万万电子素数表
1~10000质数表
1 到100 的质数:123 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97101 到200 的质数:101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 201 到300 的质数:211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293301 到400 的质数:307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397401 到500 的质数:401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499501 到600 的质数:503 509 521 523 541 547 557 563 569 571 577 587 593 599601 到700 的质数:601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691701 到800 的质数:701 709 719 727 733 739 743 751 757 761 769 773 787 797801 到900 的质数:809 811 821 823 827 829 839 853 857 859 863 877 881 883 887901 到1000的质数:907 911 919 929 937 941 947 953 967 971 977 983 991 9971001 到1100的质数:1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069 1087 1091 1093 1097 1101 到1200的质数:1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 11931201 到1300的质数:1201 1213 1217 1223 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 12971301 到1400的质数:1301 1303 1307 1319 1321 1327 1361 1367 1373 1381 13991401 到1500的质数:1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1501 到1600的质数:1511 1523 1531 1543 1549 1553 1559 1567 1571 1579 1583 15971601 到1700的质数:1601 1607 1609 1613 1619 1621 1627 1637 1657 1663 1667 1669 1693 1697 16991701 到1800的质数:1709 1721 1723 1733 1741 1747 1753 1759 1777 1783 1787 17891801 到1900的质数:1801 1811 1823 1831 1847 1861 1867 1871 1873 1877 1879 18891901 到2000的质数:1901 1907 1913 1931 1933 1949 1951 1973 1979 1987 1993 1997 19992001 到2100的质数:2003 2011 2017 2027 2029 2039 2053 2063 2069 2081 2083 2087 2089 20992101 到2200的质数:2111 2113 2129 2131 2137 2141 2143 2153 2161 21792201 到2300的质数:2203 2207 2213 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287 2293 22972301 到2400的质数:2309 2311 2333 2339 2341 2347 2351 2357 2371 2377 2381 2383 2389 2393 23992401 到2500的质数:2411 2417 2423 2437 2441 2447 2459 2467 2473 24772501 到2600的质数:2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 25932601 到2700的质数:2609 2617 2621 2633 2647 2657 2659 2663 2671 2677 2683 2687 2689 2693 26992701 到2800的质数:2707 2711 2713 2719 2729 2731 2741 2749 2753 2767 2777 2789 2791 27972801 到2900的质数:2801 2803 2819 2833 2837 2843 2851 2857 2861 2879 2887 28972901 到3000的质数:2903 2909 2917 2927 2939 2953 2957 2963 2969 2971 29993001 到3100的质数:3001 3011 3019 3023 3037 3041 3049 3061 3067 3079 3083 30893101 到3200的质数:3109 3119 3121 3137 3163 3167 3169 3181 3187 31913201 到3300的质数:3203 3209 3217 3221 3229 3251 3253 3257 3259 3271 32993301 到3400的质数:3301 3307 3313 3319 3323 3329 3331 3343 3347 3359 3361 3371 3373 3389 33913401 到3500的质数:3407 3413 3433 3449 3457 3461 3463 3467 3469 3491 34993501 到3600的质数:3511 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571 3581 3583 35933601 到3700的质数:3607 3613 3617 3623 3631 3637 3643 3659 3671 3673 3677 3691 36973701 到3800的质数:3701 3709 3719 3727 3733 3739 3761 3767 3769 3779 3793 37973801 到3900的质数:3803 3821 3823 3833 3847 3851 3853 3863 3877 3881 38893901 到4000的质数:3907 3911 3917 3919 3923 3929 3931 3943 3947 3967 39894001 到4100的质数:4001 4003 4007 4013 4019 4021 4027 4049 4051 4057 4073 4079 4091 4093 40994101 到4200的质数:4111 4127 4129 4133 4139 4153 4157 4159 41774201 到4300的质数:4201 4211 4217 4219 4229 4231 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297 4301 到4400的质数:4327 4337 4339 4349 4357 4363 4373 4391 43974401 到4500的质数:4409 4421 4423 4441 4447 4451 4457 4463 4481 4483 44934501 到4600的质数:4507 4513 4517 4519 4523 4547 4549 4561 4567 4583 4591 45974601 到4700的质数:4603 4621 4637 4639 4643 4649 4651 4657 4663 4673 4679 46914701 到4800的质数:4703 4721 4723 4729 4733 4751 4759 4783 4787 4789 4793 47994801 到4900的质数:4801 4813 4817 4831 4861 4871 4877 48894901 到5000的质数:4903 4909 4919 4931 4933 4937 4943 4951 4957 4967 4969 4973 4987 4993 49995001 到5100的质数:5003 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087 50995101 到5200的质数:5101 5107 5113 5119 5147 5153 5167 5171 5179 5189 51975201 到5300的质数:5209 5227 5231 5233 5237 5261 5273 5279 5281 52975301 到5400的质数:5303 5309 5323 5333 5347 5351 5381 5387 5393 53995401 到5500的质数:5407 5413 5417 5419 5431 5437 5441 5443 5449 5471 5477 5479 54835501 到5600的质数:5501 5503 5507 5519 5521 5527 5531 5557 5563 5569 5573 5581 55915601 到5700的质数:5623 5639 5641 5647 5651 5653 5657 5659 5669 5683 5689 56935701 到5800的质数:5701 5711 5717 5737 5741 5743 5749 5779 5783 57915801 到5900的质数:5801 5807 5813 5821 5827 5839 5843 5849 5851 5857 5861 5867 5869 5879 5881 5897 5901 到6000的质数:5903 5923 5927 5939 5953 5981 59876001 到6100的质数:6007 6011 6029 6037 6043 6047 6053 6067 6073 6079 6089 60916101 到6200的质数:6101 6113 6121 6131 6133 6143 6151 6163 6173 6197 61996201 到6300的质数:6203 6211 6217 6221 6229 6247 6257 6263 6269 6271 6277 6287 62996301 到6400的质数:6301 6311 6317 6323 6329 6337 6343 6353 6359 6361 6367 6373 6379 6389 6397 6401 到6500的质数:6421 6427 6449 6451 6469 6473 6481 64916501 到6600的质数:6521 6529 6547 6551 6553 6563 6569 6571 6577 6581 65996601 到6700的质数:6607 6619 6637 6653 6659 6661 6673 6679 6689 66916701 到6800的质数:6701 6703 6709 6719 6733 6737 6761 6763 6779 6781 6791 67936801 到6900的质数:6803 6823 6827 6829 6833 6841 6857 6863 6869 6871 6883 68996901 到7000的质数:6907 6911 6917 6947 6949 6959 6961 6967 6971 6977 6983 6991 69977001 到7100的质数:7001 7013 7019 7027 7039 7043 7057 7069 70797101 到7200的质数:7103 7109 7121 7127 7129 7151 7159 7177 7187 71937201 到7300的质数:7207 7211 7213 7219 7229 7237 7243 7247 7253 7283 72977301 到7400的质数:7307 7309 7321 7331 7333 7349 7351 7369 73937401 到7500的质数:7411 7417 7433 7451 7457 7459 7477 7481 7487 7489 74997501 到7600的质数:7507 7517 7523 7529 7537 7541 7547 7549 7559 7561 7573 7577 7583 7589 7591 7601 到7700的质数:7603 7607 7621 7639 7643 7649 7669 7673 7681 7687 7691 76997701 到7800的质数:7703 7717 7723 7727 7741 7753 7757 7759 7789 77937801 到7900的质数:7817 7823 7829 7841 7853 7867 7873 7877 7879 78837901 到8000的质数:7901 7907 7919 7927 7933 7937 7949 7951 7963 79938001 到8100的质数:8009 8011 8017 8039 8053 8059 8069 8081 8087 8089 80938101 到8200的质数:8101 8111 8117 8123 8147 8161 8167 8171 8179 81918201 到8300的质数:8209 8219 8221 8231 8233 8237 8243 8263 8269 8273 8287 8291 8293 82978301 到8400的质数:8311 8317 8329 8353 8363 8369 8377 8387 83898401 到8500的质数:8419 8423 8429 8431 8443 8447 8461 84678501 到8600的质数:8501 8513 8521 8527 8537 8539 8543 8563 8573 8581 8597 85998601 到8700的质数:8609 8623 8627 8629 8641 8647 8663 8669 8677 8681 8689 8693 86998701 到8800的质数:8707 8713 8719 8731 8737 8741 8747 8753 8761 8779 87838801 到8900的质数:8803 8807 8819 8821 8831 8837 8839 8849 8861 8863 8867 8887 88938901 到9000的质数:8923 8929 8933 8941 8951 8963 8969 8971 89999001 到9100的质数:9001 9007 9011 9013 9029 9041 9043 9049 9059 9067 90919101 到9200的质数:9103 9109 9127 9133 9137 9151 9157 9161 9173 9181 9187 91999201 到9300的质数:9203 9209 9221 9227 9239 9241 9257 9277 9281 9283 92939301 到9400的质数:9311 9319 9323 9337 9341 9343 9349 9371 9377 9391 93979401 到9500的质数:9403 9413 9419 9421 9431 9433 9437 9439 9461 9463 9467 9473 9479 9491 9497 9501 到9600的质数:9511 9521 9533 9539 9547 9551 95879601 到9700的质数:9601 9613 9619 9623 9629 9631 9643 9649 9661 9677 9679 9689 96979701 到9800的质数:9719 9721 9733 9739 9743 9749 9767 9769 9781 9787 97919801 到9900的质数:9803 9811 9817 9829 9833 9839 9851 9857 9859 9871 9883 98879901 到10000的质数:9901 9907 9923 9929 9931 9941 9949 9967 9973。
10000以内的质数表
10000以内的质数表
（原创版）
目录
1.质数的定义与重要性
2.10000 以内的质数表
3.质数在数学领域的应用
正文
1.质数的定义与重要性
质数，又称为素数，是指在大于 1 的自然数中，除了 1 和它本身以外不再有其他因数的数。
质数在数学领域具有极高的重要性，它不仅是数论研究的基础，还广泛应用于密码学、计算机科学和其他领域。
2.10000 以内的质数表
根据质数的定义，我们可以列出 10000 以内的质数表。
这些质数不
仅对于学术研究具有价值，还可以作为编程练习和数学爱好者的参考资料。
第1页共1页。
1—10000000以内的质数表
1—10000000以内的质数表从数学上讲，质数是大于1的自然数中只能被1和它本身整除的数。
质数在数学中拥有重要的地位，因为它们可以表达任何大于1的整数。
举个例子，把30表示成2 x 3 x 5，其中2，3和5都是质数。
因此，10000-1000000之间的质数可以是该范围内整数的分解因素和最小素因子。
100000000以内的质数可由下列一系列数字构成：2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67，71，73，79，83，89，97，101，103，107，109，113，127，131，137，139，149，151，157，163，167，173，179，181，191，193，197，199，211，223，227，229，233，239，241，251，257，263，269，271，277，281，283，293，307，311，313，317，331，337，347，349，353，359，367，373，379，383，389，397，401，409，419，421，431，433，439，443，449，457，461，463，467，479，487，491，499，503，509，521，523，541，547，557，563，569，571，577，587，593，599，601，607，613，617，619，631，641，643，647，653，659，661，673，677，683，691，701，709，719，727，733，739，743，751，757，761，769，773，787，797，809，811，821，823，827，829，839，853，857，859，863，877，881，883，887，907，911，919，929，937，941，947，953，967，971，977，983，991，997。
素数表(二)(100万-300万内)
素数表(二)（100万—300万）孟庆馀编辑整理二〇一一年三月前言“素数表”是数论研究中的重要工具之一。
但是，目前笔者所见过的"素数表"都只列出素数，很难一下查出该素数是第几个素数。
为了方便查找素数，笔者根据目前所掌握的资料，采用座标形式编辑整理出“素数表”(二)（1000001—3000000）。
横坐标为个位数，纵坐标为十位以上的数。
使用此表可以查知三项数值：①查找任意一个素数（在此表范围内）,是第几个素数。
例如查找素数29989，该数所在纵坐标是324，横坐标是5，从纵、横坐标可以知道29989是第3245个素数。
②查找第某某个素数是个什么数。
如查找第五万个素数是什么数，在表中查出纵坐标5000与横坐标0交汇处的数（611953），就是第五万个素数。
③查找任意一个自然数内（在此表范围内），共有多少个素数。
例如99999之前共有多少个素数，从表中可以查到共有9592个素数。
从以上三点可以看出，采用座标形式编辑整理的“素数表”给使用者带来很大的方便和快捷。
在编辑整理中，由于采用座标形式致使篇幅增大，只好陆续分卷编辑整理，而每卷都会在100页以上。
现将编辑整理好的“素数表”(二)（100万—300万），发表给有兴趣的读者查阅，因为工作量大、时间短，此表难免有错误的地方，如有发现，敬请读者指正。
孟庆馀2011年3月20日素数个数统计数值素数个数数值素数个数100以内251000000以内784981000以内1681500000以内11397710000以内12292000000以内148933100000以内784982500000以内183072500000以内415383000000以内216816第2页78491000003 78501000033100003710000391000081100009910001171000121100013310001511000159 78511000171100018310001871000193100019910002111000213100023110002491000253 78521000273100028910002911000303100031310003331000357100036710003811000393 78531000397100040310004091000423100042710004291000453100045710005071000537 78541000541100054710005771000579100058910006091000619100062110006391000651 78551000667100066910006791000691100069710007211000723100076310007771000793 78561000829100084710008491000859100086110008891000907100091910009211000931 78571000969100097310009811000999100100310010171001023100102710010411001069 78581001081100108710010891001093100110710011231001153100115910011731001177 78591001191100119710012191001237100126710012791001291100130310013111001321 78601001323100132710013471001353100136910013811001387100138910014011001411 78611001431100144710014591001467100149110015011001527100153110015491001551 78621001563100156910015871001593100162110016291001639100165910016691001683 78631001687100171310017231001743100178310017971001801100180710018091001821 78641001831100183910019111001933100194110019471001953100197710019811001983 78651001989100201710020491002061100207310020771002083100209110021011002109 78661002121100214310021491002151100217310021911002227100224110022471002257 78671002259100226310022891002299100234110023431002347100234910023591002361 78681002377100240310024271002433100245110024571002467100248110024871002493 78691002503100251110025171002523100252710025531002569100257710025831002619 78701002623100264710026531002679100270910027131002719100272110027391002751 78711002767100276910027731002787100279710028091002817100282110028511002853 78721002857100286310028711002887100289310028991002913100291710029291002931 78731002973100297910030011003003100301910030391003049100308710030911003097 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81991048007104800910480131048027104804310480491048051104806310481231048127 82001048129104813910481891048193104821310482171048219104826110482731048291 82011048309104834310483571048361104836710483871048391104842310484331048447 82021048507104851710485491048559104857110485731048583104858910486011048609 82031048613104862710486331048661104868110487031048709104871710487211048759 82041048783104879310487991048807104882910488371048847104886710488771048889 82051048891104889710489091048919104896310489911049011104902310490391049051 82061049057104906310490771049089104909310491011049117104912910491311049137 82071049141104914310491711049173104917710491831049201104921910492271049239 82081049263104928110492971049333104933910493871049413104942910494371049459 82091049471104947310494791049483104949710495091049519104952710495331049537 82101049549104956910495991049603104961110496231049639104966310496771049681 82111049683104968710497071049717104974710497731049791104980910498211049827 82121049833104983710498431049849104985710498611049863104989110498971049899 82131049941104995310499631049977104999910500111050013105003110500411050053 82141050079105008310501391050151105016710501691050191105019710502291050233 82151050239105024110502531050281105030710503171050323105033110503371050349 82161050367105039110504211050431105043710504491050451105045710504731050503 82171050509105052310505631050593105061110506311050713105072710507331050737 82181050739105074310507691050773105078110508111050817105085110508531050887 82191050899105090110509131050949105096110509771050997105100310510071051009 82201051019105102710510511051069105107910510811051139105114710511511051153 82211051157105117710511811051247105127710512831051291105130110513131051319 82221051333105137310513971051409105141710514231051459105146910514711051481 82231051499105150710515431051549105155310515591051571105159110516011051607 82241051619105162110516391051643105164910516631051697105170910517171051747 82251051759105176310517811051789105181110518191051829105184710518491051879 82261051889105190310519131051927105194910519571051961105197910519871051991 82271052027105203910520411052063105208310520991052111105211910521371052141 82281052179105219710522031052221105223110522371052269105227910522811052287 82291052299105230910523211052327105232910523331052413105241710524311052437 82301052459105247310524791052489105253110525331052537105255110525611052563 82311052567105257310526091052629105266310526931052707105271910527311052743 82321052747105276710527971052801105280310528131052819105285110528731052881。
1～100以内的质数表
1～100以内的质数表
1到100之间的质数有: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
质数又称素数，是指在大于1的自然数中，除了1和该数自身外，无法被其他自然数整除的数（也可定义为只有1与该数本身两个正因数的数）。
大于1的自然数若不是素数，则称之为合数。
例如，2、3、5、7、11、13、17、19、23、29等等都是质数。
而4、6、8、9、10等等则不是质数。
质数的分布规律是以36N（N+1）为单位，随着N的增大，素数的个数以波浪形式渐渐增多，孪生质数也有相同的分布规律。
质数的性质非常多，其中比较重要的性质包括：
1. 素数只能被1和它本身整除，不能被其他数整除。
2. 素数的定义是大于1的自然数中，除了1和它本身以外不再有其他因数的数称为素数。
3. 在所有的自然数中，除了1之外，素数只有两个正因数，一个是它本身，另一个是它的平方。
4. 在所有大于2的偶数中，除了2之外，所有的素数都是奇数。
5. 在所有大于5的奇数中，除了5之外，所有的素数都是偶数。
6. 两个相差4的素数的乘积一定是一个偶数。
7. 如果一个大于2的偶数不是素数，那么它的约数一定多于2个。
8. 如果一个大于5的奇数不是素数，那么它的约数一定多于3个。
9. 如果一个数是4的倍数但不是2的倍数，那么这个数一定不是素数。
10. 如果一个数是偶数但不是4的倍数，那么这个数一定不是素数。
总之，质数是数学中的一个重要概念，具有许多独特的性质和规律。
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万万电子素数表
郭凤鸣
(中国地质大学.武汉，430074)
摘要本程序可以生成万万（一亿）以内的素数，为用户提供五种选择素数的范围：1万、十万、百万、千万、万万。
关键词素数，素数表，程序，Foxpro
在很多研究工作中，往往需要大量的素数，这里提供一种万万电子素数表，即一亿以内的素数表，是一个简单的Foxpro]1[程序，而非表格。
有了它，你不需要把大量的数据保存
在纸上或者存储在磁盘上。
在需要的时候，只要运行本程序，你可以很方便地选择计算1万以内的素数，也可以计算10万，100万，1000万，万万(1亿)以内的素数。
按照程序设计思路对程序略加修改，可以计算10亿、100亿、1000亿…以致更大范围的素数。
算法描述
素数表使用的计算方法是幼拉脱斯展纳(Eratosthenes)筛法]2[，由古希腊时代幼拉脱斯展
纳发明而得名。
算法的基本思想是：要计算不超过N的一切素数，只需要从1,2,3，…，N中把不超过N 的素数的倍数划去就行了。
例如N=30，30< 6，小于6的素数是2,3,5。
求解N=30以内素数的方法如下：
1 2 3 4 5 67 8910
11 1213 14151617 1819 20
212223 242526272829 30
最后求得30以内的素数是未划线的部分：2，3，5，7，11，13，17，19，23，29。
程序简略流程——如图一
图一程序简略流程
程序清单
** 万万素数表计算程序
set defa to "c:\program files\microsoft visual studio\vfp98\sj\素数表"
set talk off
** 生成100以内的素数，存入库文件Sb00
create table sb00(shuju n )
append blank
replace shuju with 2
for i=2 to 50
append blank
replace shuju with 2*i-1
endfor
delete all for shuju%3=0 and shuju<>3
delete all for shuju%5=0 and shuju<>5
delete all for shuju%7=0 and shuju<>7
pack
go bottom
rn=recno()
** 将Sb00.dbf复制到数组X和库文件bb1备用，sb00空间继续使用
copy to array x for shuju>2
copy to bb1
** 生成10000以内的素数，存入库文件Sb00
n=10000
do js
copy to ssbyw && 将10000以内的素数表保存ssbyw.dbf中
do dy
do while .t.
clear
text
********************************
** 1.计算10万以内的素数 **
** 2.计算100万以内的素数 **
** 3.计算1000万以内的素数 **
** 4.计算1亿以内的素数 **
** 0.退出 **
********************************
endtext
@ 14,10 say "请选择您需要计算的素数1——4？" get xz default space(1) read
do case
case xz="1" && 计算10万以内的素数
n=100000
do js && 调用计算过程
copy to ssbsw && 将10万素数表复制保存
do dy && 调用打印过程
case xz="2" && 计算100万以内的素数
n=1000000
do js
copy to ssbbw
do dy
case xz="3" && 计算1000万以内的素数
n=10000000
do js
copy to ssbqw
do dy
case xz="4" && 计算1亿以内的素数
n=100000000
do js
copy to ssbbw
do dy
case xz="0"
clear
wait window at 20,20 " 停止计算，任意键退出！" cancel
endcase
enddo
procedure js && 计算过程
release x
copy to array x for shuju>2 and shuju<sqrt(n)
lx=alen(x)
zap
append blank
replace shuju with 2
for i=2 to n/2
append blank
replace shuju with 2*i-1
endfor
for i=1 to lx
delete all for shuju%x(i)=0 and shuju<>x(i)
pack
endfor
go bottom
rn=recno()
return
procedure dy && 打印过程 dy
nn=str(n/10000)
clear
? nn+"万以内的素数有"+str(rn)+"个"
wait " 已计算完成，打印吗(y/n)？" to yn
if upper(yn)="Y"
clear
go 1
for i=1 to rn
?? shuju
if i%10=0
?
endif
skip
endfor
clear
wait " "+ nn + " 万素数表打印完毕，按任意键继续！"
else
clear
endif
return
参考文献
[1]. 史济民汤观全编著.Visual Foxpro及其应用系统开发.北京：清华大学出版社，2000年4
月。
[2]. 闵嗣鹤严士健编.初等数论（第三版）.北京：高等教育出版社，2005年3月。