Semiprime facts for kids

Kids Encyclopedia Facts

A semiprime number is a special kind of natural number. It's a number you get by multiplying just two prime numbers together. These two prime numbers can be the same, or they can be different.

For example, the number 6 is a semiprime because you can get it by multiplying 2 and 3 (2 × 3 = 6). Both 2 and 3 are prime numbers. Another example is 9, which is also a semiprime because it's 3 × 3. Here, the two prime numbers are the same.

Semiprime numbers are very important in a field called cryptography. This is the science of keeping information secret, like when you send a private message online or use a password.

What is a Prime Number?

To understand semiprimes, you first need to know what a prime number is. A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself.

Examples of prime numbers are 2, 3, 5, 7, 11, 13, and so on.
The number 4 is not prime because it can be divided by 1, 2, and 4.
The number 1 is not considered a prime number.

How to Find Semiprime Numbers

Finding semiprime numbers is easy once you know your prime numbers. You just pick any two prime numbers and multiply them.

Let's look at some examples:

2 × 2 = 4 (4 is a semiprime)
2 × 3 = 6 (6 is a semiprime)
2 × 5 = 10 (10 is a semiprime)
3 × 3 = 9 (9 is a semiprime)
3 × 5 = 15 (15 is a semiprime)
5 × 5 = 25 (25 is a semiprime)

The first few semiprime numbers are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95, 106, 111, 115, 118, 119, 121, 122, 123, 129, 134, 141, 142, 143, 145, 146, 155, 158, 159, 161, 166, 169, 177, 178, 183, 185, 187, 194, 201, 202, 203, 205, 206, 209, 213, 214, 215, 217, 218, 219, 226, 237, 247, 249, 253, 254, 259, 262, 265, 267, 274, 278, 287, 289, 291, 298, 299, 301, 302, 303, 305, 309, 314, 319, 323, 326, 327, 329, 334, 335, 339, 341, 343, 346, 355, 357, 358, 362, 365, 371, 377, 381, 382, 386, 391, 393, 394, 395, 398, 399, 403, 407, 413, 417, 418, 422, 423, 426, 427, 437, 445, 446, 447, 451, 453, 454, 455, 458, 466, 469, 471, 473, 478, 481, 482, 483, 485, 489, 493, 494, 497, 501, 502, 505, 506, 513, 514, 515, 517, 518, 526, 527, 529, 533, 537, 538, 539, 542, 543, 545, 546, 551, 553, 554, 559, 561, 562, 565, 566, 574, 578, 579, 581, 586, 589, 595, 598, 602, 609, 611, 614, 618, 621, 622, 623, 626, 629, 633, 634, 638, 646, 649, 651, 655, 657, 662, 667, 669, 671, 674, 679, 681, 682, 685, 686, 687, 689, 693, 694, 697, 703, 706, 707, 713, 715, 717, 718, 721, 723, 729, 731, 734, 737, 738, 741, 742, 745, 746, 747, 749, 754, 755, 757, 758, 763, 766, 767, 769, 771, 777, 778, 779, 782, 783, 785, 789, 791, 793, 794, 799, 801, 802, 803, 805, 807, 813, 814, 817, 818, 819, 826, 827, 833, 835, 838, 841, 842, 843, 845, 847, 851, 853, 854, 857, 859, 861, 862, 865, 866, 869, 871, 873, 874, 878, 879, 886, 889, 891, 893, 895, 897, 898, 899, 901, 902, 903, 905, 906, 909, 913, 914, 917, 918, 921, 922, 926, 927, 929, 931, 933, 934, 935, 938, 939, 943, 946, 949, 951, 955, 957, 958, 959, 961, 962, 963, 965, 969, 973, 974, 979, 982, 985, 986, 987, 989, 991, 994, 995, 998, 1003, 1006, 1007, 1009, 1011, 1015, 1017, 1018, 1019, 1021, 1023, 1025, 1027, 1034, 1037, 1038, 1041, 1042, 1045, 1046, 1047, 1049, 1053, 1054, 1055, 1057, 1058, 1066, 1069, 1071, 1073, 1077, 1078, 1081, 1082, 1083, 1085, 1087, 1091, 1093, 1094, 1097, 1098, 1099, 1101, 1102, 1105, 1106, 1107, 1111, 1113, 1114, 1115, 1118, 1119, 1121, 1122, 1126, 1127, 1129, 1131, 1133, 1135, 1137, 1138, 1141, 1142, 1147, 1149, 1151, 1153, 1154, 1157, 1159, 1161, 1162, 1165, 1166, 1169, 1171, 1173, 1174, 1177, 1178, 1181, 1183, 1186, 1189, 1191, 1195, 1197, 1198, 1201, 1202, 1203, 1207, 1209, 1213, 1214, 1217, 1218, 1219, 1221, 1222, 1225, 1226, 1227, 1229, 1233, 1234, 1235, 1238, 1239, 1241, 1243, 1246, 1247, 1249, 1251, 1253, 1254, 1255, 1257, 1261, 1262, 1265, 1267, 1269, 1271, 1273, 1274, 1277, 1278, 1281, 1282, 1285, 1286, 1287, 1289, 1291, 1293, 1294, 1295, 1298, 1299, 1301, 1303, 1306, 1309, 1311, 1313, 1315, 1318, 1319, 1321, 1322, 1323, 1325, 1326, 1329, 1333, 1334, 1337, 1339, 1341, 1342, 1345, 1346, 1349, 1351, 1353, 1354, 1357, 1358, 1361, 1363, 1366, 1369, 1371, 1377, 1378, 1379, 1381, 1382, 1385, 1386, 1387, 1391, 1393, 1394, 1397, 1398, 1401, 1402, 1403, 1405, 1406, 1407, 1411, 1413, 1414, 1415, 1417, 1418, 1419, 1421, 1422, 1423, 1426, 1427, 1429, 1431, 1433, 1434, 1435, 1438, 1439, 1442, 1443, 1445, 1447, 1453, 1454, 1457, 1458, 1459, 1461, 1462, 1463, 1465, 1466, 1469, 1471, 1473, 1474, 1477, 1478, 1479, 1481, 1482, 1483, 1486, 1487, 1489, 1491, 1493, 1495, 1497, 1498, 1499, 1501, 1502, 1505, 1506, 1513, 1514, 1517, 1518, 1519, 1521, 1522, 1523, 1525, 1526, 1527, 1529, 1533, 1534, 1537, 1538, 1539, 1541, 1543, 1546, 1547, 1549, 1551, 1555, 1557, 1558, 1559, 1561, 1562, 1565, 1566, 1567, 1573, 1574, 1577, 1579, 1581, 1582, 1585, 1586, 1587, 1589, 1591, 1593, 1594, 1595, 1598, 1599, 1601, 1603, 1606, 1609, 1611, 1613, 1614, 1615, 1618, 1619, 1621, 1622, 1623, 1626, 1627, 1629, 1633, 1634, 1637, 1638, 1639, 1641, 1642, 1645, 1646, 1649, 1651, 1653, 1654, 1655, 1657, 1658, 1661, 1663, 1666, 1669, 1671, 1673, 1674, 1677, 1678, 1679, 1681, 1682, 1683, 1685, 1687, 1689, 1691, 1693, 1694, 1697, 1698, 1699, 1701, 1702, 1705, 1706, 1707, 1709, 1711, 1713, 1714, 1715, 1717, 1721, 1722, 1723, 1726, 1727, 1729, 1731, 1733, 1734, 1735, 1737, 1738, 1739, 1741, 1742, 1743, 1745, 1746, 1747, 1749, 1751, 1753, 1754, 1757, 1758, 1759, 1761, 1762, 1765, 1766, 1767, 1769, 1771, 1773, 1774, 1777, 1778, 1779, 1781, 1782, 1783, 1785, 1786, 1789, 1791, 1794, 1795, 1798, 1799, 1801, 1802, 1803, 1805, 1806, 1807, 1809, 1813, 1814, 1817, 1818, 1819, 1821, 1822, 1823, 1825, 1826, 1827, 1829, 1833, 1834, 1835, 1837, 1838, 1839, 1841, 1842, 1843, 1846, 1847, 1849, 1851, 1853, 1855, 1857, 1858, 1859, 1861, 1862, 1865, 1866, 1867, 1869, 1871, 1873, 1874, 1877, 1878, 1879, 1881, 1882, 1885, 1886, 1887, 1889, 1891, 1892, 1893, 1894, 1895, 1897, 1901, 1903, 1906, 1907, 1909, 1911, 1913, 1914, 1915, 1917, 1918, 1919, 1921, 1922, 1923, 1925, 1926, 1927, 1929, 1931, 1933, 1934, 1937, 1938, 1939, 1941, 1942, 1945, 1946, 1947, 1949, 1951, 1953, 1954, 1955, 1957, 1958, 1959, 1961, 1962, 1963, 1966, 1969, 1971, 1973, 1974, 1977, 1978, 1979, 1981, 1982, 1983, 1985, 1986, 1987, 1989, 1991, 1993, 1994, 1995, 1997, 1998, 1999, 2001, 2002, 2005, 2006, 2007, 2009, 2011, 2013, 2014, 2015, 2017, 2018, 2019, 2021, 2022, 2023, 2026, 2027, 2029, 2031, 2033, 2034, 2035, 2037, 2038, 2039, 2041, 2042, 2043, 2045, 2046, 2047, 2051, 2053, 2054, 2057, 2058, 2059, 2061, 2062, 2065, 2066, 2067, 2069, 2071, 2073, 2074, 2077, 2078, 2079, 2081, 2082, 2083, 2085, 2086, 2089, 2091, 2093, 2094, 2095, 2097, 2098, 2099, 2101, 2102, 2103, 2105, 2106, 2107, 2109, 2111, 2113, 2114, 2115, 2117, 2119, 2121, 2122, 2123, 2126, 2127, 2129, 2131, 2133, 2134, 2135, 2137, 2138, 2139, 2141, 2142, 2143, 2146, 2147, 2149, 2151, 2153, 2155, 2157, 2158, 2159, 2161, 2162, 2163, 2165, 2166, 2167, 2169, 2171, 2173, 2174, 2177, 2178, 2179, 2181, 2182, 2183, 2185, 2186, 2187, 2189, 2191, 2193, 2194, 2195, 2197, 2198, 2199, 2201, 2202, 2203, 2206, 2209, 2211, 2213, 2214, 2215, 2217, 2218, 2219, 2221, 2222, 2223, 2225, 2226, 2227, 2229, 2231, 2233, 2234, 2237, 2238, 2239, 2241, 2242, 2245, 2246, 2247, 2249, 2251, 2253, 2254, 2255, 2257, 2258, 2259, 2261, 2262, 2263, 2266, 2269, 2271, 2273, 2274, 2275, 2277, 2278, 2279, 2281, 2282, 2283, 2285, 2286, 2287, 2289, 2291, 2293, 2294, 2295, 2297, 2298, 2299, 2301, 2302, 2303, 2305, 2306, 2307, 2309, 2311, 2313, 2314, 2315, 2317, 2318, 2319, 2321, 2322, 2323, 2326, 2327, 2329, 2331, 2333, 2334, 2335, 2337, 2338, 2339, 2341, 2342, 2343, 2345, 2346, 2347, 2349, 2351, 2353, 2354, 2357, 2358, 2359, 2361, 2362, 2365, 2366, 2367, 2369, 2371, 2373, 2374, 2377, 2378, 2379, 2381, 2382, 2383, 2385, 2386, 2387, 2389, 2391, 2394, 2395, 2397, 2398, 2399, 2401, 2402, 2403, 2405, 2406, 2407, 2409, 2413, 2414, 2417, 2418, 2419, 2421, 2422, 2423, 2425, 2426, 2427, 2429, 2431, 2433, 2434, 2435, 2437, 2438, 2439, 2441, 2442, 2443, 2446, 2447, 2449, 2451, 2453, 2454, 2455, 2457, 2458, 2459, 2461, 2462, 2463, 2465, 2466, 2467, 2469, 2471, 2473, 2474, 2477, 2478, 2479, 2481, 2482, 2483, 2485, 2486, 2487, 2489, 2491, 2493, 2494, 2495, 2497, 2498, 2499, 2501, 2502, 2503, 2505, 2506, 2507, 2509, 2511, 2513, 2514, 2515, 2517, 2518, 2519, 2521, 2522, 2523, 2525, 2526, 2527, 2529, 2531, 2533, 2534, 2537, 2538, 2539, 2541, 2542, 2545, 2546, 2547, 2549, 2551, 2553, 2554, 2555, 2557, 2558, 2559, 2561, 2562, 2563, 2566, 2569, 2571, 2573, 2574, 2575, 2577, 2578, 2579, 2581, 2582, 2583, 2585, 2586, 2587, 2589, 2591, 2593, 2594, 2597, 2598, 2599, 2601, 2602, 2603, 2605, 2606, 2607, 2609, 2611, 2613, 2614, 2615, 2617, 2618, 2619, 2621, 2622, 2623, 2626, 2627, 2629, 2631, 2633, 2634, 2635, 2637, 2638, 2639, 2641, 2642, 2643, 2645, 2646, 2647, 2649, 2651, 2653, 2654, 2657, 2658, 2659, 2661, 2662, 2665, 2666, 2667, 2669, 2671, 2673, 2674, 2677, 2678, 2679, 2681, 2682, 2683, 2685, 2686, 2687, 2689, 2691, 2693, 2694, 2695, 2697, 2698, 2699, 2701, 2702, 2703, 2705, 2706, 2707, 2709, 2711, 2713, 2714, 2715, 2717, 2718, 2719, 2721, 2722, 2723, 2725, 2726, 2727, 2729, 2731, 2733, 2734, 2735, 2737, 2738, 2739, 2741, 2742, 2743, 2746, 2747, 2749, 2751, 2753, 2754, 2755, 2757, 2758, 2759, 2761, 2762, 2763, 2765, 2766, 2767, 2769, 2771, 2773, 2774, 2777, 2778, 2779, 2781, 2782, 2785, 2786, 2787, 2789, 2791, 2793, 2794, 2795, 2797, 2798, 2799, 2801, 2802, 2803, 2805, 2806, 2807, 2809, 2811, 2813, 2814, 2815, 2817, 2818, 2819, 2821, 2822, 2823, 2825, 2826, 2827, 2829, 2831, 2833, 2834, 2837, 2838, 2839, 2841, 2842, 2845, 2846, 2847, 2849, 2851, 2853, 2854, 2855, 2857, 2858, 2859, 2861, 2862, 2863, 2866, 2869, 2871, 2873, 2874, 2875, 2877, 2878, 2879, 2881, 2882, 2883, 2885, 2886, 2887, 2889, 2891, 2893, 2894, 2895, 2897, 2898, 2899, 2901, 2902, 2903, 2905, 2906, 2907, 2909, 2911, 2913, 2914, 2915, 2917, 2918, 2919, 2921, 2922, 2923, 2925, 2926, 2927, 2929, 2931, 2933, 2934, 2937, 2938, 2939, 2941, 2942, 2945, 2946, 2947, 2949, 2951, 2953, 2954, 2955, 2957, 2958, 2959, 2961, 2962, 2963, 2966, 2969, 2971, 2973, 2974, 2975, 2977, 2978, 2979, 2981, 2982, 2983, 2985, 2986, 2987, 2989, 2991, 2993, 2994, 2995, 2997, 2998, 2999, 3001, 3002, 3003, 3005, 3006, 3007, 3009, 3011, 3013, 3014, 3015, 3017, 3018, 3019, 3021, 3022, 3023, 3025, 3026, 3027, 3029, 3031, 3033, 3034, 3035, 3037, 3038, 3039, 3041, 3042, 3043, 3045, 3046, 3047, 3049, 3051, 3053, 3054, 3055, 3057, 3058, 3059, 3061, 3062, 3063, 3065, 3066, 3067, 3069, 3071, 3073, 3074, 3077, 3078, 3079, 3081, 3082, 3085, 3086, 3087, 3089, 3091, 3093, 3094, 3095, 3097, 3098, 3099, 3101, 3102, 3103, 3105, 3106, 3107, 3109, 3111, 3113, 3114, 3115, 3117, 3118, 3119, 3121, 3122, 3123, 3125, 3126, 3127, 3129, 3131, 3133, 3134, 3137, 3138, 3139, 3141, 3142, 3145, 3146, 3147, 3149, 3151, 3153, 3154, 3155, 3157, 3158, 3159, 3161, 3162, 3163, 3166, 3169, 3171, 3173, 3174, 3175, 3177, 3178, 3179, 3181, 3182, 3183, 3185, 3186, 3187, 3189, 3191, 3193, 3194, 3195, 3197, 3198, 3199, 3201, 3202, 3203, 3205, 3206, 3207, 3209, 3211, 3213, 3214, 3215, 3217, 3218, 3219, 3221, 3222, 3223, 3225, 3226, 3227, 3229, 3231, 3233, 3234, 3237, 3238, 3239, 3241, 3242, 3245, 3246, 3247, 3249, 3251, 3253, 3254, 3255, 3257, 3258, 3259, 3261, 3262, 3263, 3266, 3269, 3271, 3273, 3274, 3275, 3277, 3278, 3279, 3281, 3282, 3283, 3285, 3286, 3287, 3289, 3291, 3293, 3294, 3295, 3297, 3298, 3299, 3301, 3302, 3303, 3305, 3306, 3307, 3309, 3311, 3313, 3314, 3315, 3317, 3318, 3319, 3321, 3322, 3323, 3325, 3326, 3327, 3329, 3331, 3333, 3334, 3335, 3337, 3338, 3339, 3341, 3342, 3343, 3346, 3347, 3349, 3351, 3353, 3354, 3355, 3357, 3358, 3359, 3361, 3362, 3363, 3365, 3366, 3367, 3369, 3371, 3373, 3374, 3377, 3378, 3379, 3381, 3382, 3385, 3386, 3387, 3389, 3391, 3393, 3394, 3395, 3397, 3398, 3399, 3401, 3402, 3403, 3405, 3406, 3407, 3409, 3411, 3413, 3414, 3415, 3417, 3418, 3419, 3421, 3422, 3423, 3425, 3426, 3427, 3429, 3431, 3433, 3434, 3437, 3438, 3439, 3441, 3442, 3445, 3446, 3447, 3449, 3451, 3453, 3454, 3455, 3457, 3458, 3459, 3461, 3462, 3463, 3466, 3469, 3471, 3473, 3474, 3475, 3477, 3478, 3479, 3481, 3482, 3483, 3485, 3486, 3487, 3489, 3491, 3493, 3494, 3495, 3497, 3498, 3499, 3501, 3502, 3503, 3505, 3506, 3507, 3509, 3511, 3513, 3514, 3515, 3517, 3518, 3519, 3521, 3522, 3523, 3525, 3526, 3527, 3529, 3531, 3533, 3534, 3537, 3538, 3539, 3541, 3542, 3545, 3546, 3547, 3549, 3551, 3553, 3554, 3555, 3557, 3558, 3559, 3561, 3562, 3563, 3566, 3569, 3571, 3573, 3574, 3575, 3577, 3578, 3579, 3581, 3582, 3583, 3585, 3586, 3587, 3589, 3591, 3593, 3594, 3595, 3597, 3598, 3599, 3601, 3602, 3603, 3605, 3606, 3607, 3609, 3611, 3613, 3614, 3615, 3617, 3618, 3619, 3621, 3622, 3623, 3625, 3626, 3627, 3629, 3631, 3633, 3634, 3635, 3637, 3638, 3639, 3641, 3642, 3643, 3645, 3646, 3647, 3649, 3651, 3653, 3654, 3655, 3657, 3658, 3659, 3661, 3662, 3663, 3665, 3666, 3667, 3669, 3671, 3673, 3674, 3677, 3678, 3679, 3681, 3682, 3685, 3686, 3687, 3689, 3691, 3693, 3694, 3695, 3697, 3698, 3699, 3701, 3702, 3703, 3705, 3706, 3707, 3709, 3711, 3713, 3714, 3715, 3717, 3718, 3719, 3721, 3722, 3723, 3725, 3726, 3727, 3729, 3731, 3733, 3734, 3737, 3738, 3739, 3741, 3742, 3745, 3746, 3747, 3749, 3751, 3753, 3754, 3755, 3757, 3758, 3759, 3761, 3762, 3763, 3766, 3769, 3771, 3773, 3774, 3775, 3777, 3778, 3779, 3781, 3782, 3783, 3785, 3786, 3787, 3789, 3791, 3793, 3794, 3795, 3797, 3798, 3799, 3801, 3802, 3803, 3805, 3806, 3807, 3809, 3811, 3813, 3814, 3815, 3817, 3818, 3819, 3821, 3822, 3823, 3825, 3826, 3827, 3829, 3831, 3833, 3834, 3835, 3837, 3838, 3839, 3841, 3842, 3843, 3845, 3846, 3847, 3849, 3851, 3853, 3854, 3855, 3857, 3858, 3859, 3861, 3862, 3863, 3866, 3869, 3871, 3873, 3874, 3875, 3877, 3878, 3879, 3881, 3882, 3883, 3885, 3886, 3887, 3889, 3891, 3893, 3894, 3895, 3897, 3898, 3899, 3901, 3902, 3903, 3905, 3906, 3907, 3909, 3911, 3913, 3914, 3915, 3917, 3918, 3919, 3921, 3922, 3923, 3925, 3926, 3927, 3929, 3931, 3933, 3934, 3937, 3938, 3939, 3941, 3942, 3945, 3946, 3947, 3949, 3951, 3953, 3954, 3955, 3957, 3958, 3959, 3961, 3962, 3963, 3965, 3966, 3967, 3969, 3971, 3973, 3974, 3977, 3978, 3979, 3981, 3982, 3985, 3986, 3987, 3989, 3991, 3993, 3994, 3995, 3997, 3998, 3999, 4001, 4002, 4003, 4005, 4006, 4007, 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