Een priemgetal is een getal dat:
Hoe weet je of een getal priemgetal is?
Als je wilt weten of een getal een priemgetal is, zul moeten proberen of je het kunt delen door een (lager) priemgetal. Je hoeft daarvoor minder pogingen te doen dan je misschien denkt, want je hoeft nooit verder te gaan dan de wortel van het getal. Een paar voorbeelden:
De priemgetallen onder de 10000 zijn:
2 | 547 | 1229 | 1993 | 2749 | 3581 | 4421 | 5281 | 6143 | 7001 | 7927 | 8837 | 9739 |
3 | 557 | 1231 | 1997 | 2753 | 3583 | 4423 | 5297 | 6151 | 7013 | 7933 | 8839 | 9743 |
5 | 563 | 1237 | 1999 | 2767 | 3593 | 4441 | 5303 | 6163 | 7019 | 7937 | 8849 | 9749 |
7 | 569 | 1249 | 2003 | 2777 | 3607 | 4447 | 5309 | 6173 | 7027 | 7949 | 8861 | 9767 |
11 | 571 | 1259 | 2011 | 2789 | 3613 | 4451 | 5323 | 6197 | 7039 | 7951 | 8863 | 9769 |
13 | 577 | 1277 | 2017 | 2791 | 3617 | 4457 | 5333 | 6199 | 7043 | 7963 | 8867 | 9781 |
17 | 587 | 1279 | 2027 | 2797 | 3623 | 4463 | 5347 | 6203 | 7057 | 7993 | 8887 | 9787 |
19 | 593 | 1283 | 2029 | 2801 | 3631 | 4481 | 5351 | 6211 | 7069 | 8009 | 8893 | 9791 |
23 | 599 | 1289 | 2039 | 2803 | 3637 | 4483 | 5381 | 6217 | 7079 | 8011 | 8923 | 9803 |
29 | 601 | 1291 | 2053 | 2819 | 3643 | 4493 | 5387 | 6221 | 7103 | 8017 | 8929 | 9811 |
31 | 607 | 1297 | 2063 | 2833 | 3659 | 4507 | 5393 | 6229 | 7109 | 8039 | 8933 | 9817 |
37 | 613 | 1301 | 2069 | 2837 | 3671 | 4513 | 5399 | 6247 | 7121 | 8053 | 8941 | 9829 |
41 | 617 | 1303 | 2081 | 2843 | 3673 | 4517 | 5407 | 6257 | 7127 | 8059 | 8951 | 9833 |
43 | 619 | 1307 | 2083 | 2851 | 3677 | 4519 | 5413 | 6263 | 7129 | 8069 | 8963 | 9839 |
47 | 631 | 1319 | 2087 | 2857 | 3691 | 4523 | 5417 | 6269 | 7151 | 8081 | 8969 | 9851 |
53 | 641 | 1321 | 2089 | 2861 | 3697 | 4547 | 5419 | 6271 | 7159 | 8087 | 8971 | 9857 |
59 | 643 | 1327 | 2099 | 2879 | 3701 | 4549 | 5431 | 6277 | 7177 | 8089 | 8999 | 9859 |
61 | 647 | 1361 | 2111 | 2887 | 3709 | 4561 | 5437 | 6287 | 7187 | 8093 | 9001 | 9871 |
67 | 653 | 1367 | 2113 | 2897 | 3719 | 4567 | 5441 | 6299 | 7193 | 8101 | 9007 | 9883 |
71 | 659 | 1373 | 2129 | 2903 | 3727 | 4583 | 5443 | 6301 | 7207 | 8111 | 9011 | 9887 |
73 | 661 | 1381 | 2131 | 2909 | 3733 | 4591 | 5449 | 6311 | 7211 | 8117 | 9013 | 9901 |
79 | 673 | 1399 | 2137 | 2917 | 3739 | 4597 | 5471 | 6317 | 7213 | 8123 | 9029 | 9907 |
83 | 677 | 1409 | 2141 | 2927 | 3761 | 4603 | 5477 | 6323 | 7219 | 8147 | 9041 | 9923 |
89 | 683 | 1423 | 2143 | 2939 | 3767 | 4621 | 5479 | 6329 | 7229 | 8161 | 9043 | 9929 |
97 | 691 | 1427 | 2153 | 2953 | 3769 | 4637 | 5483 | 6337 | 7237 | 8167 | 9049 | 9931 |
101 | 701 | 1429 | 2161 | 2957 | 3779 | 4639 | 5501 | 6343 | 7243 | 8171 | 9059 | 9941 |
103 | 709 | 1433 | 2179 | 2963 | 3793 | 4643 | 5503 | 6353 | 7247 | 8179 | 9067 | 9949 |
107 | 719 | 1439 | 2203 | 2969 | 3797 | 4649 | 5507 | 6359 | 7253 | 8191 | 9091 | 9967 |
109 | 727 | 1447 | 2207 | 2971 | 3803 | 4651 | 5519 | 6361 | 7283 | 8209 | 9103 | 9973 |
113 | 733 | 1451 | 2213 | 2999 | 3821 | 4657 | 5521 | 6367 | 7297 | 8219 | 9109 | |
127 | 739 | 1453 | 2221 | 3001 | 3823 | 4663 | 5527 | 6373 | 7307 | 8221 | 9127 | |
131 | 743 | 1459 | 2237 | 3011 | 3833 | 4673 | 5531 | 6379 | 7309 | 8231 | 9133 | |
137 | 751 | 1471 | 2239 | 3019 | 3847 | 4679 | 5557 | 6389 | 7321 | 8233 | 9137 | |
139 | 757 | 1481 | 2243 | 3023 | 3851 | 4691 | 5563 | 6397 | 7331 | 8237 | 9151 | |
149 | 761 | 1483 | 2251 | 3037 | 3853 | 4703 | 5569 | 6421 | 7333 | 8243 | 9157 | |
151 | 769 | 1487 | 2267 | 3041 | 3863 | 4721 | 5573 | 6427 | 7349 | 8263 | 9161 | |
157 | 773 | 1489 | 2269 | 3049 | 3877 | 4723 | 5581 | 6449 | 7351 | 8269 | 9173 | |
163 | 787 | 1493 | 2273 | 3061 | 3881 | 4729 | 5591 | 6451 | 7369 | 8273 | 9181 | |
167 | 797 | 1499 | 2281 | 3067 | 3889 | 4733 | 5623 | 6469 | 7393 | 8287 | 9187 | |
173 | 809 | 1511 | 2287 | 3079 | 3907 | 4751 | 5639 | 6473 | 7411 | 8291 | 9199 | |
179 | 811 | 1523 | 2293 | 3083 | 3911 | 4759 | 5641 | 6481 | 7417 | 8293 | 9203 | |
181 | 821 | 1531 | 2297 | 3089 | 3917 | 4783 | 5647 | 6491 | 7433 | 8297 | 9209 | |
191 | 823 | 1543 | 2309 | 3109 | 3919 | 4787 | 5651 | 6521 | 7451 | 8311 | 9221 | |
193 | 827 | 1549 | 2311 | 3119 | 3923 | 4789 | 5653 | 6529 | 7457 | 8317 | 9227 | |
197 | 829 | 1553 | 2333 | 3121 | 3929 | 4793 | 5657 | 6547 | 7459 | 8329 | 9239 | |
199 | 839 | 1559 | 2339 | 3137 | 3931 | 4799 | 5659 | 6551 | 7477 | 8353 | 9241 | |
211 | 853 | 1567 | 2341 | 3163 | 3943 | 4801 | 5669 | 6553 | 7481 | 8363 | 9257 | |
223 | 857 | 1571 | 2347 | 3167 | 3947 | 4813 | 5683 | 6563 | 7487 | 8369 | 9277 | |
227 | 859 | 1579 | 2351 | 3169 | 3967 | 4817 | 5689 | 6569 | 7489 | 8377 | 9281 | |
229 | 863 | 1583 | 2357 | 3181 | 3989 | 4831 | 5693 | 6571 | 7499 | 8387 | 9283 | |
233 | 877 | 1597 | 2371 | 3187 | 4001 | 4861 | 5701 | 6577 | 7507 | 8389 | 9293 | |
239 | 881 | 1601 | 2377 | 3191 | 4003 | 4871 | 5711 | 6581 | 7517 | 8419 | 9311 | |
241 | 883 | 1607 | 2381 | 3203 | 4007 | 4877 | 5717 | 6599 | 7523 | 8423 | 9319 | |
251 | 887 | 1609 | 2383 | 3209 | 4013 | 4889 | 5737 | 6607 | 7529 | 8429 | 9323 | |
257 | 907 | 1613 | 2389 | 3217 | 4019 | 4903 | 5741 | 6619 | 7537 | 8431 | 9337 | |
263 | 911 | 1619 | 2393 | 3221 | 4021 | 4909 | 5743 | 6637 | 7541 | 8443 | 9341 | |
269 | 919 | 1621 | 2399 | 3229 | 4027 | 4919 | 5749 | 6653 | 7547 | 8447 | 9343 | |
271 | 929 | 1627 | 2411 | 3251 | 4049 | 4931 | 5779 | 6659 | 7549 | 8461 | 9349 | |
277 | 937 | 1637 | 2417 | 3253 | 4051 | 4933 | 5783 | 6661 | 7559 | 8467 | 9371 | |
281 | 941 | 1657 | 2423 | 3257 | 4057 | 4937 | 5791 | 6673 | 7561 | 8501 | 9377 | |
283 | 947 | 1663 | 2437 | 3259 | 4073 | 4943 | 5801 | 6679 | 7573 | 8513 | 9391 | |
293 | 953 | 1667 | 2441 | 3271 | 4079 | 4951 | 5807 | 6689 | 7577 | 8521 | 9397 | |
307 | 967 | 1669 | 2447 | 3299 | 4091 | 4957 | 5813 | 6691 | 7583 | 8527 | 9403 | |
311 | 971 | 1693 | 2459 | 3301 | 4093 | 4967 | 5821 | 6701 | 7589 | 8537 | 9413 | |
313 | 977 | 1697 | 2467 | 3307 | 4099 | 4969 | 5827 | 6703 | 7591 | 8539 | 9419 | |
317 | 983 | 1699 | 2473 | 3313 | 4111 | 4973 | 5839 | 6709 | 7603 | 8543 | 9421 | |
331 | 991 | 1709 | 2477 | 3319 | 4127 | 4987 | 5843 | 6719 | 7607 | 8563 | 9431 | |
337 | 997 | 1721 | 2503 | 3323 | 4129 | 4993 | 5849 | 6733 | 7621 | 8573 | 9433 | |
347 | 1009 | 1723 | 2521 | 3329 | 4133 | 4999 | 5851 | 6737 | 7639 | 8581 | 9437 | |
349 | 1013 | 1733 | 2531 | 3331 | 4139 | 5003 | 5857 | 6761 | 7643 | 8597 | 9439 | |
353 | 1019 | 1741 | 2539 | 3343 | 4153 | 5009 | 5861 | 6763 | 7649 | 8599 | 9461 | |
359 | 1021 | 1747 | 2543 | 3347 | 4157 | 5011 | 5867 | 6779 | 7669 | 8609 | 9463 | |
367 | 1031 | 1753 | 2549 | 3359 | 4159 | 5021 | 5869 | 6781 | 7673 | 8623 | 9467 | |
373 | 1033 | 1759 | 2551 | 3361 | 4177 | 5023 | 5879 | 6791 | 7681 | 8627 | 9473 | |
379 | 1039 | 1777 | 2557 | 3371 | 4201 | 5039 | 5881 | 6793 | 7687 | 8629 | 9479 | |
383 | 1049 | 1783 | 2579 | 3373 | 4211 | 5051 | 5897 | 6803 | 7691 | 8641 | 9491 | |
389 | 1051 | 1787 | 2591 | 3389 | 4217 | 5059 | 5903 | 6823 | 7699 | 8647 | 9497 | |
397 | 1061 | 1789 | 2593 | 3391 | 4219 | 5077 | 5923 | 6827 | 7703 | 8663 | 9511 | |
401 | 1063 | 1801 | 2609 | 3407 | 4229 | 5081 | 5927 | 6829 | 7717 | 8669 | 9521 | |
409 | 1069 | 1811 | 2617 | 3413 | 4231 | 5087 | 5939 | 6833 | 7723 | 8677 | 9533 | |
419 | 1087 | 1823 | 2621 | 3433 | 4241 | 5099 | 5953 | 6841 | 7727 | 8681 | 9539 | |
421 | 1091 | 1831 | 2633 | 3449 | 4243 | 5101 | 5981 | 6857 | 7741 | 8689 | 9547 | |
431 | 1093 | 1847 | 2647 | 3457 | 4253 | 5107 | 5987 | 6863 | 7753 | 8693 | 9551 | |
433 | 1097 | 1861 | 2657 | 3461 | 4259 | 5113 | 6007 | 6869 | 7757 | 8699 | 9587 | |
439 | 1103 | 1867 | 2659 | 3463 | 4261 | 5119 | 6011 | 6871 | 7759 | 8707 | 9601 | |
443 | 1109 | 1871 | 2663 | 3467 | 4271 | 5147 | 6029 | 6883 | 7789 | 8713 | 9613 | |
449 | 1117 | 1873 | 2671 | 3469 | 4273 | 5153 | 6037 | 6899 | 7793 | 8719 | 9619 | |
457 | 1123 | 1877 | 2677 | 3491 | 4283 | 5167 | 6043 | 6907 | 7817 | 8731 | 9623 | |
461 | 1129 | 1879 | 2683 | 3499 | 4289 | 5171 | 6047 | 6911 | 7823 | 8737 | 9629 | |
463 | 1151 | 1889 | 2687 | 3511 | 4297 | 5179 | 6053 | 6917 | 7829 | 8741 | 9631 | |
467 | 1153 | 1901 | 2689 | 3517 | 4327 | 5189 | 6067 | 6947 | 7841 | 8747 | 9643 | |
479 | 1163 | 1907 | 2693 | 3527 | 4337 | 5197 | 6073 | 6949 | 7853 | 8753 | 9649 | |
487 | 1171 | 1913 | 2699 | 3529 | 4339 | 5209 | 6079 | 6959 | 7867 | 8761 | 9661 | |
491 | 1181 | 1931 | 2707 | 3533 | 4349 | 5227 | 6089 | 6961 | 7873 | 8779 | 9677 | |
499 | 1187 | 1933 | 2711 | 3539 | 4357 | 5231 | 6091 | 6967 | 7877 | 8783 | 9679 | |
503 | 1193 | 1949 | 2713 | 3541 | 4363 | 5233 | 6101 | 6971 | 7879 | 8803 | 9689 | |
509 | 1201 | 1951 | 2719 | 3547 | 4373 | 5237 | 6113 | 6977 | 7883 | 8807 | 9697 | |
521 | 1213 | 1973 | 2729 | 3557 | 4391 | 5261 | 6121 | 6983 | 7901 | 8819 | 9719 | |
523 | 1217 | 1979 | 2731 | 3559 | 4397 | 5273 | 6131 | 6991 | 7907 | 8821 | 9721 | |
541 | 1223 | 1987 | 2741 | 3571 | 4409 | 5279 | 6133 | 6997 | 7919 | 8831 | 9733 |