06              539777          222.6901           -6.3947
 9.000000e+06              602489          187.2538          -53.1147
 1.000000e+07              664579          339.4050           88.4476
 2.000000e+07             1270607          298.0363          -35.9674
 3.000000e+07             1857859          354.0973          -41.3796
 4.000000e+07             2433654          362.4394          -83.7209
 5.000000e+07             3001134          423.4267          -66.6722
 6.000000e+07             3562115          568.4771           39.1531
 7.000000e+07             4118064          520.9295          -44.0939
 8.000000e+07             4669382          708.7454          110.7840
 9.000000e+07             5216954          856.2234          227.5602
 1.000000e+08             5761455          754.3754           96.8673
 2.000000e+08            11078937         1037.8525          153.1722
 3.000000e+08            16252325         1084.1472           30.4409
 4.000000e+08            21336326         1052.0119         -141.4858
 5.000000e+08            26355867          965.1489         -349.8050
 6.000000e+08            31324703         1342.2521          -81.3140
 7.000000e+08            36252931         1311.0438         -211.5094
 8.000000e+08            41146179         1683.2333           69.2433
 9.000000e+08            46009215         2433.6333          734.3285
 1.000000e+09            50847534         1700.9570          -78.5723
 2.000000e+09            98222287         3015.1378          601.7873
 3.000000e+09           144449537         3191.7309          304.9513
 4.000000e+09           189961812         2778.7703         -500.4800
 5.000000e+09           234954223         4557.8739          937.0539
 6.000000e+09           279545368         3498.9274         -427.7411
 7.000000e+09           323804352         4067.5164         -138.1936
 8.000000e+09           367783654         5241.6802          777.9819
 9.000000e+09           411523195         5058.5772          353.9783
 1.000000e+10           455052511         3103.5866        -1827.6932
 2.000000e+10           882206716         8163.2048         1436.6258
 3.000000e+10          1300005926        10205.6671         2134.0410
 4.000000e+10          1711955433         8698.8221         -489.8988
 5.000000e+10          2119654578        11961.2941         1799.0736
 6.000000e+10          2524038155        10162.7505         -872.0577
 7.000000e+10          2925699539        10280.3473        -1551.2344
 8.000000e+10          3325059246        12346.4597         -222.3001
 9.000000e+10          3722428991        15270.6039         2013.0737
 1.000000e+11          4118054813        11587.6216        -2318.3686
 2.000000e+11          8007105059        13344.6556        -5707.0635
 3.000000e+11         11818439135        23766.7958          850.6010
 4.000000e+11         15581005657        35813.5524         9683.0924
 5.000000e+11         19308136142        35586.1714         6651.6536
 6.000000e+11         23007501786        30191.6689        -1258.3116
 7.000000e+11         26684074310        39428.2630         5679.8281
 8.000000e+11         30341383527        34506.1467        -1370.0344
 9.000000e+11         33981987586        45948.4896         8083.3095
 1.000000e+12         37607912018        38262.8049        -1475.7741
 2.000000e+12         73301896139        48195.4975        -6432.3993
 3.000000e+12        108340298703        80927.2802        15095.6042
 4.000000e+12        142966208126        61847.6795       -13313.8699
 5.000000e+12        177291661649        72125.9698       -11181.7988
 6.000000e+12        211381427039        99289.4065         8668.9067
 7.000000e+12        245277688804       110789.8197        13483.7731
 8.000000e+12        279010070811        79478.0329       -24019.8995
 9.000000e+12        312600354108       127830.8386        18542.4553
 1.000000e+13        346065536839       108971.0503        -5773.1740
 1.100000e+13        379418886337       112657.5542        -7258.1337
 1.200000e+13        412671294782        88008.6253       -36833.0266
 1.300000e+13        445831610611       157230.3263        27677.3989
 1.400000e+13        478907544860       151774.5337        17700.1158
 1.500000e+13        511905471132       125904.1735       -12522.4150
 1.600000e+13        544830816681       193903.6546        51277.1576
 1.700000e+13        577688618018       144607.2552        -2081.2814
 1.800000e+13        610482945548       146117.6119        -4507.3708
 1.900000e+13        643217611048       138409.5740       -16036.8298
 2.000000e+13        675895909271       170356.4223        12194.4469
 2.100000e+13        708520996055        84243.3484       -77536.3752
 2.200000e+13        741095263696       190877.2552        25570.5392
 2.300000e+13        773621469799       181878.4100        13129.1952
 2.400000e+13        806101694965       205855.8980        33743.0993
 2.500000e+13        838538039510       199809.3947        24406.9314
 2.600000e+13        870932387429       148708.9651       -29913.7369
 2.700000e+13        903286330549       181201.5326         -576.0420
 2.800000e+13        935601570432       184574.8917         -295.8708
 2.900000e+13        967879555617       181932.1009        -5973.5162
 3.000000e+13       1000121668853       157352.6492       -33532.5500
 3.100000e+13       1032329128089       165616.0979       -28196.2148
 3.200000e+13       1064503165321       162662.9859       -34026.5486
 3.300000e+13       1096644814079       226232.6590        26713.4205
 3.400000e+13       1128755244845       227568.7290        25265.1113
 3.500000e+13       1160835361525       241218.4329        36173.7301
 3.600000e+13       1192886020432       331592.2735       123847.8949
 3.700000e+13       1224908399841       188325.5273       -22078.8704
 3.800000e+13       1256902966055       164588.3757       -48438.0181
 3.900000e+13       1288870563991       190407.7223       -25204.1696
 4.000000e+13       1320811971702       221645.5455         3483.2265
 4.100000e+13       1352727915540       227980.4036         7301.3918
 4.200000e+13       1384619087497       178399.0723       -44764.1529
 4.300000e+13       1416485977705       211254.9384       -14361.2001
 4.400000e+13       1448329305292       205728.4656       -22310.3965
 4.500000e+13       1480149581844       220467.5918        -9964.8508
 4.600000e+13       1511947346053       260852.1600        28054.2918
 4.700000e+13       1543723130448       314006.3077        78870.2350
 4.800000e+13       1575477577153       234633.0364        -2814.9035
 4.900000e+13       1607210998134       186224.8812       -53509.4260
 5.000000e+13       1638923764567       253032.6281        11036.6592
 5.100000e+13       1670616577394       170737.3355       -73496.3438
 5.200000e+13       1702289545955       248948.4567         2500.3015
 5.300000e+13       1733943394789       165444.6029       -83195.4759
 5.400000e+13       1765578211937       218832.3911       -31977.7086
 5.500000e+13       1797194471859       306518.8760        53560.0387
 5.600000e+13       1828792681047       279922.2349        24835.3525
 5.700000e+13       1860372997715       325545.6544        68350.8550
 5.800000e+13       1891935863219       334266.7326        74983.6052
 5.900000e+13       1923481549450       354604.1569        93251.7745
 6.000000e+13       1955010428258       323907.9257        60504.8676
 6.100000e+13       1986522749171       291212.9524        25777.3249
 6.200000e+13       2018018738052       319116.5086        51665.9645
 6.300000e+13       2049498854984       226392.6228       -43055.6198
 6.400000e+13       2080963092223       290506.2548        19077.1139
 6.500000e+13       2112411916194       306054.7934        32661.1537
 6.600000e+13       2143845585991       266678.1938        -8663.9309
 6.700000e+13       2175264258758       260062.8515       -17212.1150
 6.800000e+13       2206668169844       288148.1248         8955.6027
 6.900000e+13       2238057667938       232331.2440       -48763.8907
 7.000000e+13       2269432871304       197552.1958       -85430.9397
 7.100000e+13       2300793964184       216192.0299       -68664.8133
 7.200000e+13       2332141323100       122054.9153      -164661.6505
 7.300000e+13       2363474848702       218788.1579       -69774.4422
 7.400000e+13       2394794929574       316329.2938        25934.0613
 7.500000e+13       2426101844625       328754.2801        36539.5401
 7.600000e+13       2457395721409       316183.7201        22162.3301
 7.700000e+13       2488676723897       297224.9896         1409.5486
 7.800000e+13       2519944991438       310214.0589        12616.9155
 7.900000e+13       2551200765947       286219.7439       -13146.9950
 8.000000e+13       2582444113487       327644.0662        26519.6043
 8.100000e+13       2613675379008       253656.3466       -49214.1928
 8.200000e+13       2644894475517       311187.6115         6582.4204
 8.300000e+13       2676101820037       239127.8508       -67200.7792
 8.400000e+13       2707297202782       399299.6220        91258.5594
 8.500000e+13       2738481140597       423159.4638       113416.7744
 8.600000e+13       2769653677359       411531.5467       100097.8421
 8.700000e+13       2800814916205       402507.9599        89393.6629
 8.800000e+13       2831964992460       398643.0039        83858.3541
 8.900000e+13       2863104043147       397559.8344        81114.8937
 9.000000e+13       2894232250783       348265.7794        30170.4365
 9.100000e+13       2925349680455       314182.6280        -5553.3961
 9.200000e+13       2956456424040       329028.1725         7661.0246
 9.300000e+13       2987552707985       289133.2633       -33855.6098
 9.400000e+13       3018638618871       227970.6227       -96630.7314
 9.500000e+13       3049714111381       308275.6448       -17929.0967
 9.600000e+13       3080779512073       318358.3962        -9440.7854
 9.700000e+13       3111834899511       292054.0177       -37330.7993
 9.800000e+13       3142880294628       318437.7151       -12524.0712
 9.900000e+13       3173915901399       301226.5156       -31303.7095
 1.000000e+14       3204941750802       314889.9540       -19200.3110
 1.010000e+14       3235957953875       351661.8462        16019.8119
 1.020000e+14       3266964657483       365839.2947        28653.6361
 1.030000e+14       3297961919299       398865.0633        60143.8035
 1.040000e+14       3328949899119       388073.4522        47824.4951
 1.050000e+14       3359928666221       359389.7924        17620.9258
 1.060000e+14       3390898336950       289801.6775       -53479.4246
 1.070000e+14       3421858875180       306951.0377       -37834.7364
 1.080000e+14       3452810475850       305650.1610       -40632.8297
 1.090000e+14       3483753161542       351353.7561         3580.8985
 1.100000e+14       3514687156436       306252.1485       -43003.3294
 1.110000e+14       3545612389797       325830.6961       -24900.2563
 1.120000e+14       3576529121002       233887.5049      -118311.8747
 1.130000e+14       3607437145217       316899.5218       -36761.3338
 1.140000e+14       3638336835589       281872.0785       -73243.3962
 1.150000e+14       3669228069876       329748.9529       -26814.3760
 1.160000e+14       3700111147796       238102.0153      -119902.4928
 1.170000e+14       3730985963099       189096.5209      -170342.5795
 1.180000e+14       3761852488112       284982.1060       -75885.0859
 1.190000e+14       3792711017819       304047.5448       -58241.3220
 1.200000e+14       3823561506566       363949.3195          245.1117
 1.210000e+14       3854404065940       423865.0526        58751.7571
 1.220000e+14       3885238840993       408300.8504        41784.6414
 1.230000e+14       3916065744631       472732.6022       104819.5765
 1.240000e+14       3946885022584       438665.2782        69361.4567
 1.250000e+14       3977696644164       402903.2673        32214.5967
 1.260000e+14       4008500671789       368053.7936        -4013.8523
 1.270000e+14       4039297092727       410809.4480        37368.6293
 1.280000e+14       4070086022472       478597.8716       103789.6127
 1.290000e+14       4100867625083       469267.6228        93097.5878
 1.300000e+14       4131641836725       507571.2616       130045.0474
 1.310000e+14       4162408891817       419040.6805        40163.8182
 1.320000e+14       4193168652698       400343.7119        20121.6678
 1.330000e+14       4223921229182       399751.0390        18189.2163
 1.340000e+14       4254666679385       416330.4378        33434.1773
 1.350000e+14       4285405133096       376596.3742        -7629.0441
 1.360000e+14       4316136553949       372357.9816       -13191.3745
 1.370000e+14       4346860978409       421752.4408        34884.3083
 1.380000e+14       4377578583249       401786.7860        13604.9807
 1.390000e+14       4408289361212       372694.1558       -16796.2752
 1.400000e+14       4438993433550       265412.5116      -125381.5536
 1.410000e+14       4469690620802       310823.8408       -81268.9215
 1.420000e+14       4500381173274       309290.8651       -84095.7110
 1.430000e+14       4531065071494       330218.2696       -64457.2896
 1.440000e+14       4561742386568       351712.4712       -44247.2919
 1.450000e+14       4592413163940       376836.9422       -20402.2966
 1.460000e+14       4623077366181       490838.1039        92324.0678
 1.470000e+14       4653735190109       544039.8058       144255.6018
 1.480000e+14       4684386662395       556251.4049       155201.6141
 1.490000e+14       4715031792533       563811.4576       161500.6138
 1.500000e+14       4745670621117       571324.0389       167756.6293
 1.510000e+14       4776303255014       516498.7004       111679.1665
 1.520000e+14       4806929598685       538842.0797       132774.8177
 1.530000e+14       4837549795480       538375.1721       131064.5344
 1.540000e+14       4868163917331       485952.2775        77402.5726
 1.550000e+14       4898772014629       373395.6308       -36388.8754
 1.560000e+14       4929373904757       424973.7282        13958.6444
 1.570000e+14       4959969856070       413432.3582         1190.8789
 1.580000e+14       4990559777556       470344.3465        56880.6133
 1.590000e+14       5021143924065       380891.0257       -33790.8599
 1.600000e+14       5051722055327       424854.4365         8958.4602
 1.610000e+14       5082294389623       422956.2700         5850.2261
 1.620000e+14       5112860910319       430333.5589        12021.4322
 1.630000e+14       5143421606927       495487.1262        75972.8639
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 9.828000e+15     274568579687375      2412397.1002      -451698.5590
 9.829000e+15     274595735696557      2559436.2576      -304796.5600
 9.830000e+15     274622891766582      2570603.9498      -293766.0187
 9.831000e+15     274650047763152      2580206.2239      -284300.8883
 9.832000e+15     274677203642738      2631780.1253      -232864.1231
 9.833000e+15     274704359580367      2550306.6978      -314474.6794
 9.834000e+15     274731515413021      2498811.9836      -366106.5152
 9.835000e+15     274758671147855      2470149.0229      -394906.5901
 9.836000e+15     274785826724030      2525164.8545      -340027.8653
 9.837000e+15     274812982218251      2587162.5154      -278167.3038
 9.838000e+15     274840137679059      2607609.0410      -257857.8704
 9.839000e+15     274867293124783      2568183.4649      -297420.5312
 9.840000e+15     274894448439719      2584597.8192      -281143.2543
 9.841000e+15     274921603808362      2472365.1342      -393513.0094
 9.842000e+15     274948759044467      2417738.4385      -448276.7679
 9.843000e+15     274975914145568      2423191.7590      -442960.5027
 9.844000e+15     275003069123773      2476625.1211      -389664.1886
 9.845000e+15     275030224106914      2450214.5484      -416211.8020
 9.846000e+15     275057378901436      2537523.0628      -329040.3210
 9.847000e+15     275084533589932      2655965.6845      -210734.7253
 9.848000e+15     275111688197256      2780696.4322       -86140.9962
 9.849000e+15     275138842772544      2862587.3228        -4387.1170
 9.850000e+15     275165997361262      2856180.3715       -10931.0723
 9.851000e+15     275193151808815      2916078.5919        48830.1514
 9.852000e+15     275220306311150      2846342.9958       -21042.4340
 9.853000e+15     275247460701513      2813735.5935       -53786.8183
 9.854000e+15     275274615072639      2725529.3936      -142129.9929
 9.855000e+15     275301769381200      2625060.4029      -242735.9510
 9.856000e+15     275328923527534      2611998.6266      -255934.6872
 9.857000e+15     275356077553767      2644226.0683      -223844.1982
 9.858000e+15     275383231609941      2571708.7299      -296498.4820
 9.859000e+15     275410385633410      2457100.6115      -411243.5384
 9.860000e+15     275437539304859      2619724.7117      -248756.3689
 9.861000e+15     275464693129561      2554316.0273      -314301.9767
 9.862000e+15     275491846870167      2498231.5536      -370523.3664
 9.863000e+15     275519000529753      2448403.2841      -420488.5446
 9.864000e+15     275546154112407      2400751.2107      -468277.5195
 9.865000e+15     275573307477882      2495530.3235      -373635.3008
 9.866000e+15     275600460904724      2454202.6111      -415099.8999
 9.867000e+15     275627614199537      2470172.0604      -399267.3301
 9.868000e+15     275654767449166      2456601.6565      -412974.6061
 9.869000e+15     275681920477184      2589926.3831      -279786.7443
 9.870000e+15     275709073658712      2495033.2220      -374816.7630
 9.871000e+15     275736226731466      2434214.1534      -435772.6817
 9.872000e+15     275763379764098      2338825.1559      -531298.5221
 9.873000e+15     275790532480703      2484779.2064      -385481.3072
 9.874000e+15     275817685253713      2499652.2801      -370745.0618
 9.875000e+15     275844838041555      2425025.3506      -445508.8123
 9.876000e+15     275871990662312      2442823.3898      -427847.5867
 9.877000e+15     275899143216687      2452351.3680      -418456.4149
 9.878000e+15     275926295679852      2478445.2537      -392499.3282
 9.879000e+15     275953448169516      2403404.0139      -467677.3597
 9.880000e+15     275980600624809      2288105.6139      -583112.5441
 9.881000e+15     276007753016323      2161966.0173      -709388.9179
 9.882000e+15     276034905154164      2214887.1861      -656604.5189
 9.883000e+15     276062057135259      2349950.0806      -521678.3870
 9.884000e+15     276089209160953      2365817.6594      -505947.5634
 9.885000e+15     276116361089734      2404009.8795      -467892.0912
 9.886000e+15     276143512888104      2498032.6963      -374006.0151
 9.887000e+15     276170664823658      2380299.0635      -491876.3812
 9.888000e+15     276197816505575      2441637.9331      -430674.2377
 9.889000e+15     276224968289832      2326080.2555      -546368.6340
 9.890000e+15     276252119883855      2326207.9795      -546377.6216
 9.891000e+15     276279271391056      2338617.0520      -534105.2533
 9.892000e+15     276306422965589      2209161.4185      -663697.5836
 9.893000e+15     276333574406026      2139277.0229      -733718.6689
 9.894000e+15     276360725551660      2289678.8072      -583453.5669
 9.895000e+15     276387876779143      2283722.7119      -589546.3372
 9.896000e+15     276415027869185      2340706.6758      -532699.0411
 9.897000e+15     276442178992090      2290334.6361      -583207.7412
 9.898000e+15     276469330006174      2274298.5284      -599380.5021
 9.899000e+15     276496480959897      2244146.2865      -629669.3899
 9.900000e+15     276523631752529      2300615.8426      -573336.4724
 9.901000e+15     276550782522891      2304894.1274      -569194.8190
 9.902000e+15     276577933112143      2415829.0697      -458396.5007
 9.903000e+15     276605083846263      2307450.5969      -566911.5903
 9.904000e+15     276632234354977      2350040.6346      -524458.1621
 9.905000e+15     276659384794120      2387772.1068      -486863.2921
 9.906000e+15     276686535269719      2314625.9359      -560146.0580
 9.907000e+15     276713685464740      2447644.0426      -427264.5390
 9.908000e+15     276740835638520      2527497.3459      -347547.8161
 9.909000e+15     276767985777358      2567894.7633      -307286.9719
 9.910000e+15     276795135973153      2476945.2106      -398373.0905
 9.911000e+15     276822286009379      2471182.6019      -404272.2579
 9.912000e+15     276849436002859      2433791.8496      -441799.5615
 9.913000e+15     276876585910479      2407894.8648      -467833.0904
 9.914000e+15     276903735655061      2470677.5565      -405186.9355
 9.915000e+15     276930885303167      2555585.8324      -320415.1892
 9.916000e+15     276958034974673      2542751.5983      -333385.9455
 9.917000e+15     276985184467505      2634256.7587      -242017.3002
 9.918000e+15     277012333994686      2617086.2162      -259324.3505
 9.919000e+15     277039483454893      2592570.8717      -283976.1955
 9.920000e+15     277066632879474      2529370.6247      -347312.9357
 9.921000e+15     277093782091963      2603959.3729      -272860.6735
 9.922000e+15     277120931313991      2594714.0125      -282242.5127
 9.923000e+15     277148080483851      2563349.4379      -313743.5588
 9.924000e+15     277175229607562      2503854.5419      -373374.9190
 9.925000e+15     277202378652834      2448527.2158      -428838.7021
 9.926000e+15     277229527494597      2522445.3491      -355057.0185
 9.927000e+15     277256676295703      2562764.8298      -314873.9803
 9.928000e+15     277283825042721      2582924.5442      -294850.7012
 9.929000e+15     277310973793923      2524660.3769      -353251.2965
 9.930000e+15     277338122391726      2545563.2110      -332484.8831
 9.931000e+15     277365270920756      2561014.9279      -317169.5797
 9.932000e+15     277392419259531      2692505.4074      -185815.5065
 9.933000e+15     277419567608033      2740060.5276      -138396.7853
 9.934000e+15     277446716024023      2645927.1651      -232666.5396
 9.935000e+15     277473864285114      2632500.1946      -246229.8946
 9.936000e+15     277501012472160      2618933.4895      -259932.9770
 9.937000e+15     277528160608457      2581938.9215      -297063.9151
 9.938000e+15     277555308599219      2616310.3604      -262828.8390
 9.939000e+15     277582456654488      2512013.6747      -367261.8803
 9.940000e+15     277609604524116      2519204.7311      -360207.1722
 9.941000e+15     277636752486208      2359786.3947      -519761.8497
 9.942000e+15     277663900268393      2306137.5290      -573547.0493
 9.943000e+15     277691047953267      2275669.9960      -604150.9090
 9.944000e+15     277718195415367      2393854.6557      -486102.5687
 9.945000e+15     277745342906638      2408754.3669      -471339.1697
 9.946000e+15     277772490315229      2432227.9865      -448001.8550
 9.947000e+15     277799637657574      2447849.3698      -432516.7694
 9.948000e+15     277826784939906      2449393.3707      -431109.0590
 9.949000e+15     277853932182137      2416955.8413      -463682.8717
 9.950000e+15     277881079345604      2389207.6319      -491567.3571
 9.951000e+15     277908226430630      2365833.5916      -515077.6662
 9.952000e+15     277935373324166      2459890.5676      -421156.9519
 9.953000e+15     277962520089874      2607724.4055      -273459.3684
 9.954000e+15     277989666843050      2694046.9492      -187273.0718
 9.955000e+15     278016813611182      2691378.0413      -190078.2197
 9.956000e+15     278043960293407      2700588.5225      -181003.9713
 9.957000e+15     278071106940178      2671233.2318      -210495.4874
 9.958000e+15     278098253388041      2766774.0070      -115090.9306
 9.959000e+15     278125399686953      2937261.6838        55260.5351
 9.960000e+15     278152546127259      2892359.0966        10221.7441
 9.961000e+15     278179692430886      2910147.0780        27873.5288
 9.962000e+15     278206838694736      2893731.4592        11321.7206
 9.963000e+15     278233984857464      2904465.0696        21919.1487
 9.964000e+15     278261130983424      2878001.7369        -4680.3590
 9.965000e+15     278288277114937      2772028.2875      -110789.9762
 9.966000e+15     278315423129261      2709294.5459      -173659.8784
 9.967000e+15     278342568970803      2745401.3352      -137689.2426
 9.968000e+15     278369714769790      2750129.4766      -133097.2473
 9.969000e+15     278396860545674      2704034.7901      -179328.0729
 9.970000e+15     278424006200467      2705113.0936      -178385.9012
 9.971000e+15     278451151749163      2738378.2038      -145256.9156
 9.972000e+15     278478296969377      3026222.9356       142451.6988
 9.973000e+15     278505442413880      3015884.1023       131976.7552
 9.974000e+15     278532587789626      3000415.5156       116372.0655
 9.975000e+15     278559733175197      2901242.9856        17063.4397
 9.976000e+15     278586878415856      2873111.3208       -11204.3137
 9.977000e+15     278614023482286      2945345.3281        60893.6122
 9.978000e+15     278641168655763      2836676.8127       -47910.9774
 9.979000e+15     278668313603076      2880324.5783        -4399.2788
 9.980000e+15     278695458512312      2888209.4270         3349.5100
 9.981000e+15     278722603229136      3014674.1592       129678.1895
 9.982000e+15     278749747978437      3034837.5737       149705.5586
 9.983000e+15     278776892705508      3003414.4679       118146.4144
 9.984000e+15     278804037391389      2939372.6372        53968.5527
 9.985000e+15     278831181967370      2911429.8758        25889.7674
 9.986000e+15     278858326570305      2782739.9760      -102936.1491
 9.987000e+15     278885470946486      2807018.7287       -78793.4060
 9.988000e+15     278912615221425      2858761.9231       -27186.2140
 9.989000e+15     278939759430543      2902556.3467        16472.2145
 9.990000e+15     278966903431261      3080988.7857       194768.6655
 9.991000e+15     278994047468442      3149204.0243       262847.9233
 9.992000e+15     279021191558802      3090493.8455       204001.7708
 9.993000e+15     279048335392864      3214343.0303       327714.9892
 9.994000e+15     279075479310274      3181113.3585       294349.3581
 9.995000e+15     279102623102654      3199190.6080       312290.6554
 9.996000e+15     279129766814971      3223615.5551       336579.6576
 9.997000e+15     279156910342682      3358938.9748       471767.1395
 9.998000e+15     279184053940794      3350161.6401       462853.8743
 9.999000e+15     279211197575408      3231190.3228       343746.6335
 1.000000e+16     279238341033925      3214631.7928       327052.1872
======================================================================

A table of prime counts pi(x) to 1e16 Thomas R. Nicely

http://www.trnicely.net Current e-mail address

A table of prime counts pi(x) to 1e16
Thomas R. Nicely

http://www.trnicely.net
Current e-mail address