分块打表

解题思路：

输入n  输出n以内的素数个数 我们很容易想到   我们用埃氏筛选法筛选出素数 然后再统计一个前缀和  就ok了

但是 这个题 n的范围是1e8   数组没办法开这么大 所以 这个方法不行了

那么 我们换一个方法  分块打表

把1e8 分成10000 为一块    我们统计出每隔一万个数字  的素数个数

就是 把一到一万的素数个数存下来   一万到两万存下来   两万到三万存下来。。。。以此类推

那么我们就把1e8分成了（1e8/10000）=1e4 块

我们做一个前缀和  得到这一万个数的前缀和 每个数代表的就是   n*10000 以内的素数个数

那么每次询问 我们就找到最近的10000的倍数  然后暴力统计剩下的素数个数就好了

方法呢就是这个方法

然后刚开始我用最朴素的判断素数方法打表  打了十几分钟 还没打完  就放弃了

我们需要更高效的判断素数的方法   所以就想到了米勒拉宾  

关于米勒拉宾  之前我写过     博客地址1   

#include<stdio.h>
#include<algorithm>
using namespace std;
typedef long long ll;
const int maxn=1e6+7;
int a[10007]={0,1229,2262,3245,4203,5133,6057,6935,7837,8713,9592,10453,
11301,12159,13010,13848,14683,15497,16342,17170,17984,18807,19618,20437,
21221,22044,22837,23642,24432,25224,25997,26800,27608,28404,29182,29977,
30757,31522,32300,33067,33860,34614,35390,36162,36941,37706,38458,39223,
40005,40766,41538,42291,43061,43825,44572,45322,46072,46819,47588,48351,
49098,49861,50612,51341,52074,52831,53564,54309,55063,55815,56543,57306,
58029,58789,59531,60238,60978,61733,62468,63206,63951,64683,65416,66161,
66890,67617,68342,69095,69823,70555,71274,72026,72734,73474,74187,74907,
75618,76350,77067,77777,78498,79251,79970,80702,81403,82134,82832,83548,
84270,84976,85714,86450,87166,87884,88602,89302,90030,90764,91490,92225,
92938,93614,94358,95051,95745,96469,97182,97900,98610,99332,100021,100730,
101433,102146,102852,103544,104258,104967,105690,106385,107126,107805,108487,
109205,109928,110630,111331,112047,112752,113458,114155,114886,115588,116279,
116965,117663,118376,119057,119758,120451,121127,121846,122540,123250,123942,
124634,125335,126051,126753,127428,128141,128837,129522,130213,130902,131608,
132292,132971,133671,134359,135072,135776,136448,137166,137841,138542,139249,
139952,140641,141338,142029,142718,143414,144125,144810,145502,146186,146859,
147529,148219,148933,149638,150328,151021,151711,152382,153078,153772,154445,
155131,155805,156504,157187,157884,158557,159250,159962,160629,161319,161998,
162662,163363,164023,164718,165398,166081,166769,167470,168164,168826,169511,
170201,170863,171535,172206,172873,173563,174254,174916,175621,176302,176962,
177654,178326,178983,179684,180371,181039,181711,182398,183072,183748,184423,
185120,185792,186462,187134,187812,188511,189204,189880,190533,191214,191886,
192567,193256,193951,194613,195278,195959,196645,197324,198019,198664,199321,
199993,200664,201349,202015,202678,203362,204052,204747,205414,206118,206789,
207443,208116,208769,209447,210109,210790,211453,212124,212804,213453,214105,
214799,215458,216129,216816,217486,218145,218808,219465,220136,220793,221457,
222152,222838,223492,224168,224845,225511,226177,226835,227512,228180,228843,
229534,230209,230895,231569,232241,232928,233577,234239,234916,235582,236252,
236900,237573,238233,238910,239555,240230,240853,241541,242208,242877,243539,
244216,244882,245554,246239,246909,247555,248209,248846,249482,250150,250801,
251464,252094,252757,253412,254080,254750,255390,256057,256726,257418,258088,
258774,259426,260064,260714,261376,262078,262716,263397,264052,264723,265410,
266068,266717,267384,268016,268671,269330,269987,270643,271325,271999,272645,
273322,273972,274618,275269,275930,276611,277262,277920,278595,279243,279921,
280564,281202,281870,282504,283146,283806,284464,285132,285809,286490,287133,
287786,288456,289109,289774,290437,291065,291717,292349,293010,293672,294343,
294994,295667,296314,296984,297628,298291,298919,299583,300243,300887,301543,
302175,302824,303486,304152,304793,305449,306084,306724,307377,308038,308700,
309335,309976,310655,311338,311994,312666,313321,313981,314627,315310,315948,
316601,317239,317885,318516,319164,319823,320496,321146,321786,322441,323103,
323759,324404,325055,325706,326322,326987,327653,328320,328964,329616,330269,
330912,331575,332219,332861,333516,334144,334801,335439,336096,336751,337382,
338060,338694,339339,340008,340644,341313,341992,342643,343277,343930,344585,
345235,345875,346558,347219,347872,348513,349152,349791,350449,351087,351715,
352383,353022,353670,354325,354971,355603,356244,356899,357559,358198,358842,
359487,360118,360759,361407,362066,362715,363365,364012,364685,365315,365964,
366617,367246,367900,368554,369191,369834,370483,371131,371773,372415,373068,
373722,374362,374992,375632,376289,376939,377574,378233,378874,379497,380148,
380800,381438,382061,382694,383361,383979,384613,385268,385904,386545,387202,
387835,388473,389111,389754,390378,391019,391654,392292,392927,393606,394241,
394908,395540,396172,396826,397462,398079,398716,399353,399993,400647,401279,
401906,402547,403204,403831,404466,405107,405784,406429,407077,407744,408393,
409039,409672,410311,410944,411580,412224,412849,413510,414148,414812,415413,
416040,416706,417321,417974,418602,419246,419898,420539,421175,421812,422449,
423094,423752,424379,424998,425648,426292,426894,427547,428179,428816,429466,
430113,430749,431413,432073,432719,433353,434002,434635,435265,435902,436528,
437137,437765,438410,439040,439683,440318,440929,441562,442221,442853,443481,
444118,444757,445399,446039,446685,447314,447955,448595,449229,449868,450527,
451159,451800,452462,453077,453697,454337,454950,455598,456228,456846,457497,
458152,458786,459432,460066,460707,461368,461987,462619,463239,463872,464504,
465157,465791,466422,467055,467718,468378,469001,469652,470283,470920,471561,
472176,472828,473470,474101,474749,475381,476011,476648,477277,477907,478560,
479208,479864,480492,481086,481746,482386,483015,483678,484286,484897,485514,
486167,486807,487436,488051,488681,489319,489951,490581,491216,491841,492494,
493109,493756,494398,495034,495666,496294,496924,497560,498176,498797,499439,
500082,500717,501343,501962,502582,503223,503856,504491,505147,505762,506372,
507019,507650,508261,508887,509513,510126,510764,511417,512062,512677,513284,
513921,514565,515222,515838,516487,517098,517740,518372,518998,519628,520267,
520910,521522,522167,522797,523403,524026,524652,525264,525911,526522,527154,
527791,528423,529046,529688,530334,530964,531592,532239,532880,533506,534136,
534752,535385,536013,536652,537256,537890,538528,539162,539777,540414,541023,
541654,542259,542898,543549,544176,544799,545417,546024,546643,547276,547927,
548528,549150,549798,550429,551053,551701,552319,552957,553587,554210,554848,
555479,556097,556716,557344,557976,558597,559228,559874,560491,561109,561766,
562392,563000,563623,564258,564877,565494,566136,566746,567365,567967,568606,
569218,569852,570491,571119,571759,572390,573028,573653,574274,574917,575537,
576191,576815,577439,578081,578707,579329,579964,580566,581216,581845,582436,
583086,583714,584337,584984,585613,586237,586850,587486,588139,588739,589397,
590006,590626,591236,591879,592485,593112,593719,594333,594973,595588,596222,
596829,597475,598114,598741,599355,599970,600583,601203,601855,602489,603072,
603688,604301,604919,605556,606160,606790,607402,608058,608672,609299,609906,
610515,611160,611788,612395,613025,613663,614290,614917,615525,616162,616807,
617434,618057,618692,619303,619929,620542,621177,621798,622416,623036,623664,
624298,624926,625553,626159,626788,627400,628010,628643,629249,629858,630495,
631091,631722,632341,632966,633578,634216,634827,635441,636072,636697,637333,
637939,638572,639231,639851,640461,641085,641712,642321,642962,643576,644218,
644835,645451,646054,646676,647275,647920,648548,649175,649793,650392,651005,
651624,652265,652890,653519,654142,654751,655355,655972,656592,657202,657821,
658445,659055,659669,660285,660916,661520,662138,662760,663368,663965,664579,
665193,665821,666451,667082,667709,668334,668949,669574,670202,670820,671437,
672051,672677,673290,673927,674545,675153,675772,676367,676970,677586,678188,
678837,679461,680063,680693,681340,681956,682560,683178,683789,684412,685033,
685661,686262,686883,687513,688113,688742,689382,689992,690632,691251,691874,
692486,693107,693746,694359,694986,695609,696239,696848,697445,698064,698703,
699315,699947,700560,701176,701795,702397,703002,703642,704251,704895,705502,
706118,706764,707400,708007,708643,709277,709883,710491,711108,711720,712310,
712934,713526,714154,714773,715387,715991,716629,717257,717874,718500,719093,
719710,720341,720958,721566,722204,722821,723457,724056,724683,725286,725901,
726517,727123,727718,728341,728960,729577,730217,730838,731466,732074,732707,
733328,733954,734521,735139,735767,736376,737012,737645,738257,738873,739487,
740096,740698,741317,741941,742550,743163,743755,744379,745001,745602,746223,
746860,747457,748066,748686,749291,749900,750504,751131,751744,752364,752980,
753575,754189,754833,755443,756072,756668,757288,757893,758496,759125,759759,
760391,761001,761617,762237,762847,763455,764097,764744,765371,765944,766554,
767188,767797,768392,769012,769639,770243,770862,771459,772079,772706,773314,
773917,774513,775164,775773,776400,777009,777625,778224,778818,779439,780065,
780687,781290,781906,782514,783134,783779,784362,784991,785630,786238,786831,
787458,788060,788657,789297,789888,790495,791111,791737,792343,792964,793569,
794149,794772,795397,796001,796622,797261,797853,798453,799060,799678,800285,
800895,801521,802146,802754,803358,803973,804582,805194,805804,806435,807054,
807690,808286,808880,809487,810118,810777,811378,811979,812601,813217,813846,
814456,815051,815674,816287,816883,817513,818121,818703,819303,819929,820550,
821134,821750,822358,822963,823571,824190,824801,825432,826046,826656,827272,
827884,828476,829081,829704,830312,830940,831525,832175,832779,833413,834026,
834640,835262,835882,836482,837099,837689,838303,838933,839550,840169,840767,
841394,841990,842588,843192,843785,844402,844997,845600,846205,846817,847420,
848020,848612,849252,849873,850489,851085,851688,852291,852885,853474,854095,
854688,855281,855902,856487,857116,857732,858338,858946,859536,860161,860779,
861401,862009,862612,863238,863833,864446,865039,865643,866274,866878,867482,
868100,868727,869308,869925,870532,871142,871770,872383,872983,873606,874194,
874795,875394,876022,876616,877214,877808,878418,879022,879640,880237,880847,
881449,882067,882652,883260,883873,884485,885117,885698,886337,886955,887553,
888161,888762,889394,890025,890637,891247,891833,892450,893070,893662,894257,
894877,895483,896097,896688,897332,897938,898541,899158,899749,900347,900996,
901592,902209,902821,903439,904057,904678,905296,905892,906488,907101,907693,
908283,908879,909463,910077,910686,911282,911894,912500,913098,913694,914298,
914920,915540,916147,916764,917384,917995,918610,919203,919806,920411,921015,
921604,922193,922801,923416,923997,924630,925237,925845,926456,927080,927705,
928293,928909,929518,930113,930730,931330,931983,932586,933194,933822,934441,
935033,935643,936235,936836,937446,938046,938648,939273,939863,940455,941059,
941658,942273,942877,943484,944093,944701,945325,945931,946551,947142,947736,
948328,948934,949506,950112,950738,951349,951964,952566,953163,953792,954392,
954999,955599,956213,956828,957450,958057,958651,959267,959865,960471,961083,
961694,962294,962902,963495,964085,964695,965281,965879,966482,967091,967720,
968318,968896,969493,970092,970704,971312,971908,972525,973131,973739,974352,
974950,975544,976154,976761,977351,977951,978555,979170,979764,980364,980997,
981594,982184,982776,983375,983980,984572,985194,985807,986418,987034,987648,
988257,988851,989450,990074,990663,991259,991880,992489,993068,993660,994261,
994839,995433,996042,996637,997233,997817,998433,999037,999656,1000257,1000862,
1001484,1002100,1002714,1003320,1003926,1004547,1005154,1005750,1006372,1006966,
1007577,1008180,1008787,1009392,1009985,1010590,1011217,1011806,1012415,1013012,
1013611,1014231,1014816,1015435,1016026,1016618,1017220,1017827,1018424,1019012,
1019615,1020208,1020829,1021433,1022057,1022677,1023297,1023904,1024512,1025092,
1025698,1026288,1026909,1027516,1028089,1028699,1029310,1029914,1030523,1031130,
1031709,1032317,1032924,1033519,1034115,1034690,1035314,1035938,1036529,1037119,
1037706,1038320,1038918,1039524,1040144,1040719,1041316,1041899,1042507,1043113,
1043730,1044353,1044937,1045562,1046152,1046760,1047388,1047969,1048571,1049172,
1049791,1050374,1050952,1051534,1052140,1052740,1053330,1053939,1054535,1055139,
1055738,1056339,1056969,1057582,1058173,1058744,1059358,1059971,1060582,1061198,
1061807,1062388,1062979,1063577,1064162,1064748,1065360,1065942,1066566,1067185,
1067799,1068408,1068983,1069590,1070198,1070819,1071402,1072009,1072619,1073198,
1073799,1074401,1075016,1075629,1076221,1076836,1077428,1078041,1078637,1079266,
1079854,1080480,1081061,1081670,1082255,1082850,1083450,1084048,1084636,1085243,
1085855,1086459,1087052,1087648,1088266,1088914,1089495,1090126,1090705,1091314,
1091939,1092535,1093149,1093746,1094330,1094932,1095542,1096152,1096737,1097360,
1097945,1098551,1099141,1099733,1100328,1100922,1101499,1102092,1102669,1103258,
1103857,1104451,1105067,1105682,1106267,1106870,1107451,1108057,1108660,1109288,
1109886,1110512,1111141,1111739,1112328,1112926,1113503,1114115,1114717,1115323,
1115947,1116556,1117141,1117750,1118354,1118940,1119538,1120173,1120775,1121389,
1122007,1122586,1123184,1123779,1124405,1124994,1125605,1126210,1126817,1127407,
1127989,1128579,1129192,1129814,1130388,1130974,1131556,1132150,1132758,1133364,
1133969,1134550,1135157,1135751,1136320,1136919,1137504,1138124,1138742,1139344,
1139957,1140534,1141118,1141715,1142298,1142893,1143516,1144117,1144698,1145305,
1145894,1146489,1147091,1147705,1148316,1148944,1149560,1150167,1150767,1151367,
1151946,1152546,1153132,1153733,1154307,1154924,1155494,1156089,1156649,1157275,
1157887,1158471,1159067,1159667,1160273,1160856,1161434,1162057,1162611,1163205,
1163793,1164412,1165006,1165654,1166251,1166847,1167470,1168070,1168668,1169267,
1169880,1170484,1171102,1171684,1172264,1172836,1173435,1174027,1174619,1175214,
1175826,1176445,1177006,1177621,1178218,1178809,1179400,1179976,1180566,1181158,
1181751,1182342,1182933,1183531,1184128,1184738,1185329,1185924,1186549,1187148,
1187743,1188339,1188955,1189557,1190171,1190777,1191376,1191967,1192525,1193122,
1193721,1194319,1194920,1195540,1196133,1196728,1197329,1197935,1198528,1199102,
1199699,1200287,1200894,1201503,1202080,1202693,1203309,1203893,1204472,1205065,
1205634,1206236,1206850,1207468,1208078,1208659,1209248,1209837,1210457,1211050,
1211632,1212237,1212813,1213419,1214027,1214621,1215187,1215801,1216405,1216988,
1217556,1218165,1218756,1219368,1219966,1220569,1221154,1221735,1222345,1222953,
1223514,1224118,1224717,1225286,1225900,1226514,1227094,1227691,1228275,1228861,
1229483,1230081,1230696,1231283,1231859,1232483,1233072,1233665,1234301,1234873,
1235492,1236097,1236688,1237295,1237894,1238508,1239072,1239676,1240253,1240833,
1241437,1242034,1242612,1243207,1243787,1244365,1244964,1245525,1246109,1246718,
1247337,1247937,1248536,1249122,1249710,1250291,1250895,1251485,1252077,1252693,
1253302,1253888,1254464,1255064,1255682,1256274,1256881,1257467,1258070,1258685,
1259285,1259872,1260474,1261045,1261660,1262264,1262844,1263445,1264052,1264617,
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1356600,1357239,1357835,1358437,1359041,1359631,1360182,1360764,1361348,1361943,1362538,1363134,1363709,1364315,1364909,
1365511,1366120,1366694,1367296,1367873,1368447,1369049,1369636,1370245,1370835,1371432,1372041,1372625,1373215,1373816,1374421,1374995,1375599,1376204,1376796,1377385,1377960,1378546,1379151,1379750,1380343,1380938,
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1407470,1408081,1408680,1409256,1409821,1410405,1410993,1411586,1412164,1412758,1413351,1413943,1414521,1415107,1415679,1416273,1416873,1417460,1418055,1418640,1419224,1419821,1420422,1421034,1421620,1422222,1422821,1423407,1424017,1424606,1425190,1425780,1426394,1426966,1427535,1428117,1428717,1429327,1429910,1430531,1431127,1431709,1432293,1432899,1433481,1434078,1434651,1435248,1435836,1436398,1436988,1437566,1438149,1438741,1439367,1439956,1440549,1441138,1441739,1442335,1442918,1443531,1444115,1444690,1445279,1445870,1446460,1447040,1447622,1448221,1448844,1449444,1450040,1450624,1451219,1451812,1452386,1452997,1453566,1454144,1454734,1455321,1455890,1456497,1457067,1457683,1458308,1458877,1459440,1460019,1460592,1461194,1461772,1462368,1462950,1463545,1464148,1464759,1465350,1465935,1466549,1467144,1467727,1468299,1468883,1469512,1470103,1470692,1471243,1471822,1472403,1472987,1473560,1474161,1474757,1475358,1475967,
1476558,1477140,1477731,1478306,1478879,1479481,1480073,1480683,1481258,1481842,1482438,1482993,1483609,1484183,1484779,1485379,1485957,1486531,1487144,1487742,1488337,1488916,1489509,1490082,1490648,1491241,1491818,1492408,1493000,1493590,1494191,1494770,
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1561226,1561825,1562405,1562976,1563578,1564178,1564794,1565356,1565927,1566540,1567137,1567707,1568270,1568845,1569452,
1570043,1570631,1571234,1571812,1572419,1573037,1573610,1574185,1574749,1575299,1575899,1576487,1577080,1577649,1578222,1578797,1579367,1579939,1580509,1581095,1581682,1582296,1582861,1583439,1584045,1584636,1585223,1585812,1586387,1586955,1587524,1588130,1588716,1589324,1589905,1590480,1591035,1591622,1592219,1592822,1593439,1594034,1594596,1595177,1595743,1596314,1596926,1597520,1598118,1598697,1599262,1599875,1600474,1601049,1601616,1602199,1602783,1603401,
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1681310,1681887,1682457,1683065,1683658,1684230,1684823,1685381,1685964,1686550,1687139,1687748,1688345,1688960,1689521,1690098,1690680,1691279,1691876,1692467,
1693029,1693633,1694198,1694762,1695338,1695926,1696518,1697102,1697663,1698248,1698825,1699387,1699987,1700558,1701140,1701715,1702298,1702893,1703469,1704067,1704631,1705210,1705789,1706405,1706968,1707563,1708158,1708748,1709342,1709906,1710498,1711069,1711641,1712204,1712802,1713401,
1713986,1714571,1715158,1715740,1716331,1716912,1717526,1718134,1718730,1719285,1719868,1720458,1721034,1721620,
1722193,1722768,1723328,1723913,1724504,1725073,1725663,1726314,
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1826362,1826944,1827530,1828126,1828703,1829270,1829855,1830451,1831050,1831616,1832194,
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