Thomas R. Nicely
Last updated 1000 GMT 18 January 2010.
This is an extended table of values of pi(x), the count of primes <= x, for 1e16 <= x <= 2e16. Also provided are the values of the related functions Li(x)-pi(x) and R(x)-pi(x). See A table of prime counts to 1e16 for an explanation of these symbols and additional notes.
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.
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x pi(x) Li(x)-pi(x) R(x)-pi(x)
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1.000000e+16 279238341033925 3214631.7928 327052.1872
1.000100e+16 279265484439719 3177119.8185 289404.3038
1.000200e+16 279292627629572 3281880.1667 394028.7501
1.000300e+16 279319770687324 3445080.6027 557093.2914
1.000400e+16 279346913945369 3334334.8901 446211.6911
1.000500e+16 279374056966606 3386751.7908 498492.7115
1.000600e+16 279401199864211 3489163.0654 600768.1128
1.000700e+16 279428342836341 3443419.4726 554888.6539
1.000800e+16 279455485750019 3382505.7697 493839.0921
1.000900e+16 279482628565390 3346284.7124 457482.1830
1.001000e+16 279509771260050 3357168.0547 468229.6806
1.001100e+16 279536914043847 3205315.5491 316241.3375
1.001200e+16 279564056567403 3240112.9464 350902.9045
1.001300e+16 279591198966630 3325655.9959 436310.1308
1.001400e+16 279618341481244 3222236.4453 332754.7642
1.001500e+16 279645483871110 3169997.0407 280379.5508
1.001600e+16 279672626198642 3106531.5267 216778.2350
1.001700e+16 279699768386288 3109399.6461 219510.5599
1.001800e+16 279726910540438 3072219.1402 182194.2666
1.001900e+16 279754052706111 2949978.7488 59818.0950
1.002000e+16 279781194747987 2878006.2101 -12290.2168
1.002100e+16 279808336535187 2987188.2607 96756.0677
1.002200e+16 279835478322768 3022475.6354 131907.6836
1.002300e+16 279862619966372 3128234.0677 237530.3643
1.002400e+16 279889761672760 3097710.2894 206870.8414
1.002500e+16 279916903339535 3033309.0308 142333.8454
1.002600e+16 279944044866564 3035171.0204 144060.1047
1.002700e+16 279971186344919 3012231.9853 120985.3465
1.002800e+16 279998327822682 2916417.6509 25035.2962
1.002900e+16 280025469177514 2870074.7413 -21443.3223
1.003000e+16 280052610505662 2776963.9786 -114689.7867
1.003100e+16 280079751695126 2749093.0835 -142696.3763
1.003200e+16 280106892724083 2808292.7753 -83632.3719
1.003300e+16 280134033704126 2842977.7714 -49083.0561
1.003400e+16 280161174668503 2819907.7879 -72288.7128
1.003500e+16 280188315476811 2879493.5391 -12838.6277
1.003600e+16 280215456198515 2952277.7378 59809.9122
1.003700e+16 280242596873911 2997972.0953 105368.6179
1.003800e+16 280269737562706 2956877.3212 64138.1991
1.003900e+16 280296878108828 2985073.1236 92198.3640
1.004000e+16 280324018663889 2930955.2090 37944.8190
1.004100e+16 280351159017208 3005212.2823 112066.2690
1.004200e+16 280378299319103 3057534.0468 164252.4174
1.004300e+16 280405439567941 3089561.2043 196143.9659
1.004400e+16 280432579770233 3094790.4551 201237.6147
1.004500e+16 280459719894367 3104841.4976 211153.0624
1.004600e+16 280486859987111 3072954.0289 179130.0061
1.004700e+16 280513999966068 3081532.7445 187573.1412
1.004800e+16 280541139941820 3020003.3384 125908.1615
1.004900e+16 280568279801393 3001347.5026 107116.7595
1.005000e+16 280595419580279 2990080.9282 95714.6258
1.005100e+16 280622559200095 3064594.3041 170092.4496
1.005200e+16 280649698809744 3075992.3180 181354.9185
1.005300e+16 280676838362773 3070735.6558 175962.7185
1.005400e+16 280703977797353 3110661.0022 215752.5341
1.005500e+16 280731117256135 3053125.0398 158081.0481
1.005600e+16 280758256618536 3018718.4501 123538.9418
1.005700e+16 280785396028371 2863633.9127 -31681.1050
1.005800e+16 280812535130968 2942551.1059 47100.5859
1.005900e+16 280839674260781 2921023.7062 25437.6909
1.006000e+16 280866813309393 2907476.3886 11754.8853
1.006100e+16 280893952351988 2826732.8267 -69124.1577
1.006200e+16 280921091149947 2917419.6922 21427.2339
1.006300e+16 280948230003633 2879181.6556 -16946.2695
1.006400e+16 280975368625379 2999693.3856 103430.0007
1.006500e+16 281002507414857 2879290.5493 -17108.2881
1.006600e+16 281029646032226 2857821.8124 -38712.4705
1.006700e+16 281056784579748 2833032.8390 -63636.8824
1.006800e+16 281083923078758 2783596.2916 -113208.8611
1.006900e+16 281111061212876 3025899.8310 128959.2541
1.007000e+16 281138199551945 2990108.1167 93032.1226
1.007100e+16 281165337867486 2904707.8064 7496.4023
1.007200e+16 281192476139690 2789515.5565 -107831.2507
1.007300e+16 281219614047525 2965571.0214 68088.8184
1.007400e+16 281246752025851 2998021.8545 100404.2627
1.007500e+16 281273889790457 3171086.7072 273333.7337
1.007600e+16 281301027651018 3175098.2295 277209.8815
1.007700e+16 281328165373308 3244290.0699 346266.3543
1.007800e+16 281355302990377 3345619.8752 447460.7992
1.007900e+16 281382440638297 3343023.2908 444728.8614
1.008000e+16 281409578202035 3351540.9603 453111.1846
1.008100e+16 281436715698745 3354026.5260 455461.4111
1.008200e+16 281463853116164 3362750.6286 464050.1816
1.008300e+16 281490990548241 3283771.9070 384936.1349
1.008400e+16 281518127972418 3139655.9988 240684.9088
1.008500e+16 281545265232832 3086273.5400 187167.1391
1.008600e+16 281572402348375 3104740.1650 205498.4603
1.008700e+16 281599539378735 3135375.5066 235998.5052
1.008800e+16 281626676361556 3140543.1961 241030.9051
1.008900e+16 281653813351146 3065942.8633 166295.2897
1.009000e+16 281680950282190 2976897.1363 77114.2872
1.009100e+16 281708087002735 3025366.6418 125448.5242
1.009200e+16 281735223640400 3083740.0049 183686.6259
1.009300e+16 281762360342752 3004457.8490 104269.2158
1.009400e+16 281789496825002 3072316.7962 171992.9157
1.009500e+16 281816633276755 3097719.4669 197260.3462
1.009600e+16 281843769720373 3058311.4798 157717.1260
1.009700e+16 281870905977395 3132561.4524 231831.8726
1.009800e+16 281898042251094 3117204.0005 216339.2017
1.009900e+16 281925178500217 3053499.7381 152499.7274
1.010000e+16 281952314626716 3039504.2781 138369.0625
1.010100e+16 281979450639354 3066462.2314 165191.8180
1.010200e+16 282006586570316 3102196.2078 200790.6036
1.010300e+16 282033722602363 2963952.8151 62412.0272
1.010400e+16 282060858421506 2965728.6598 64052.6954
1.010500e+16 282087994134021 3001255.3470 99444.2130
1.010600e+16 282115129726007 3084441.4799 182495.1834
1.010700e+16 282142265402704 3010054.6604 107973.2084
1.010800e+16 282169401015317 2926897.4887 24680.8883
1.010900e+16 282196536374901 3023922.5637 121570.8219
1.011000e+16 282223671728521 3054072.4824 151585.6063
1.011100e+16 282250807094247 2999284.8406 96662.8373
1.011200e+16 282277942437948 2893698.2323 -9058.8912
1.011300e+16 282305077620023 2876921.2502 -25970.9865
1.011400e+16 282332212742920 2846513.4851 -56513.8577
1.011500e+16 282359347813127 2795994.5266 -107167.9153
1.011600e+16 282386482791353 2764662.9627 -138634.5712
1.011700e+16 282413617741173 2688951.3797 -214481.2393
1.011800e+16 282440752556863 2674591.3624 -228976.3345
1.011900e+16 282467887260451 2699562.4941 -204140.2737
1.012000e+16 282495021929219 2686590.3567 -217247.4749
1.012100e+16 282522156535003 2663846.5304 -240126.3581
1.012200e+16 282549291149253 2559888.5938 -344219.3445
1.012300e+16 282576425477877 2668816.1240 -235426.8570
1.012400e+16 282603559944600 2566911.6968 -337466.3200
1.012500e+16 282630694155239 2648365.8861 -256147.1594
1.012600e+16 282657828447945 2575035.2644 -329612.8027
1.012700e+16 282684962571456 2598189.4029 -306593.6788
1.012800e+16 282712096661339 2582268.8709 -322649.2184
1.012900e+16 282739230761240 2483635.2364 -421417.8535
1.013000e+16 282766364602992 2570463.0657 -334725.0177
1.013100e+16 282793498511838 2517516.9237 -387806.1462
1.013200e+16 282820632304081 2508501.3737 -396956.6757
1.013300e+16 282847765921346 2601798.9776 -303794.0443
1.013400e+16 282874899613793 2547257.2954 -358470.6919
1.013500e+16 282902033182912 2543393.8860 -362469.0597
1.013600e+16 282929166605053 2613866.3065 -292131.5905
1.013700e+16 282956300009396 2629502.1127 -276630.7288
1.013800e+16 282983433338521 2647728.8585 -258538.9203
1.013900e+16 283010566633981 2627001.0965 -279401.6126
1.014000e+16 283037699797522 2665580.3779 -240957.2545
1.014100e+16 283064832852045 2740573.2522 -166099.2965
1.014200e+16 283091965901389 2748148.2672 -158659.1907
1.014300e+16 283119098980558 2653308.9696 -253633.3906
1.014400e+16 283146231912033 2633581.9042 -273495.3512
1.014500e+16 283173364814232 2570556.6145 -336655.5292
1.014600e+16 283200497549234 2602161.6422 -305185.3827
1.014700e+16 283227630364389 2481054.5278 -426427.3713
1.014800e+16 283254762850438 2616501.8101 -291114.9562
1.014900e+16 283281895340563 2675329.0263 -232422.6002
1.015000e+16 283309027773479 2718828.7123 -189057.7674
1.015100e+16 283336160186328 2709866.4022 -198154.9237
1.015200e+16 283363292435746 2791813.6288 -116342.5363
1.015300e+16 283390424634598 2851812.9232 -56478.0740
1.015400e+16 283417556755240 2917515.8152 9089.9928
1.015500e+16 283444689045684 2740917.8328 -167642.8077
1.015600e+16 283471821113687 2714269.5027 -194425.9490
1.015700e+16 283498953109329 2687498.3500 -221331.9058
1.015800e+16 283526085086472 2606749.8982 -302215.1548
1.015900e+16 283553216954203 2562944.6694 -346155.1738
1.016000e+16 283580348579602 2689010.1841 -220224.4422
1.016100e+16 283607480390267 2557355.9613 -352013.4412
1.016200e+16 283634611946599 2607588.5185 -301915.6532
1.016300e+16 283661743456680 2631633.3716 -278005.5622
1.016400e+16 283688874942863 2607145.0351 -302628.6539
1.016500e+16 283716006305247 2634032.0219 -275876.4153
1.016600e+16 283743137733675 2522458.8435 -387584.3350
1.016700e+16 283770268891059 2609521.0096 -300656.9031
1.016800e+16 283797399989964 2682661.0286 -227651.6113
1.016900e+16 283824530938056 2834220.4075 -76226.9526
1.017000e+16 283851661919488 2880053.6514 -30528.4219
1.017100e+16 283878792950701 2803727.2643 -106989.5153
1.017200e+16 283905923898502 2738441.7484 -172409.7305
1.017300e+16 283933054737034 2710061.6046 -200924.5667
1.017400e+16 283960185479756 2705135.3319 -205985.5246
1.017500e+16 283987316058951 2791387.4283 -119868.1065
1.017600e+16 284014446622481 2820963.3900 -90426.8163
1.017700e+16 284041577132648 2831568.7116 -79956.1590
1.017800e+16 284068707585950 2826712.8863 -84946.6417
1.017900e+16 284095837731238 3057552.4059 145758.2275
1.018000e+16 284122968155543 2937063.7606 25134.9387
1.018100e+16 284150098467195 2856924.4389 -55139.0194
1.018200e+16 284177228674861 2808474.9281 -103723.1597
1.018300e+16 284204358790183 2780080.7138 -132251.9965
1.018400e+16 284231488928482 2656428.2801 -256039.0458
1.018500e+16 284258618870762 2656521.1097 -256080.8248
1.018600e+16 284285748677055 2720334.6836 -192401.8525
1.018700e+16 284312878529495 2665742.4814 -247128.6493
1.018800e+16 284340008340426 2580407.9813 -332597.7371
1.018900e+16 284367137958260 2615926.6598 -297213.6393
1.019000e+16 284394267520176 2635126.9920 -278147.8808
1.019100e+16 284421397122184 2542006.4515 -371402.9881
1.019200e+16 284448526606094 2494762.5103 -418781.4892
1.019300e+16 284475655875376 2589932.6389 -323745.9134
1.019400e+16 284502785135015 2622539.3065 -291273.7917
1.019500e+16 284529914284694 2692906.9805 -221040.6566
1.019600e+16 284557043493217 2632239.1270 -281843.0421
1.019700e+16 284584172720259 2480868.2105 -433348.4836
1.019800e+16 284611301902610 2302011.6940 -612339.5181
1.019900e+16 284638430822006 2313941.0391 -600544.6842
1.020000e+16 284665559556332 2438778.7057 -475841.5217
1.020100e+16 284692688265032 2517088.1525 -397666.5721
1.020200e+16 284719816889115 2607867.8362 -307021.3786
1.020300e+16 284746945404379 2735327.2126 -179696.4855
1.020400e+16 284774074029635 2680662.7356 -234495.4389
1.020500e+16 284801202562419 2646345.8576 -268946.7862
1.020600e+16 284828330982254 2652861.0298 -262566.0765
1.020700e+16 284855459343184 2646171.7015 -269389.8603
1.020800e+16 284882587577017 2694477.3208 -221218.6895
1.020900e+16 284909715801790 2679748.3342 -236082.1177
1.021000e+16 284936844009732 2609763.1866 -306201.6999
1.021100e+16 284963972152824 2532548.3217 -383550.9926
1.021200e+16 284991100004734 2674443.1813 -241790.5537
1.021300e+16 285018227877550 2723367.2060 -193000.9428
1.021400e+16 285045355592893 2857706.8349 -58795.7208
1.021500e+16 285072483448991 2779241.5053 -137395.4504
1.021600e+16 285099611124483 2809339.6533 -107431.6953
1.021700e+16 285126738720686 2846691.7135 -70214.0212
1.021800e+16 285153866254958 2873947.1188 -43092.9950
1.021900e+16 285180993724755 2893657.3008 -23517.1852
1.022000e+16 285208121113226 2922680.6896 5371.8383
1.022100e+16 285235248468330 2913065.7135 -4377.4961
1.022200e+16 285262375759844 2895042.7998 -22534.7613
1.022300e+16 285289502941374 2915013.3739 -2698.5316
1.022400e+16 285316630087857 2898047.8598 -19798.3832
1.022500e+16 285343757238679 2804767.6802 -113212.8934
1.022600e+16 285370884307833 2721187.2562 -196927.6411
1.022700e+16 285398011178963 2763670.0072 -154579.2068
1.022800e+16 285425137931732 2852560.3515 -65823.1724
1.022900e+16 285452264686433 2867572.7055 -50945.1213
1.023000e+16 285479391318107 2933673.4844 15021.3616
1.023100e+16 285506518016991 2860633.1018 -58153.3100
1.023200e+16 285533644555673 2875870.9698 -43049.7241
1.023300e+16 285560771017321 2896226.4991 -22828.4700
1.023400e+16 285587897413250 2910392.0988 -8797.1386
1.023500e+16 285615023821473 2840362.1766 -78961.3222
1.023600e+16 285642150159958 2768176.1386 -151281.6146
1.023700e+16 285669276482922 2639624.3896 -279967.6112
1.023800e+16 285696402586411 2658668.3327 -261057.9087
1.023900e+16 285723528615440 2680300.3696 -239560.1055
1.024000e+16 285750654592332 2682204.9006 -237789.8013
1.024100e+16 285777780492194 2689282.3244 -230846.5974
1.024200e+16 285804906411113 2605453.0382 -314810.0965
1.024300e+16 285832032240723 2539090.4379 -381306.9029
1.024400e+16 285859157981744 2489481.9177 -431049.6222
1.024500e+16 285886283544103 2546707.8705 -373957.8617
1.024600e+16 285913408902496 2736079.6874 -184720.2301
1.024700e+16 285940534359026 2755501.7584 -165432.3375
1.024800e+16 285967659788569 2730105.4719 -190962.7956
1.024900e+16 285994784961931 2889092.2146 -32110.2174
1.025000e+16 286021910164714 2946867.3721 25530.7823
1.025100e+16 286049035325290 2975066.3281 53595.5875
1.025200e+16 286076160433182 2984173.4652 62568.5806
1.025300e+16 286103285569620 2892966.1642 -28772.8574
1.025400e+16 286130410327362 3108693.8046 186820.6530
1.025500e+16 286157535277079 3060692.7645 138685.4897
1.025600e+16 286184660107706 3060035.4203 137894.0292
1.025700e+16 286211784920038 3005934.1471 83658.6465
1.025800e+16 286238909611691 3000780.3184 78370.7153
1.025900e+16 286266034098127 3129119.3063 206575.6076
1.026000e+16 286293158712900 3057404.4814 134726.6939
1.026100e+16 286320283167379 3074274.2128 151462.3435
1.026200e+16 286347407530443 3110856.8682 187910.9239
1.026300e+16 286374531717367 3251884.8137 328804.8013
1.026400e+16 286401655966658 3258858.4140 335644.3405
1.026500e+16 286428780217515 3192586.0323 269237.9045
1.026600e+16 286455904384807 3138206.0305 214723.8553
1.026700e+16 286483028472082 3092177.7686 168561.5529
1.026800e+16 286510152348057 3185791.6057 262041.3563
1.026900e+16 286537276266071 3165715.8989 241831.6228
1.027000e+16 286564399936987 3321095.0041 397076.7082
1.027100e+16 286591523666203 3346538.2758 422385.9668
1.027200e+16 286618647380044 3315728.0667 391441.7517
1.027300e+16 286645770933908 3373273.7284 448853.4142
1.027400e+16 286672894440342 3406635.6108 482081.3042
1.027500e+16 286700017876907 3438260.0624 513571.7704
1.027600e+16 286727141205238 3506519.4302 581697.1596
1.027700e+16 286754264484574 3552182.0598 627225.8175
1.027800e+16 286781387758857 3531313.2953 606223.0881
1.027900e+16 286808510941734 3530273.4792 605049.3141
1.028000e+16 286835634000694 3581580.9528 656222.8366
1.028100e+16 286862757123483 3497497.0557 572004.9952
1.028200e+16 286889880075216 3512914.1260 587288.1282
1.028300e+16 286917002977846 3505886.5007 580126.5724
1.028400e+16 286944125807442 3500352.5148 574458.6629
1.028500e+16 286971248612392 3447931.5024 521903.7337
1.028600e+16 286998371225012 3516314.7956 590153.1170
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