The first four prime numbers are 2, 3, 5, and 7. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
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Page 1 (1-1000). Page 2 (1001+).
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1001 (3.2) (23 + 5!) × 7 Pellegrini Paolo, 6/08 Martina Franca, Italy |
1002 (3.2) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1003 (2.4) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1004 (3.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1005 (3.0) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1006 (2.6) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1007 (2.4) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1008 (3.0) (5 – .2) × Pellegrini Paolo, 6/08 Martina Franca, Italy |
1009 (3.2) Steve Wilson, 3/07 Raytown, MO |
1010 (3.0) Pellegrini Paolo, 6/08 Martina Franca, Italy |
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1011 (3.4) 5!2 × 7% + 3 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1012 (3.4) (7! + 5) × .2 + 3 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1013 (3.2) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1014 (2.6) Pellegrini Paolo, 6/08 Martina Franca, Italy |
1015 (2.2) Dave Jones, 5/06 Coventry, England |
1016 (3.2) (5! + 7) × 23 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1017 (3.2) Ralph Jeffords, 9/07 Centreville, VA |
1019 (3.0) 27+3 – 5 Steve Wilson, 11/06 Raytown, MO |
1020 (3.4) Steve Wilson, 7/06 Raytown, MO |
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1022 (3.0) (7 – 3)5 – 2 Steve Wilson, 11/06 Raytown, MO |
1023 (3.4) 7! × .2 + 3 × 5 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1024 (3.0) (5 × 7 – 3)2 Robert Reid, 5/04 London, England |
1025 (2.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1026 (2.6) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1028 (3.6)![]() Pellegrini Paolo, 8/08 Martina Franca, Italy |
1029 (3.0) 27+3 + 5 Steve Wilson, 11/06 Raytown, MO |
1030 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
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1031 (3.2) Ralph Jeffords, 9/07 Centreville, VA |
1032 (3.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1033 (3.4) (53 + 7!) × .2 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1034 (3.8) 7! – Steve Wilson, 8/08 Raytown, MO |
1035 (2.2) Dave Jones, 5/06 Coventry, England |
1036 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1037 (3.6) 7! – Pellegrini Paolo, 8/08 Martina Franca, Italy |
1038 (3.4)![]() Pellegrini Paolo, 8/08 Martina Franca, Italy |
1040 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
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1042 (3.6) 7! – Pellegrini Paolo, 8/08 Martina Franca, Italy |
1043 (3.4) 7! × .2 + 35 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1044 (3.4) 5! × (3! + 2.7) Steve Wilson, 11/07 Raytown, MO |
1045 (2.2) 3 × Dave Jones, 5/06 Coventry, England |
1046 (3.8) 7! – Steve Wilson, 8/08 Raytown, MO |
1047 (3.0) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1048 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1049 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1050 (3.2) 7 × 3! × 25 Steve Wilson, 2/07 Raytown, MO |
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1051 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1052 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1053 (3.0) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1055 (2.2) 3 × Dave Jones, 5/06 Coventry, England |
1058 (3.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1059 (2.6) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1060 (2.2) Pellegrini Paolo, 8/08 Martina Franca, Italy |
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1061 (3.4) 7! × .2 + 53 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1062 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1063 (3.4) (3!)! + 75–2 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1064 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1065 (2.2) Dave Jones, 5/06 Coventry, England |
1066 (2.6) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1068 (3.6) 7! × .2 + Pellegrini Paolo, 8/08 Martina Franca, Italy |
1069 (3.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1070 (3.6) 3! × 5! + Steve Wilson, 7/06 Raytown, MO |
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1072 (3.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1073 (2.6) 2 × Pellegrini Paolo, 8/08 Martina Franca, Italy |
1074 (2.0) 537 × 2 Dave Jones, 5/06 Coventry, England |
1075 (2.4) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1077 (3.2) 5! × (2 + 7) – 3 Pellegrini Paolo, 8/08 Martina Franca, Italy |
1078 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1080 (2.0) 72 × 3 × 5 Dave Jones, 5/06 Coventry, England |
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1082 (2.8) Pellegrini Paolo, 8/08 Martina Franca, Italy |
1083 (3.0) Tina Redlinger, 8/07 Olathe, KS |
1084 (3.4) (3!)! + 52 × 7 Steve Wilson, 7/06 Raytown, MO |
1085 (2.2) Dave Jones, 5/06 Coventry, England |
1086 (3.4) 5! × (2 + 7) + 3! Steve Wilson, 8/08 Raytown, MO |
1087 (2.6) 2 × Steve Wilson, 8/08 Raytown, MO |
1090 (3.6) Steve Wilson, 10/06 Raytown, MO |
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1092 (2.0) 52 × 3 × 7 Dave Jones, 5/06 Coventry, England |
1094 (2.6) Steve Wilson, 8/08 Raytown, MO |
1095 (3.6) (3!)! + Steve Wilson, 7/06 Raytown, MO |
1098 (2.8) Steve Wilson, 8/08 Raytown, MO |
1100 (2.2) Dave Jones, 5/06 Coventry, England |
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1101 (2.6) Steve Wilson, 8/08 Raytown, MO |
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1120 (2.0) 32 × 5 × 7 Dave Jones, 5/06 Coventry, England |
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1125 (2.2) 75 × Dave Jones, 5/06 Coventry, England |
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1144 (3.2) 27+3 + 5! Steve Wilson, 11/06 Raytown, MO |
1146 (2.0) 573 × 2 Josh Brown, 6/04 Lawrence, KS |
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1184 (3.0) 25 × 37 Adam McAdoo, 4/05 Lenexa, KS |
1185 (2.0) 237 × 5 Dave Jones, 5/06 Coventry, England |
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1200 (2.2) 72 × Dave Jones, 5/06 Coventry, England |
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1218 (3.0) 352 – 7 Joseph Mavungu, 5/03 Olathe, KS |
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1225 (2.2) 35 × Dave Jones, 5/06 Coventry, England |
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1232 (3.0) 352 + 7 Tim Murphy, 5/03 Olathe, KS |
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1249 (3.2) 372 – 5! Steve Wilson, 11/06 Raytown, MO |
1250 (2.2) Dave Jones, 5/06 Coventry, England |
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1260 (2.6) Steve Wilson, 8/08 Raytown, MO |
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1300 (2.2) Dave Jones, 5/06 Coventry, England |
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1311 (2.0) 23 × 57 Joseph Mavungu, 3/03 Olathe, KS |
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1364 (3.0) 372 – 5 Steve Wilson, 11/06 Raytown, MO |
1365 (2.0) 273 × 5 Dave Jones, 5/06 Coventry, England |
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1374 (3.0) 372 + 5 Steve Wilson, 11/06 Raytown, MO |
1380 (2.2) Dave Jones, 5/06 Coventry, England |
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1400 (2.2) Dave Jones, 5/06 Coventry, England |
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1420 (2.2) Dave Jones, 6/06 Coventry, England |
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1431 (2.0) 27 × 53 Dave Jones, 6/06 Coventry, England |
1437 (2.2) Dave Jones, 6/06 Coventry, England |
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1443 (2.2) Dave Jones, 6/06 Coventry, England |
1446 (2.2) Dave Jones, 6/06 Coventry, England |
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1458 (2.2) Dave Jones, 6/06 Coventry, England |
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1462 (2.2) Dave Jones, 6/06 Coventry, England |
1464 (2.2) Dave Jones, 6/06 Coventry, England |
1470 (2.0) 2 × 735 Gunnar Gnad, 12/04 Luxembourg, Luxembourg |
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1480 (2.2) 37 × Dave Jones, 6/06 Coventry, England |
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1482 (2.6) Dave Jones, 3/07 Coventry, England |
1489 (3.2) 372 + 5! Steve Wilson, 11/06 Raytown, MO |
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1500 (2.2) (2 + 7) × Dave Jones, 6/06 Coventry, England |
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1506 (2.0) 753 × 2 Tim Murphy, 5/03 Olathe, KS |
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1512 (3.2) Gunnar Gnad, 12/04 Luxembourg, Luxembourg |
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1575 (3.0) (3 × 5)2 × 7 David Caton, 10/04 Shawnee, KS |
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1581 (2.0) 527 × 3 Josh Brown, 7/04 Lawrence, KS |
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1599 (5.0) 57C2 + 3 Lucas Rodriguez, 12/04 Lenexa, KS |
1600 (2.2) Dave Jones, 7/06 Coventry, England |
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1610 (2.8) Steve Wilson, 11/07 Raytown, MO |
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1620 (2.2) Dave Jones, 7/06 Coventry, England |
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1635 (2.0) 327 × 5 Dave Jones, 7/06 Coventry, England |
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1645 (2.0) 235 × 7 John Kite, 3/03 Lenexa, KS |
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| 1687 (3.0) (35 – 2) × 7 Steve Wilson, 2/07 Raytown, MO |
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| 1699 (3.0) 35 × 7 – 2 Steve Wilson, 2/07 Raytown, MO |
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| 1703 (3.0) 35 × 7 + 2 Steve Wilson, 2/07 Raytown, MO |
1705 (3.0) (73 – 2) × 5 Steve Wilson, 2/07 Raytown, MO |
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1713 (3.0) 73 × 5 – 2 Bridget Osei-Bonsu, 10/04 Lenexa, KS |
1714 (3.2) (73 – .2) × 5 Steve Wilson, 2/07 Raytown, MO |
1715 (3.0) 35 × 72 Katie Cooper, 9/04 Stilwell, KS |
1716 (2.0) 572 × 3 Josh Brown, 7/04 Lawrence, KS |
1717 (3.0) 73 × 5 + 2 Bridget Osei-Bonsu, 10/04 Lenexa, KS |
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1725 (2.0) 23 × 75 Dave Jones, 7/06 Coventry, England |
1728
(3.2) ( Kimberly Grosdidier, 12/05 Eudora, KS |
1729 (2.2) Dave Jones, 7/06 Coventry, England |
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1735 (2.2) Dave Jones, 7/06 Coventry, England |
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1743 (2.2) Dave Jones, 7/06 Coventry, England |
1747 (2.2) 7 × Dave Jones, 7/06 Coventry, England |
1750 (3.0) 53 × 2 × 7 Steve Wilson, 2/07 Raytown, MO |
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1753 (2.2) 7 × Dave Jones, 7/06 Coventry, England |
1757 (2.2) Dave Jones, 7/06 Coventry, England |
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1765 (2.2) Dave Jones, 7/06 Coventry, England |
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1771 (2.0) 253 × 7 Dave Jones, 7/06 Coventry, England |
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1785 (2.2) Dave Jones, 7/06 Coventry, England |
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1800 (2.2) Dave Jones, 7/06 Coventry, England |
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1824 (2.0) 57 × 32 Joseph Mavungu, 5/03 Olathe, KS |
1825 (2.0) 25 × 73 Dave Jones, 8/06 Coventry, England |
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1845 (2.2) Dave Jones, 10/06 Coventry, England |
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1855 (2.2) Dave Jones, 10/06 Coventry, England |
1860 (2.0) 372 × 5 Dave Jones, 8/06 Coventry, England |
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1875 (2.2) Dave Jones, 10/06 Coventry, England |
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1898 (2.2) Dave Jones, 10/06 Coventry, England |
1900 (2.2) Dave Jones, 2/07 Coventry, England |
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1902 (2.2) Dave Jones, 10/06 Coventry, England |
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1920 (3.0) 27 × 5 × 3 Cate Henderson, 3/05 Merriam, KS |
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| 1924 (2.0) 52 × 37 Cate Henderson, 5/05 Merriam, KS |
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2097 (2.6) Dave Jones, 3/07 Coventry, England |
2100 (2.2) Dave Jones, 2/07 Coventry, England |
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| 2135 (3.0) 37 – 52 Steve Wilson, 2/07 Raytown, MO |
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2155 (3.0) 37 – 25 Ron Palcic, 9/04 Olathe, KS |
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2162 (3.0) 37 – 52 Brooke Jones, 3/04 Olathe, KS |
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2175 (2.0) 725 × 3 Josh Brown, 7/04 Lawrence, KS |
2177 (3.0) 37 – 2 × 5 Steve Wilson, 2/07 Raytown, MO |
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| 2184 (3.0) 37 + 2 – 5 Steve Wilson, 2/07 Raytown, MO |
2186 (3.2) 37 – 2 × .5 Steve Wilson, 2/07 Raytown, MO |
2187 (3.2) 37 × 2 × .5 Steve Wilson, 2/07 Raytown, MO |
2188 (3.2) 37 + 2 × .5 Steve Wilson, 2/07 Raytown, MO |
2190 (3.0) 37 – 2 + 5 Steve Wilson, 2/07 Raytown, MO |
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2194 (3.0) 37 + 2 + 5 Steve Wilson, 2/07 Raytown, MO |
2197 (3.0) 37 + 5 × 2 Brooke Jones, 3/04 Olathe, KS |
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2212 (3.0) 37 + 25 Steve Wilson, 2/07 Raytown, MO |
2219 (3.0) 25 + 37 Bridget Osei-Bonsu, 11/04 Lenexa, KS |
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| 2239 (3.0) 37 + 52 Steve Wilson, 2/07 Raytown, MO |
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2256 (2.0) 752 × 3 Josh Brown, 7/04 Lawrence, KS |
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2275 (2.0) 325 × 7 Dave Jones, 8/06 Coventry, England |
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| 2300 (2.2) Dave Jones, 2/07 Coventry, England |
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2309 (3.2) 37 + 2 + 5! Brooke Jones, 5/04 Olathe, KS |
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2336 (3.0) 25 × 73 Brittney King, 11/07 Olathe, KS |
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2357 (2.0) 2357 Dave Jones, 8/06 Coventry, England |
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2375 (2.0) 2375 Dave Jones, 8/06 Coventry, England |
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2395 (2.2) Dave Jones, 10/06 Coventry, England |
2396 (3.2) 73!–2 – 5 Phaedra Dowell, 4/05 Roeland Park, KS |
2400 (2.0) 75 × 32 Katie Cooper, 9/04 Stilwell, KS |
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2401 (3.0) 75+2–3 Robert Reid, 5/04 London, England |
2405 (2.2) Dave Jones, 10/06 Coventry, England |
2406 (3.2) 73!–2 + 5 Phaedra Dowell, 4/05 Roeland Park, KS |
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2464 (2.0) 352 × 7 Dave Jones, 8/06 Coventry, England |
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2498 (2.2) Dave Jones, 10/06 Coventry, England |
2500 (2.2) Dave Jones, 2/07 Coventry, England |
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2502 (2.2) Dave Jones, 10/06 Coventry, England |
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2520 (2.0) 35 × 72 Joseph Mavungu, 5/03 Olathe, KS |
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2537 (2.0) 2537 Dave Jones, 8/06 Coventry, England |
2540 (3.6) Brooke Jones, 5/04 Olathe, KS |
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2573 (2.0) 2573 Dave Jones, 8/06 Coventry, England |
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2623 (5.0) 73C2 – 5 Lucas Rodriguez, 12/04 Lenexa, KS |
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2643 (2.2) Dave Jones, 10/06 Coventry, England |
2646 (3.6) 3! + 5! + Sydney Barker, 5/03 Stilwell, KS |
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2657 (2.2) Dave Jones, 10/06 Coventry, England |
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2685 (2.2) Dave Jones, 10/06 Coventry, England |
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| 2700 (2.2) Dave Jones, 2/07 Coventry, England |
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2735 (2.0) 2735 Dave Jones, 8/06 Coventry, England |
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2744 (3.0) (7 + 5 + 2)3 Bridget Osei-Bonsu, 9/04 Lenexa, KS |
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2753 (2.0) 2753 Dave Jones, 8/06 Coventry, England |
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2800 (2.2) Dave Jones, 2/07 Coventry, England |
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2802
(3.0) 532 – 7 Zach Burger, 4/05 Overland Park, KS |
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2847 (2.2) Dave Jones, 10/06 Coventry, England |
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2853 (2.2) Dave Jones, 10/06 Coventry, England |
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2865 (2.2) Dave Jones, 10/06 Coventry, England |
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2920 (2.2) 73 × Dave Jones, 10/06 Coventry, England |
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| 3000 (2.2) Dave Jones, 2/07 Coventry, England |
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| 3220 (2.2) Dave Jones, 2/07 Coventry, England |
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3257 (2.0) 3257 Dave Jones, 8/06 Coventry, England |
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3275 (2.0) 3275 Dave Jones, 8/06 Coventry, England |
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| 3400 (2.2) Dave Jones, 2/07 Coventry, England |
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3402 (3.0) 35 × 7 × 2 Steve Wilson, 2/07 Raytown, MO |
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3430 (3.0) 73 × 5 × 2 Bridget Osei-Bonsu, 10/04 Lenexa, KS |
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3506 (2.6) Dave Jones, 3/07 Coventry, England |
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3527 (2.0) 3527 Dave Jones, 8/06 Coventry, England |
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3572 (2.0) 3572 Dave Jones, 8/06 Coventry, England |
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3600 (2.2) Dave Jones, 2/07 Coventry, England |
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3615 (2.0) 723 × 5 Dave Jones, 8/06 Coventry, England |
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| 3645 (2.2) Dave Jones, 2/07 Coventry, England |
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3655 (2.2) Dave Jones, 2/07 Coventry, England |
3660 (2.0) 732 × 5 Dave Jones, 8/06 Coventry, England |
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3661 (2.0) 523 × 7 Dave Jones, 8/06 Coventry, England |
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| 3675 (2.2) Dave Jones, 2/07 Coventry, England |
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3724 (2.0) 532 × 7 Dave Jones, 8/06 Coventry, England |
3725 (2.0) 3725 Dave Jones, 8/06 Coventry, England |
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| 3747 (2.2) Dave Jones, 2/07 Coventry, England |
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3752 (2.0) 3752 Dave Jones, 8/06 Coventry, England |
3753 (2.2) Dave Jones, 2/07 Coventry, England |
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| 3765 (2.2) Dave Jones, 2/07 Coventry, England |
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3796 (2.0) 52 × 73 Dave Jones, 8/06 Coventry, England |
3800 (2.2) Dave Jones, 2/07 Coventry, England |
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| 3816 (2.0) 72 × 53 Cate Henderson, 5/05 Merriam, KS |
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| 3900 (2.2) Dave Jones, 2/07 Coventry, England |
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| 4320 (2.2) Dave Jones, 2/07 Coventry, England |
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4375 (3.2) 53!–2 × 7 Phaedra Dowell, 4/05 Roeland Park, KS |
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| 4480 (2.2) Dave Jones, 2/07 Coventry, England |
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| 4500 (2.2) Dave Jones, 2/07 Coventry, England |
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| 4740 (2.2) Dave Jones, 2/07 Coventry, England |
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4807 (5.0) Lucas Rodriguez, 12/04 Lenexa, KS |
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4912 (3.6) 7! – 5! – 3! – 2 Brooke Jones, 4/04 Olathe, KS |