Last updated 0400 EDT 23 July 2007.

• This is an extended table of the values of pi(x), the number of primes <= x, for the domain (5e15)(1e12)(9.2e15).
• See also on this site A table of prime counts pi(x) to 5e15.
• The counts in this table were obtained by the author, employing a direct and explicit generation and enumeration of the primes.
• Also given are the differences Li(x) - pi(x) and R(x) - pi(x), as computed by Nicely. For a discussion of the functions Li(x) and R(x), see A table of prime counts pi(x) to 5e15.
• 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.
• 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.

==========================================================
     x           pi(x)          Li - pi         R - pi
==========================================================
 5.0000e15  142377417196364   2277608.2334    193397.4165
 5.0010e15  142405081002315   2278928.7048    194521.9684
 5.0020e15  142432744676974   2258515.3803    173912.7451
 5.0030e15  142460408107377   2329364.5455    244566.0322
 5.0040e15  142488071461036   2323996.4724    239002.1016
 5.0050e15  142515734739587   2240807.4197    155617.2121
 5.0060e15  142543397822786   2200073.6332    114687.6094
 5.0070e15  142571060722200   2190260.3450    104678.5257
 5.0080e15  142598723421269   2227959.7744    142182.1802
 5.0090e15  142626386019554   2213643.1271    127669.7787
 5.0100e15  142654048413477   2250920.5957    164751.5138
 5.0110e15  142681710700238   2242624.3598    156259.5649
 5.0120e15  142709372836211   2232412.5854    145852.0982
 5.0130e15  142737034881200   2160513.4257     73757.2667
 5.0140e15  142764696610259   2251905.0203    164953.2102
 5.0150e15  142792358279710   2250297.4960    163150.0554
 5.0160e15  142820019786418   2258857.9662    171514.9156
 5.0170e15  142847681202750   2205251.5312    117712.8912
 5.0180e15  142875342330224   2287992.2781    200258.0693
 5.0190e15  142903003460877   2215075.2808    127145.5239
 5.0200e15  142930664297621   2283620.6003    195495.3157
 5.0210e15  142958325007324   2326792.2841    238471.4925
 5.0220e15  142985985525015   2409593.3670    321077.0888
 5.0230e15  143013645984193   2398556.8702    309845.1261
 5.0240e15  143041306336930   2341642.8022    252735.6127
 5.0250e15  143068966458460   2363649.1582    274546.5438
 5.0260e15  143096626347998   2465392.9203    376094.9015
 5.0270e15  143124286211979   2440471.0576    350977.6550
 5.0280e15  143151946019006   2320312.5260    230623.7600
 5.0290e15  143179605538467   2335561.2684    245677.1597
 5.0300e15  143207264900256   2356355.2147    266275.7837
 5.0310e15  143234924191413   2295686.2816    205411.5488
 5.0320e15  143262583222158   2343366.3729    252896.3588
 5.0330e15  143290242134047   2357871.3792    267206.1043
 5.0340e15  143317901024701   2241612.1783    150751.6630
 5.0350e15  143345559667493   2221247.6346    130191.8995
 5.0360e15  143373218189060   2170172.6000     78921.6654
 5.0370e15  143400876629941   2047879.9128    -43566.2006
 5.0380e15  143428534786193   2058344.3989    -33296.8730
 5.0390e15  143456192721133   2138280.8707     46444.4608
 5.0400e15  143483850408182   2314300.1280    222268.6004
 5.0410e15  143511508168963   2264810.9572    172584.3326
 5.0420e15  143539165719229   2274092.1323    181670.4309
 5.0430e15  143566823216782   2184373.4137     91756.6560
 5.0440e15  143594480593428   2063880.5494    -28931.2441
 5.0450e15  143622137774537   1987275.2742   -105731.5348
 5.0460e15  143649794636975   2077723.3098    -15478.4942
 5.0470e15  143677451386527   2129471.3654     36074.5867
 5.0480e15  143705108053669   2112075.1368     18483.4039
 5.0490e15  143732764593046   2070921.3073    -22865.3595
 5.0500e15  143760420880970   2129729.5471     35747.9667
 5.0510e15  143788077089033   2116939.5133     22763.0399
 5.0520e15  143815733126720   2123097.8506     28726.5044
 5.0530e15  143843389130403   2011864.1904    -82702.0082
 5.0540e15  143871044841744   2041608.1513    -53152.8793
 5.0550e15  143898700376043   2097061.3393      2105.4970
 5.0560e15  143926355668857   2242698.3471    147547.7135
 5.0570e15  143954011095893   2102843.7549      7498.3503
 5.0580e15  143981666335489   1999191.1300    -96349.0253
 5.0590e15  144009321147880   2171537.0267     75802.1411
 5.0600e15  144036975961095   2191883.9867     95954.3910
 5.0610e15  144064630509549   2325848.5386    229724.2532
 5.0620e15  144092285059407   2307297.1984    210978.2437
 5.0630e15  144119939397880   2349050.4693    252536.8654
 5.0640e15  144147593616666   2359441.8415    262733.6089
 5.0650e15  144175247476098   2578169.7928    481266.9516
 5.0660e15  144202901454055   2527386.7877    430289.3583
 5.0670e15  144230555251314   2506347.2783    409055.2810
 5.0680e15  144258209003457   2379500.7039    282014.1589
 5.0690e15  144285862566229   2291133.4908    193452.4184
 5.0700e15  144313515919799   2261108.0529    163232.4733
 5.0710e15  144341169199352   2154270.7911     56200.7246
 5.0720e15  144368822133879   2241662.0935    143397.5604
 5.0730e15  144396475075546   2171147.3359     72688.3563
 5.0740e15  144424127771341   2195769.8808     97116.4750
 5.0750e15  144451780412097   2124728.0784     25880.2667
 5.0760e15  144479432709893   2245974.2661    146932.0687
 5.0770e15  144507085000289   2223979.7686    124743.2056
 5.0780e15  144534737147080   2194980.8977     95549.9894
 5.0790e15  144562389146876   2162398.9529     62773.7195
 5.0800e15  144590040899354   2226588.2207    126768.6824
 5.0810e15  144617692582271   2209822.9751    109809.1521
 5.0820e15  144645344135405   2172356.4775     72148.3899
 5.0830e15  144672995463016   2209959.9763    109557.6445
 5.0840e15  144700646772830   2114938.7078     14342.1517
 5.0850e15  144728297818877   2133293.8951     32503.1351
 5.0860e15  144755948653134   2213079.7491    112094.8052
 5.0870e15  144783599368940   2260988.4679    159809.3603
 5.0880e15  144811250078409   2164937.2370     63563.9858
 5.0890e15  144838900498968   2207530.2292    105962.8547
 5.0900e15  144866550785500   2233915.6049    132154.1271
 5.0910e15  144894200833211   2348918.5118    246962.9508
 5.0920e15  144921850794437   2400234.0850    298084.4610
 5.0930e15  144949500802555   2254516.4470    152172.7801
 5.0940e15  144977150405689   2363672.7079    261135.0182
 5.0950e15  145004799911254   2420318.9650    317587.2726
 5.0960e15  145032449336162   2407574.3032    304648.6283
 5.0970e15  145060098690981   2314901.7948    211782.1574
 5.0980e15  145087747747042   2371001.4996    267687.9198
 5.0990e15  145115396615692   2464557.4649    361049.9628
 5.1000e15  145143045599692   2292839.7254    189138.3211
 5.1010e15  145170694190374   2364547.3032    260652.0168
 5.1020e15  145198342733729   2333720.2082    229631.0596
 5.1030e15  145225991105979   2324167.4374    219884.4468
 5.1040e15  145253639209062   2433981.9757    329505.1631
 5.1050e15  145281287230907   2475265.7952    370595.1806
 5.1060e15  145308935212383   2407180.8556    302316.4592
 5.1070e15  145336582944602   2438646.1043    333587.9460
 5.1080e15  145364230543491   2453765.4761    348513.5759
 5.1090e15  145391878025890   2435729.8932    330284.2713
 5.1100e15  145419525381542   2394827.2657    289187.9420
 5.1110e15  145447172491675   2449860.4910    344027.4854
 5.1120e15  145474819480353   2476796.4540    370769.7867
 5.1130e15  145502466300955   2522287.0275    416066.7184
 5.1140e15  145530113041035   2498809.0716    392395.1407
 5.1150e15  145557759566745   2540241.4341    433633.9014
 5.1160e15  145585406076957   2447742.9503    340941.8358
 5.1170e15  145613052351810   2441205.4432    334210.7669
 5.1180e15  145640698539571   2372392.7235    265204.5053
 5.1190e15  145668344477228   2404347.5893    296965.8491
 5.1200e15  145695990276663   2425218.8264    317643.5843
 5.1210e15  145723636060811   2312102.2083    204333.4842
 5.1220e15  145751281383021   2511679.4962    403717.3099
 5.1230e15  145778926669230   2598044.4387    489888.8103
 5.1240e15  145806571827381   2663284.7722    554935.7217
 5.1250e15  145834216924401   2640504.2210    531961.7682
 5.1260e15  145861862114736   2375287.4966    266551.6614
 5.1270e15  145889506890135   2375916.2985    266987.1009
 5.1280e15  145917151405126   2487893.3138    378770.7737
 5.1290e15  145944795853189   2517769.2173    408453.3545
 5.1300e15  145972440180746   2519152.6715    409643.5060
 5.1310e15  146000084430402   2449469.3266    339766.8783
 5.1320e15  146027728582597   2328309.8205    218414.1092
 5.1330e15  146055372418376   2374659.7788    264570.8245
 5.1340e15  146083015995744   2530544.8149    420262.6374
 5.1350e15  146110659585141   2525555.5300    415080.1491
 5.1360e15  146138302964575   2581714.5128    471045.9485
 5.1370e15  146165946192044   2641054.3399    530192.6120
 5.1380e15  146193589357249   2613904.5758    502849.7041
 5.1390e15  146221232429428   2531057.7724    419809.7768
 5.1400e15  146248875207182   2593943.4698    482502.3701
 5.1410e15  146276517886293   2606810.1955    495176.0116
 5.1420e15  146304160442187   2594262.4651    482435.2168
 5.1430e15  146331802817529   2613665.7817    501645.4888
 5.1440e15  146359445061382   2615987.6365    503774.3188
 5.1450e15  146387087160474   2614530.5083    502124.1856
 5.1460e15  146414729054896   2669233.8638    556634.5559
 5.1470e15  146442370807950   2716826.1574    604033.8842
 5.1480e15  146470012498291   2678682.8316    565697.6128
 5.1490e15  146497654136196   2544557.3164    431379.1718
 5.1500e15  146525295553777   2482368.0299    368996.9793
 5.1510e15  146552936730233   2512946.3780    399382.4411
 5.1520e15  146580577758436   2543450.7544    429693.9510
 5.1530e15  146608218683556   2528741.5406    414791.8905
 5.1540e15  146635859408271   2566171.1062    452028.6291
 5.1550e15  146663500085662   2502688.8085    388353.5242
 5.1560e15  146691140687468   2366585.9926    252057.9209
 5.1570e15  146718780950382   2421199.9919    306479.1524
 5.1580e15  146746421018542   2522423.1272    407509.5397
 5.1590e15  146774061097925   2464308.7076    349202.3918
 5.1600e15  146801700944416   2491002.0298    375703.0055
 5.1610e15  146829340754513   2406035.3788    290543.6656
 5.1620e15  146856980311929   2425726.0271    310041.6448
 5.1630e15  146884619657152   2509616.2354    393739.2037
 5.1640e15  146912258986506   2461412.2524    345342.5910
 5.1650e15  146939898131013   2450122.3146    333860.0431
 5.1660e15  146967537125190   2441259.6465    324804.7846
 5.1670e15  146995175957088   2446803.4605    330156.0280
 5.1680e15  147022814606976   2486514.9572    369674.9737
 5.1690e15  147050453196509   2438769.3250    321736.8101
 5.1700e15  147078091559364   2469919.7402    352694.7137
 5.1710e15  147105729861491   2414046.3674    296628.8488
 5.1720e15  147133367929191   2444878.3588    327268.3679
 5.1730e15  147161005777781   2547128.8550    429326.4114
 5.1740e15  147188643523695   2604393.9844    486399.1077
 5.1750e15  147216281260492   2523144.8635    404957.5733
 5.1760e15  147243918818797   2472786.5967    354406.9127
 5.1770e15  147271556195165   2456794.2766    338222.2184
 5.1780e15  147299193365613   2499180.9838    380416.5710
 5.1790e15  147326830504118   2425999.7869    307043.0392
 5.1800e15  147354467295709   2552251.7427    433102.6795
 5.1810e15  147382104106795   2511557.8957    392216.5368
 5.1820e15  147409740769698   2471626.2790    352092.6439
 5.1830e15  147437377183175   2533729.9134    414004.0217
 5.1840e15  147465013370380   2674744.8079    554826.6792
 5.1850e15  147492649594950   2631063.9596    510953.6135
 5.1860e15  147520285625390   2634212.3537    513909.8097
 5.1870e15  147547921458509   2687410.9635    566916.2412
 5.1880e15  147575557109275   2775721.7504    655034.8694
 5.1890e15  147603192797879   2678983.6640    558104.6437
 5.1900e15  147630828105574   2815973.6419    694902.5020
 5.1910e15  147658463437470   2781611.6099    660348.3699
 5.1920e15  147686098701882   2667612.4820    546157.1614
 5.1930e15  147713733661583   2711233.1603    589585.7787
 5.1940e15  147741368493962   2735114.5350    613275.1119
 5.1950e15  147769003117842   2820463.4846    698432.0395
 5.1960e15  147796637769518   2731014.8756    608791.4280
 5.1970e15  147824272148357   2767431.5629    645016.1323
 5.1980e15  147851906277729   2906373.3893    783765.9952
 5.1990e15  147879540467056   2838448.1861    715648.8480
 5.2000e15  147907174371027   2908996.7725    786005.5099
 5.2010e15  147934808254540   2853150.9561    729967.7885
 5.2020e15  147962441964687   2823848.5327    700473.4796
 5.2030e15  147990075466722   2855865.2863    732298.3671
 5.2040e15  148017708645000   3064875.9890    941117.2232
 5.2050e15  148045341935140   3015291.4014    891340.8085
 5.2060e15  148072975080077   2964206.2721    840063.8715
 5.2070e15  148100607992074   2999387.3380    875053.1491
 5.2080e15  148128240791929   3000066.3243    875540.3667
 5.2090e15  148155873466584   2979330.9445    854613.2375
 5.2100e15  148183505979871   2973378.9003    848469.4634
 5.2110e15  148211138326184   2987845.8817    862744.7342
 5.2120e15  148238770503453   3024831.5669    899538.7284
 5.2130e15  148266402522620   3073423.6225    947939.1123
 5.2140e15  148294034586469   2930867.7034    805191.5409
 5.2150e15  148321666350453   2941740.4527    815872.6574
 5.2160e15  148349297924441   2996202.5019    870143.0931
 5.2170e15  148376929450763   2951953.4707    825702.4679
 5.2180e15  148404560943336   2795105.9674    668663.3899
 5.2190e15  148432192119758   2808091.5883    681457.4555
 5.2200e15  148459823148810   2822158.9181    695333.2494
 5.2210e15  148487453993115   2874714.5301    747697.3448
 5.2220e15  148515084793634   2824826.9856    697618.3032
 5.2230e15  148542715369913   2852979.8346    725579.6743
 5.2240e15  148570345760179   2920975.6152    793383.9964
 5.2250e15  148597976065228   2928047.8539    800264.7959
 5.2260e15  148625606374414   2784872.0656    656897.5879
 5.2270e15  148653236513998   2665216.7538    537050.8757
 5.2280e15  148680866257636   2795455.4102    667098.1509
 5.2290e15  148708496004235   2776710.5147    648161.8936
 5.2300e15  148736125583712   2779094.5360    650354.5724
 5.2310e15  148763754927321   2871382.9310    742451.6442
 5.2320e15  148791384258768   2829899.1450    700776.5544
 5.2330e15  148819013389016   2843709.6118    714395.7366
 5.2340e15  148846642475292   2755616.7535    626111.6131
 5.2350e15  148874271373173   2710072.9809    580376.5945
 5.2360e15  148901900120118   2669648.6931    539761.0799
 5.2370e15  148929528714053   2636447.2774    506368.4569
 5.2380e15  148957157170601   2594875.1101    464605.1014
 5.2390e15  148984785447706   2587017.5554    456556.3778
 5.2400e15  149012413653082   2505189.9664    374537.6392
 5.2410e15  149040041755425   2380725.6845    249882.2269
 5.2420e15  149067669578351   2390038.0395    259003.4708
 5.2430e15  149095297233260   2421756.3499    290530.6893
 5.2440e15  149122924739709   2456352.9225    324936.1893
 5.2450e15  149150552151882   2439673.0528    308065.2662
 5.2460e15  149178179381695   2459830.0246    328031.2039
 5.2470e15  149205806452959   2493042.1104    361052.2747
 5.2480e15  149233433479437   2425575.5711    293394.7397
 5.2490e15  149261060264321   2454267.6563    321895.8484
 5.2500e15  149288686881288   2505470.6039    372907.8387
 5.2510e15  149316313497057   2412494.6405    279740.9372
 5.2520e15  149343939818946   2468050.9813    335106.3590
 5.2530e15  149371566020239   2498884.8299    365749.3079
 5.2540e15  149399192040331   2565630.3786    432303.9761
 5.2550e15  149426817864740   2682798.8081    549281.5443
 5.2560e15  149454443686757   2657128.2880    523420.1820
 5.2570e15  149482069312824   2682205.9762    548307.0472
 5.2580e15  149509694873606   2627396.0193    493306.2864
 5.2590e15  149537320333684   2528146.5524    393866.0348
 5.2600e15  149564945503496   2574048.6994    439577.4162
 5.2610e15  149592570576836   2571337.5726    436675.5430
 5.2620e15  149620195744884   2328862.2731    194009.5162
 5.2630e15  149647820612961   2241330.8905    106287.4254
 5.2640e15  149675445219606   2270233.5030    134999.3490
 5.2650e15  149703069646248   2334170.1777    198745.3537
 5.2660e15  149730693968817   2357239.9700    221624.4953
 5.2670e15  149758318131879   2394905.9241    259099.8178
 5.2680e15  149785942284287   2298344.0730    162347.3541
 5.2690e15  149813566120958   2372666.4382    236479.1258
 5.2700e15  149841189887783   2372011.0299    235633.1431
 5.2710e15  149868813540462   2340706.8469    204138.4048
 5.2720e15  149896436984573   2373204.8768    236445.8986
 5.2730e15  149924060396167   2293483.0960    156533.6006
 5.2740e15  149951683638457   2238357.4693    101217.4759
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 7.1