A product of two primes. more
The first 600 semiprimes :
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,
133,
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,
221,
226,
235,
237,
247,
249,
253,
254,
259,
262,
265,
267,
274,
278,
287,
289,
291,
295,
298,
299,
301,
302,
303,
305,
309,
314,
319,
321,
323,
326,
327,
329,
334,
335,
339,
341,
346,
355,
358,
361,
362,
365,
371,
377,
381,
382,
386,
391,
393,
394,
395,
398,
403,
407,
411,
413,
415,
417,
422,
427,
437,
445,
446,
447,
451,
453,
454,
458,
466,
469,
471,
473,
478,
481,
482,
485,
489,
493,
497,
501,
502,
505,
511,
514,
515,
517,
519,
526,
527,
529,
533,
535,
537,
538,
542,
543,
545,
551,
553,
554,
559,
562,
565,
566,
573,
579,
581,
583,
586,
589,
591,
597,
611,
614,
622,
623,
626,
629,
633,
634,
635,
649,
655,
662,
667,
669,
671,
674,
679,
681,
685,
687,
689,
694,
695,
697,
698,
699,
703,
706,
707,
713,
717,
718,
721,
723,
731,
734,
737,
745,
746,
749,
753,
755,
758,
763,
766,
767,
771,
778,
779,
781,
785,
789,
791,
793,
794,
799,
802,
803,
807,
813,
815,
817,
818,
831,
835,
838,
841,
842,
843,
849,
851,
862,
865,
866,
869,
871,
878,
879,
886,
889,
893,
895,
898,
899,
901,
905,
913,
914,
917,
921,
922,
923,
926,
933,
934,
939,
943,
949,
951,
955,
958,
959,
961,
965,
973,
974,
979,
982,
985,
989,
993,
995,
998,
1003,
1006,
1007,
1011,
1018,
1027,
1037,
1041,
1042,
1043,
1046,
1047,
1055,
1057,
1059,
1067,
1073,
1077,
1079,
1081,
1082,
1094,
1099,
1101,
1111,
1114,
1115,
1119,
1121,
1126,
1133,
1135,
1137,
1138,
1139,
1141,
1142,
1145,
1147,
1149,
1154,
1157,
1159,
1165,
1167,
1169,
1174,
1177,
1186,
1189,
1191,
1195,
1198,
1199,
1202,
1203,
1205,
1207,
1211,
1214,
1219,
1226,
1227,
1234,
1238,
1241,
1243,
1247,
1253,
1255,
1257,
1261,
1262,
1263,
1267,
1271,
1273,
1282,
1285,
1286,
1293,
1294,
1299,
1306,
1313,
1315,
1317,
1318,
1322,
1329,
1333,
1337,
1339,
1343,
1345,
1346,
1347,
1349,
1351,
1354,
1355,
1357,
1363,
1366,
1369,
1371,
1379,
1382,
1383,
1385,
1387,
1389,
1391,
1393,
1397,
1401,
1402,
1403,
1405,
1411,
1415,
1417,
1418,
1437,
1438,
1441,
1454,
1457,
1461,
1465,
1466,
1469,
1473,
1477,
1478,
1486,
1497,
1501,
1502,
1507,
1509,
1513,
1514,
1517,
1522,
1527,
1529,
1535,
1537,
1538,
1541,
1546,
1555,
1561,
1563,
1565,
1569,
1574,
1577,
1585,
1589,
1591,
1594,
1603,
1618,
1622,
1623,
1631,
1633,
1639,
1641,
1642,
1643,
1646,
1649,
1651,
1654,
1655,
1658,
1661,
1671,
1673,
1678,
1679,
1681,
1685,
1687,
1689,
1691,
1703,
1706,
1707,
1711,
1713,
1714,
1717,
1718,
1726,
1727,
1731,
1735,
1739,
1745,
1751,
1754,
1757,
1761,
1762,
1763,
1765,
1766,
1769,
1774,
1779,
1781,
1793,
1795,
1797,
1799,
1803,
1807,
1814,
1817,
1819,
1821,
1822,
1829,
1835,
1837,
1838,
1839,
1841,
1843,
1849,
1851,
1853,
1857,
1858,
1865,
1874,
1882,
1883,
1891,
1893,
1894,
1895,
1897,
1903,
1906,
1909,
1915,
1919,
1921,
1923,
1927,
1929,
1934,
1937,
1939,
1941,
1942,
1943,
1945,
1954,
1957,
1959,
1961,
1963,
1966,
1967,
1969,
1977,
1981,
1982,
1983,
1985,
1991,
1994,
2005,
2018,
2019,
2021,
2026,
2031,
2033,
2038,
2041,
2042,
2045,
2047,
2049,
2051,
2059,
2062,
2066,
2071,
2073,
2077,
2078,
2095,
2098.
Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 17427258 values, from 4 to 99999997).
n\r | 0 | 1 |
2 | 3001134 | 14426124 | 2 |
3 | 2050943 | 7688657 | 7687658 | 3 |
4 | 1 | 7213550 | 3001133 | 7212574 | 4 |
5 | 1270607 | 4039586 | 4038844 | 4038459 | 4039762 | 5 |
6 | 1 | 6188004 | 1500480 | 2050942 | 1500653 | 6187178 | 6 |
7 | 927432 | 2750583 | 2750154 | 2750174 | 2750241 | 2749712 | 2748962 | 7 |
8 | 0 | 3607451 | 1500452 | 3606013 | 1 | 3606099 | 1500681 | 3606561 | 8 |
9 | 1 | 2563260 | 2562417 | 1025180 | 2562401 | 2562741 | 1025762 | 2562996 | 2562500 | 9 |
10 | 1 | 3289191 | 750340 | 3288456 | 750395 | 1270606 | 750395 | 3288504 | 750003 | 3289367 | 10 |
11 | 608113 | 1682048 | 1681369 | 1682574 | 1682798 | 1681564 | 1682252 | 1680823 | 1681953 | 1682347 | 1681417 |
A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.