{"id":364,"date":"2020-02-27T20:41:40","date_gmt":"2020-02-27T20:41:40","guid":{"rendered":"https:\/\/zzip.dk\/fag\/?page_id=364"},"modified":"2026-02-04T23:48:14","modified_gmt":"2026-02-04T22:48:14","slug":"primtal","status":"publish","type":"page","link":"https:\/\/duda.dk\/fag\/matematik\/primtal\/","title":{"rendered":"Primtal"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column]<div class=\"templatera_shortcode\"><div class=\"vc_row wpb_row vc_row-fluid wpex-relative\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_raw_html wpb_content_element\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-7148441496404727\"\n     crossorigin=\"anonymous\"><\/script>\n<!-- DUDAfag displayannonce -->\n<ins class=\"adsbygoogle\"\n     style=\"display:block\"\n     data-ad-client=\"ca-pub-7148441496404727\"\n     data-ad-slot=\"1681698829\"\n     data-ad-format=\"horizontal\"\n     data-full-width-responsive=\"false\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div>\r\n<\/div><div class=\"vcex-module vcex-teaser vcex-teaser-two wpex-flex wpex-flex-col wpex-surface-2 wpex-p-20 wpex-rounded vc_custom_1770245292121\" style=\"background:#e8f9f9;\"><div class=\"vcex-teaser-content\"><h2 class=\"vcex-teaser-heading wpex-heading wpex-text-lg\">Hvad er et primtal?<\/h2><div class=\"vcex-teaser-text wpex-mt-10 wpex-last-mb-0 wpex-clr\"><p>Et primtal er et positivt heltal st\u00f8rre end 1, som kun kan deles med tallet 1 og tallet selv, ogs\u00e5 kaldet de trivielle divisorer.<\/p>\n<p>Ethvert positivt heltal kan p\u00e5 en entydig m\u00e5de skrives som et produkt af primtal, som kaldes tallets primfaktorer. F.eks. er 60 = 2 x 2 \u00d7 3 \u00d7 5. Denne egenskab kaldes ogs\u00e5 aritmetikkens fundamentals\u00e6tning. Bem\u00e6rk at 1 er ikke et primtal bl.a. fordi primfaktorerne s\u00e5 ikke bliver entydige.<\/p>\n<p>Ethvert primtal st\u00f8rre end 3 har en &#8220;nabo&#8221; i 6-tabellen (fx er 5 nabo til 6, 11 er nabo til 12 og 17 er nabo til 18 osv.).<\/p>\n<p>Med undtagelse for 2 og 5 s\u00e5 har alle andre primtal et sidste ciffer, der er 1 3, 7 eller 9 (g\u00e6ldende fra tallet 11 og st\u00f8rre).<\/p>\n<p>Her har du en liste med de f\u00f8rste 10.000 primtal, l\u00e6r dem udenad til n\u00e6ste matematiktime \ud83d\ude42<\/p>\n<p><strong>PS<\/strong>. Under listen finder du en uddybende forklaring om primtal<\/p>\n<\/div><\/div><\/div>[vc_column_text]\n<pre> \u00a0\u00a0\u00a0  2\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 \u00a0 5\u00a0\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0 \u00a0 11\u00a0\u00a0\u00a0\u00a0 13\u00a0\u00a0\u00a0\u00a0 17\u00a0\u00a0\u00a0\u00a0 19\u00a0\u00a0\u00a0\u00a0 23\u00a0 \u00a0\u00a0 29\r\n \u00a0\u00a0\u00a0 31\u00a0\u00a0\u00a0\u00a0 37\u00a0\u00a0 \u00a0 41\u00a0\u00a0\u00a0\u00a0 43\u00a0\u00a0\u00a0\u00a0 47\u00a0\u00a0\u00a0\u00a0 53\u00a0\u00a0\u00a0\u00a0 59\u00a0\u00a0\u00a0\u00a0 61\u00a0\u00a0\u00a0\u00a0 67\u00a0\u00a0\u00a0\u00a0 71\r\n \u00a0\u00a0\u00a0 73\u00a0\u00a0\u00a0\u00a0 79\u00a0\u00a0\u00a0\u00a0 83\u00a0\u00a0\u00a0\u00a0 89\u00a0\u00a0\u00a0\u00a0 97\u00a0\u00a0\u00a0 101\u00a0\u00a0\u00a0 103\u00a0\u00a0\u00a0 107\u00a0\u00a0\u00a0 109\u00a0\u00a0\u00a0 113\r\n\u00a0\u00a0\u00a0 127\u00a0\u00a0\u00a0 131\u00a0\u00a0\u00a0\u00a0137\u00a0\u00a0\u00a0 139\u00a0\u00a0\u00a0 149\u00a0\u00a0\u00a0 151\u00a0\u00a0\u00a0 157\u00a0\u00a0\u00a0 163\u00a0\u00a0\u00a0 167\u00a0\u00a0\u00a0 173\r\n\u00a0\u00a0\u00a0 179\u00a0\u00a0\u00a0 181\u00a0\u00a0\u00a0\u00a0191\u00a0\u00a0\u00a0 193\u00a0\u00a0\u00a0 197\u00a0\u00a0\u00a0 199\u00a0\u00a0\u00a0 211\u00a0\u00a0\u00a0 223\u00a0\u00a0\u00a0 227\u00a0\u00a0\u00a0 229\r\n\u00a0\u00a0\u00a0 233\u00a0\u00a0\u00a0 239\u00a0\u00a0\u00a0\u00a0241\u00a0\u00a0\u00a0 251\u00a0\u00a0\u00a0 257\u00a0\u00a0\u00a0 263\u00a0\u00a0\u00a0 269\u00a0\u00a0\u00a0 271\u00a0\u00a0\u00a0 277\u00a0\u00a0\u00a0 281\r\n\u00a0\u00a0\u00a0 283\u00a0\u00a0\u00a0 293\u00a0\u00a0\u00a0\u00a0307\u00a0\u00a0\u00a0 311\u00a0\u00a0\u00a0 313\u00a0\u00a0\u00a0 317\u00a0\u00a0\u00a0 331\u00a0\u00a0\u00a0 337\u00a0\u00a0\u00a0 347\u00a0\u00a0\u00a0 349\r\n\u00a0\u00a0\u00a0 353\u00a0\u00a0\u00a0 359\u00a0\u00a0\u00a0\u00a0367\u00a0\u00a0\u00a0 373\u00a0\u00a0\u00a0 379\u00a0\u00a0\u00a0 383\u00a0\u00a0\u00a0 389\u00a0\u00a0\u00a0 397\u00a0\u00a0\u00a0 401\u00a0\u00a0\u00a0 409\r\n\u00a0\u00a0\u00a0 419\u00a0\u00a0\u00a0 421\u00a0\u00a0\u00a0\u00a0431\u00a0\u00a0\u00a0 433\u00a0\u00a0\u00a0 439\u00a0\u00a0\u00a0 443\u00a0\u00a0\u00a0 449\u00a0\u00a0\u00a0 457\u00a0\u00a0\u00a0 461\u00a0\u00a0\u00a0 463\r\n\u00a0\u00a0\u00a0 467\u00a0\u00a0\u00a0 479\u00a0\u00a0\u00a0\u00a0487\u00a0\u00a0\u00a0 491\u00a0\u00a0\u00a0 499\u00a0\u00a0\u00a0 503\u00a0\u00a0\u00a0 509\u00a0\u00a0\u00a0 521\u00a0\u00a0\u00a0 523\u00a0\u00a0\u00a0 541\r\n\u00a0\u00a0\u00a0 547\u00a0\u00a0\u00a0 557\u00a0\u00a0\u00a0\u00a0563\u00a0\u00a0\u00a0 569\u00a0\u00a0\u00a0 571\u00a0\u00a0\u00a0 577\u00a0\u00a0\u00a0 587\u00a0\u00a0\u00a0 593\u00a0\u00a0\u00a0 599\u00a0\u00a0\u00a0 601\r\n\u00a0\u00a0\u00a0 607\u00a0\u00a0\u00a0 613\u00a0\u00a0\u00a0\u00a0617\u00a0\u00a0\u00a0 619\u00a0\u00a0\u00a0 631\u00a0\u00a0\u00a0 641\u00a0\u00a0\u00a0 643\u00a0\u00a0\u00a0 647\u00a0\u00a0\u00a0 653\u00a0\u00a0\u00a0 659\r\n\u00a0\u00a0\u00a0 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971\u00a0\u00a0\u00a0 977\u00a0\u00a0\u00a0 983\u00a0\u00a0\u00a0 991\u00a0\u00a0\u00a0 997\u00a0\u00a0 1009\u00a0\u00a0 1013\r\n\u00a0\u00a0 1019\u00a0\u00a0 1021\u00a0\u00a0 1031\u00a0\u00a0 1033\u00a0\u00a0 1039\u00a0\u00a0 1049\u00a0\u00a0 1051\u00a0\u00a0 1061\u00a0\u00a0 1063\u00a0\u00a0 1069\r\n\u00a0\u00a0 1087\u00a0\u00a0 1091\u00a0\u00a0 1093\u00a0\u00a0 1097\u00a0\u00a0 1103\u00a0\u00a0 1109\u00a0\u00a0 1117\u00a0\u00a0 1123\u00a0\u00a0 1129\u00a0\u00a0 1151\r\n\u00a0\u00a0 1153\u00a0\u00a0 1163\u00a0\u00a0 1171\u00a0\u00a0 1181\u00a0\u00a0 1187\u00a0\u00a0 1193\u00a0\u00a0 1201\u00a0\u00a0 1213\u00a0\u00a0 1217\u00a0\u00a0 1223\r\n\u00a0\u00a0 1229\u00a0\u00a0 1231\u00a0\u00a0 1237\u00a0\u00a0 1249\u00a0\u00a0 1259\u00a0\u00a0 1277\u00a0\u00a0 1279\u00a0\u00a0 1283\u00a0\u00a0 1289\u00a0\u00a0 1291\r\n\u00a0\u00a0 1297\u00a0\u00a0 1301\u00a0\u00a0 1303\u00a0\u00a0 1307\u00a0\u00a0 1319\u00a0\u00a0 1321\u00a0\u00a0 1327\u00a0\u00a0 1361\u00a0\u00a0 1367\u00a0\u00a0 1373\r\n\u00a0\u00a0 1381\u00a0\u00a0 1399\u00a0\u00a0 1409\u00a0\u00a0 1423\u00a0\u00a0 1427\u00a0\u00a0 1429\u00a0\u00a0 1433\u00a0\u00a0 1439\u00a0\u00a0 1447\u00a0\u00a0 1451\r\n\u00a0\u00a0 1453\u00a0\u00a0 1459\u00a0\u00a0 1471\u00a0\u00a0 1481\u00a0\u00a0 1483\u00a0\u00a0 1487\u00a0\u00a0 1489\u00a0\u00a0 1493\u00a0\u00a0 1499\u00a0\u00a0 1511\r\n\u00a0\u00a0 1523\u00a0\u00a0 1531\u00a0\u00a0 1543\u00a0\u00a0 1549\u00a0\u00a0 1553\u00a0\u00a0 1559\u00a0\u00a0 1567\u00a0\u00a0 1571\u00a0\u00a0 1579\u00a0\u00a0 1583\r\n\u00a0\u00a0 1597\u00a0\u00a0 1601\u00a0\u00a0 1607\u00a0\u00a0 1609\u00a0\u00a0 1613\u00a0\u00a0 1619\u00a0\u00a0 1621\u00a0\u00a0 1627\u00a0\u00a0 1637\u00a0\u00a0 1657\r\n\u00a0\u00a0 1663\u00a0\u00a0 1667\u00a0\u00a0 1669\u00a0\u00a0 1693\u00a0\u00a0 1697\u00a0\u00a0 1699\u00a0\u00a0 1709\u00a0\u00a0 1721\u00a0\u00a0 1723\u00a0\u00a0 1733\r\n\u00a0\u00a0 1741\u00a0\u00a0 1747\u00a0\u00a0 1753\u00a0\u00a0 1759\u00a0\u00a0 1777\u00a0\u00a0 1783\u00a0\u00a0 1787\u00a0\u00a0 1789\u00a0\u00a0 1801\u00a0\u00a0 1811\r\n\u00a0\u00a0 1823\u00a0\u00a0 1831\u00a0\u00a0 1847\u00a0\u00a0 1861\u00a0\u00a0 1867\u00a0\u00a0 1871\u00a0\u00a0 1873\u00a0\u00a0 1877\u00a0\u00a0 1879\u00a0\u00a0 1889\r\n\u00a0\u00a0 1901\u00a0\u00a0 1907\u00a0\u00a0 1913\u00a0\u00a0 1931\u00a0\u00a0 1933\u00a0\u00a0 1949\u00a0\u00a0 1951\u00a0\u00a0 1973\u00a0\u00a0 1979\u00a0\u00a0 1987\r\n\u00a0\u00a0 1993\u00a0\u00a0 1997\u00a0\u00a0 1999\u00a0\u00a0 2003\u00a0\u00a0 2011\u00a0\u00a0 2017\u00a0\u00a0 2027\u00a0\u00a0 2029\u00a0\u00a0 2039\u00a0\u00a0 2053\r\n\u00a0\u00a0 2063\u00a0\u00a0 2069\u00a0\u00a0 2081\u00a0\u00a0 2083\u00a0\u00a0 2087\u00a0\u00a0 2089\u00a0\u00a0 2099\u00a0\u00a0 2111\u00a0\u00a0 2113\u00a0\u00a0 2129\r\n\u00a0\u00a0 2131\u00a0\u00a0 2137\u00a0\u00a0 2141\u00a0\u00a0 2143\u00a0\u00a0 2153\u00a0\u00a0 2161\u00a0\u00a0 2179\u00a0\u00a0 2203\u00a0\u00a0 2207\u00a0\u00a0 2213\r\n\u00a0\u00a0 2221\u00a0\u00a0 2237\u00a0\u00a0 2239\u00a0\u00a0 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101161 101173\r\n\u00a0101183 101197 101203 101207 101209 101221 101267 101273 101279 101281\r\n\u00a0101287 101293 101323 101333 101341 101347 101359 101363 101377 101383\r\n\u00a0101399 101411 101419 101429 101449 101467 101477 101483 101489 101501\r\n\u00a0101503 101513 101527 101531 101533 101537 101561 101573 101581 101599\r\n\u00a0101603 101611 101627 101641 101653 101663 101681 101693 101701 101719\r\n\u00a0101723 101737 101741 101747 101749 101771 101789 101797 101807 101833\r\n\u00a0101837 101839 101863 101869 101873 101879 101891 101917 101921 101929\r\n\u00a0101939 101957 101963 101977 101987 101999 102001 102013 102019 102023\r\n\u00a0102031 102043 102059 102061 102071 102077 102079 102101 102103 102107\r\n\u00a0102121 102139 102149 102161 102181 102191 102197 102199 102203 102217\r\n\u00a0102229 102233 102241 102251 102253 102259 102293 102299 102301 102317\r\n\u00a0102329 102337 102359 102367 102397 102407 102409 102433 102437 102451\r\n\u00a0102461 102481 102497 102499 102503 102523 102533 102539 102547 102551\r\n\u00a0102559 102563 102587 102593 102607 102611 102643 102647 102653 102667\r\n\u00a0102673 102677 102679 102701 102761 102763 102769 102793 102797 102811\r\n\u00a0102829 102841 102859 102871 102877 102881 102911 102913 102929 102931\r\n\u00a0102953 102967 102983 103001 103007 103043 103049 103067 103069 103079\r\n\u00a0103087 103091 103093 103099 103123 103141 103171 103177 103183 103217\r\n\u00a0103231 103237 103289 103291 103307 103319 103333 103349 103357 103387\r\n\u00a0103391 103393 103399 103409 103421 103423 103451 103457 103471 103483\r\n\u00a0103511 103529 103549 103553 103561 103567 103573 103577 103583 103591\r\n\u00a0103613 103619 103643 103651 103657 103669 103681 103687 103699 103703\r\n\u00a0103723 103769 103787 103801 103811 103813 103837 103841 103843 103867\r\n\u00a0103889 103903 103913 103919 103951 103963 103967 103969 103979 103981\r\n\u00a0103991 103993 103997 104003 104009 104021 104033 104047 104053 104059\r\n\u00a0104087 104089 104107 104113 104119 104123 104147 104149 104161 104173\r\n\u00a0104179 104183 104207 104231 104233 104239 104243 104281 104287 104297\r\n\u00a0104309 104311 104323 104327 104347 104369 104381 104383 104393 104399\r\n\u00a0104417 104459 104471 104473 104479 104491 104513 104527 104537 104543\r\n\u00a0104549 104551 104561 104579 104593 104597 104623 104639 104651 104659\r\n\u00a0104677 104681 104683 104693 104701 104707 104711 104717 104723 104729<\/pre>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;&#8221;]\n<h2>Primtal: Hvad er et primtal? \u2013 En dybdeg\u00e5ende guide<\/h2>\n<p>Nedenfor dykker vi ned i matematikkens verden for at udforske <strong>primtal, hvad er et primtal<\/strong>, og hvorfor disse tal er s\u00e5 fascinerende. Siden 2004 har DUDA.dk v\u00e6ret din p\u00e5lidelige kilde til viden, og vi forts\u00e6tter med at levere indhold, der g\u00f8r l\u00e6ring tilg\u00e6ngeligt og engagerende.<\/p>\n<ul>\n<li>\n<p class=\"bn-inline-content\">Hvad er et primtal helt pr\u00e6cist?<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">Eksempler p\u00e5 primtal<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">Hvorfor er primtal s\u00e5 specielle?<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">Primtal i hverdagen og teknologien<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">Mere om matematik p\u00e5 DUDA.dk<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">Ofte Stillede Sp\u00f8rgsm\u00e5l om primtal<\/p>\n<\/li>\n<\/ul>\n<h2 data-level=\"2\">Hvad er et primtal helt pr\u00e6cist?<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3106 alignleft\" src=\"https:\/\/duda.dk\/fag\/wp-content\/uploads\/sites\/4\/2024\/05\/primtal01_600x400-205x137.jpg\" alt=\"Primtal\" width=\"205\" height=\"137\" srcset=\"https:\/\/duda.dk\/fag\/wp-content\/uploads\/sites\/4\/2024\/05\/primtal01_600x400-205x137.jpg 205w, https:\/\/duda.dk\/fag\/wp-content\/uploads\/sites\/4\/2024\/05\/primtal01_600x400.jpg 600w\" sizes=\"auto, (max-width: 205px) 100vw, 205px\" \/>Et <strong>primtal<\/strong> er et positivt heltal, der er st\u00f8rre end 1, og som kun kan divideres med to positive heltal: 1 og tallet selv. Det lyder m\u00e5ske simpelt, men denne definition er grundlaget for en hel gren af matematikken. Tallet 1 regnes ikke for et primtal, da det kun har \u00e9n divisor (sig selv).<\/p>\n<p>Forestil dig et tal. Hvis de eneste tal, der kan dividere det uden rest, er 1 og tallet selv, s\u00e5 har du et primtal. Hvis et tal har flere end to divisorer, kaldes det et sammensat tal. For eksempel er 4 et sammensat tal, fordi det kan divideres med 1, 2 og 4. Men 3 er et primtal, da det kun kan divideres med 1 og 3.<\/p>\n<h2 data-level=\"2\">Eksempler p\u00e5 primtal<\/h2>\n<p>Lad os se p\u00e5 nogle af de f\u00f8rste <strong>primtal<\/strong>:<\/p>\n<ul>\n<li>\n<p class=\"bn-inline-content\"><strong>2<\/strong>: Er det eneste lige primtal. Kan kun divideres med 1 og 2.<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\"><strong>3<\/strong>: Kan kun divideres med 1 og 3.<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\"><strong>5<\/strong>: Kan kun divideres med 1 og 5.<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">7: Kan kun divideres med 1 og 7.<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">11: Kan kun divideres med 1 og 11.<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">13: Kan kun divideres med 1 og 13.<\/p>\n<\/li>\n<\/ul>\n<p>Listen forts\u00e6tter uendeligt! Matematikere har fundet stadig st\u00f8rre primtal igennem historien, og jagten forts\u00e6tter.<\/p>\n<p>Ovenfor finder du en tabel over de f\u00f8rste 10.000 primtal.<\/p>\n<h2>Hvorfor er primtal s\u00e5 specielle?<\/h2>\n<p><strong>Primtal<\/strong> er byggestenene i talverdenen. Hvert eneste positive heltal, der ikke er et primtal (alts\u00e5 et sammensat tal), kan skrives som et unikt produkt af primtal. Dette kaldes aritmetikkens fundamentals\u00e6tning.<\/p>\n<p>For eksempel:<\/p>\n<ul>\n<li>\n<p class=\"bn-inline-content\">6 = 2 * 3 (2 og 3 er primtal)<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">12 = 2 * 2 * 3 (2 og 3 er primtal)<\/p>\n<\/li>\n<li>\n<p class=\"bn-inline-content\">30 = 2 * 3 * 5 (2, 3 og 5 er primtal)<\/p>\n<\/li>\n<\/ul>\n<p>Denne unikke egenskab g\u00f8r primtal utroligt vigtige inden for matematik og computervidenskab.<\/p>\n<h2 data-level=\"2\">Primtal i hverdagen og teknologien<\/h2>\n<p>Selvom <strong>primtal<\/strong> kan virke som et rent teoretisk koncept, spiller de en afg\u00f8rende rolle i mange aspekter af vores moderne liv, is\u00e6r inden for sikkerhed og kryptering. N\u00e5r du sender en e-mail, handler online eller logger ind p\u00e5 din bank, bruger du sandsynligvis systemer, der er baseret p\u00e5 primtals egenskaber for at beskytte dine data.<\/p>\n<p>Store primtal bruges til at skabe kryptografiske n\u00f8gler, der er ekstremt sv\u00e6re at bryde. Det er stort set umuligt at finde ud af de oprindelige primtal, selv med nutidens supercomputere, n\u00e5r de er blevet ganget sammen til et meget, meget stort tal. Dette er grunden til, at din information forbliver privat og sikker online.<\/p>\n<h2 data-level=\"2\">Mere om matematik p\u00e5 DUDA.dk<\/h2>\n<p>P\u00e5 DUDA.dk har vi et v\u00e6ld af ressourcer, der kan hj\u00e6lpe dig med at udforske matematik videre. Du kan finde interaktive opgaver og videoer, der forklarer alt fra grundl\u00e6ggende aritmetik til mere avancerede emner. Vi har alt, hvad du skal bruge for at styrke dine matematiske f\u00e6rdigheder, uanset om du er elev, studerende eller bare nysgerrig.<\/p>\n<p>Bes\u00f8g vores <a href=\"\/fag\/matematik\/\">matematiksektion<\/a> for at finde flere sp\u00e6ndende emner. Vi har ogs\u00e5 masser af andre sp\u00e6ndende l\u00e6ringsressourcer, fra <a href=\"\/video\/\">videoer<\/a> om fysik og historie til <a href=\"\/opgaver\/\">opgaver<\/a> i sprogfag som engelsk og fransk. Du kan endda finde sjove <a href=\"\/spil\/sudoku\/\">Sudoku<\/a>-spil, der sk\u00e6rper din logiske t\u00e6nkning. Vidste du, at Sudoku, der betyder &#8220;solitary numbers&#8221; eller &#8220;numbers that must be unique&#8221; p\u00e5 japansk, blev popul\u00e6rt i Japan i 1980&#8217;erne, men blev faktisk opfundet i det 18. \u00e5rhundrede af Leonhard Euler?<\/p>\n<p>Vi d\u00e6kker ogs\u00e5 emner som <a href=\"\/fag\/matematik\/romertal\/\">romertal<\/a>, som er en anden fascinerende del af talhistorien.<\/p>\n<h2 data-level=\"2\">Ofte Stillede Sp\u00f8rgsm\u00e5l om primtal<\/h2>\n<h3>Hvorfor er 1 ikke et primtal?<\/h3>\n<p>Tallet 1 har kun \u00e9n divisor (sig selv), mens et primtal skal have pr\u00e6cis to forskellige divisorer: 1 og tallet selv. Derfor opfylder 1 ikke definitionen p\u00e5 et primtal.<\/p>\n<h3>Findes der et st\u00f8rste primtal?<\/h3>\n<p>Nej, if\u00f8lge Euklids bevis fra oldtiden er der uendeligt mange primtal. Der findes alts\u00e5 ikke et sidste, st\u00f8rste primtal.<\/p>\n<h3>Hvad er primtalsfaktorisering?<\/h3>\n<p>Primtalsfaktorisering er processen, hvor man nedbryder et sammensat tal til et produkt af dets primfaktorer. For eksempel er primtalsfaktoriseringen af 12 lig med 2 * 2 * 3.<\/p>\n<h3>Hvilke spil p\u00e5 DUDA.dk kan hj\u00e6lpe med at styrke den logiske sans, der ogs\u00e5 bruges med primtal?<\/h3>\n<p>P\u00e5 DUDA.dk har vi flere spil, der kan udfordre din logiske t\u00e6nkning. Udover <a href=\"\/spil\/sudoku\/\">Sudoku<\/a>, som handler om at placere tal strategisk, kan du ogs\u00e5 pr\u00f8ve kr\u00e6fter med <a href=\"\/spil\/kakuro\/\">Kakuro<\/a> eller <a href=\"\/spil\/mastermind\/\">Mastermind<\/a>. Disse spil hj\u00e6lper med at udvikle de f\u00e6rdigheder, der er nyttige, n\u00e5r man arbejder med matematiske begreber som primtal.[\/vc_column_text][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"Hvad er et primtal?Et primtal er et positivt heltal st\u00f8rre end 1, som kun kan deles med tallet 1 og tallet selv, ogs\u00e5 kaldet de trivielle divisorer. Ethvert positivt heltal kan p\u00e5 en entydig m\u00e5de skrives som et produkt af primtal, som kaldes tallets primfaktorer. F.eks. er 60 = 2 x 2 \u00d7 3 \u00d7&hellip;","protected":false},"author":1,"featured_media":3106,"parent":308,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-364","page","type-page","status-publish","has-post-thumbnail","hentry","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Primtal - her er en liste og tabel med de f\u00f8rste 10.000 primtal<\/title>\n<meta name=\"description\" content=\"Et primtal er et positivt tal som kun kan deles med tallet 1 og med sig selv. 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