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Pandiagonal Magic Squares of Prime Numbers


The Pandiagonal Magic Squares of Prime Numbers contest has ended. Congratulations to our winners:

Position Winner Prize
1st Jarek Wroblewski Wroclaw, Poland Fifty United States Dollars
2nd Dmitry Kamenetsky Adelaide, Australia Bragging Rights


These are the contestants who submitted the best solution for each problem. (Problems for which the best solution was found during the first 48 hours of the contest are omitted.)

Problem Score Solver Date Achieved
7 x 7 769 Jarek Wroblewski Wroclaw, Poland 4 Aug 2013 03:26
8 x 8 1248 Jarek Wroblewski Wroclaw, Poland 16 Aug 2013 03:09
9 x 9 2025 Jarek Wroblewski Wroclaw, Poland 16 Jul 2013 18:12
10 x 10 2850 Jarek Wroblewski Wroclaw, Poland 12 Aug 2013 02:14
11 x 11 4199 Jarek Wroblewski Wroclaw, Poland 11 Jul 2013 02:11
12 x 12 5544 Jarek Wroblewski Wroclaw, Poland 17 Aug 2013 03:07
13 x 13 7631 Jarek Wroblewski Wroclaw, Poland 18 Aug 2013 18:30
14 x 14 9170 Jarek Wroblewski Wroclaw, Poland 10 Jul 2013 04:04
15 x 15 12645 Jarek Wroblewski Wroclaw, Poland 20 Jul 2013 04:17
16 x 16 13440 Jarek Wroblewski Wroclaw, Poland 18 Aug 2013 03:10
17 x 17 19493 Jarek Wroblewski Wroclaw, Poland 12 Jul 2013 09:48
18 x 18 22410 Jarek Wroblewski Wroclaw, Poland 13 Aug 2013 01:57
19 x 19 28439 Jarek Wroblewski Wroclaw, Poland 13 Jul 2013 15:32
20 x 20 29700 Jarek Wroblewski Wroclaw, Poland 14 Aug 2013 17:26


These are the best solutions received for each problem in the contest:

Problem Score Solution
6 x 6 450 (3, 5, 89, 137, 67, 149), (109, 83, 103, 101, 37, 17), (73, 79, 41, 71, 47, 139), (107, 97, 43, 53, 131, 19), (31, 23, 167, 59, 157, 13), (127, 163, 7, 29, 11, 113)
(3, 37, 151, 113, 67, 79), (53, 89, 61, 43, 73, 131), (109, 181, 11, 71, 19, 59), (5, 29, 23, 179, 167, 47), (173, 97, 101, 31, 41, 7), (107, 17, 103, 13, 83, 127)
7 x 7 769 (3, 47, 139, 227, 173, 127, 53), (191, 113, 179, 71, 11, 7, 197), (211, 79, 59, 151, 157, 89, 23), (5, 107, 31, 163, 97, 199, 167), (83, 263, 19, 73, 181, 13, 137), (37, 131, 281, 67, 109, 101, 43), (239, 29, 61, 17, 41, 233, 149)
8 x 8 1248 (5, 37, 107, 157, 229, 311, 271, 131), (73, 239, 397, 173, 197, 13, 113, 43), (293, 313, 11, 97, 181, 149, 103, 101), (223, 83, 151, 71, 53, 241, 233, 193), (167, 127, 179, 31, 277, 317, 61, 89), (67, 59, 139, 281, 269, 109, 17, 307), (137, 349, 257, 211, 19, 29, 199, 47), (283, 41, 7, 227, 23, 79, 251, 337)
9 x 9 2025 (3, 97, 179, 109, 107, 71, 283, 599, 577), (103, 257, 263, 61, 389, 409, 131, 239, 173), (89, 311, 467, 41, 401, 79, 11, 433, 193), (113, 491, 197, 251, 359, 127, 199, 149, 139), (53, 191, 223, 19, 229, 499, 181, 337, 293), (691, 269, 157, 227, 37, 67, 353, 151, 73), (167, 31, 7, 443, 163, 379, 457, 29, 349), (439, 241, 101, 641, 59, 47, 397, 83, 17), (367, 137, 431, 233, 281, 347, 13, 5, 211)
10 x 10 2850 (5, 13, 331, 139, 449, 607, 281, 461, 401, 163), (181, 509, 239, 419, 211, 71, 31, 157, 541, 491), (503, 43, 409, 367, 431, 7, 101, 197, 479, 313), (103, 227, 311, 347, 307, 359, 601, 109, 97, 389), (557, 67, 79, 613, 251, 37, 317, 89, 179, 661), (283, 149, 353, 137, 199, 641, 421, 349, 127, 191), (293, 61, 379, 229, 59, 769, 41, 593, 233, 193), (571, 881, 17, 29, 241, 173, 487, 151, 277, 23), (131, 643, 463, 457, 263, 19, 47, 11, 443, 373), (223, 257, 269, 113, 439, 167, 523, 733, 73, 53)
11 x 11 4199 (5, 263, 773, 397, 757, 191, 43, 719, 523, 109, 419), (383, 661, 601, 107, 211, 677, 313, 877, 281, 41, 47), (151, 389, 71, 229, 139, 1093, 197, 431, 659, 29, 811), (547, 433, 97, 907, 73, 193, 227, 167, 331, 283, 941), (439, 641, 137, 823, 541, 53, 569, 13, 563, 271, 149), (509, 269, 157, 409, 367, 127, 739, 61, 401, 673, 487), (311, 101, 19, 373, 751, 701, 503, 457, 31, 929, 23), (7, 691, 743, 199, 443, 613, 103, 251, 113, 863, 173), (449, 67, 467, 379, 277, 131, 557, 521, 317, 853, 181), (821, 223, 1051, 359, 293, 257, 179, 349, 337, 89, 241), (577, 461, 83, 17, 347, 163, 769, 353, 643, 59, 727)
12 x 12 5544 (5, 101, 887, 503, 281, 457, 523, 13, 1609, 7, 571, 587), (607, 241, 193, 61, 277, 953, 863, 797, 29, 509, 131, 883), (197, 971, 683, 359, 563, 151, 19, 907, 211, 283, 223, 977), (643, 1039, 73, 181, 829, 17, 743, 263, 347, 983, 59, 367), (839, 701, 293, 107, 149, 877, 673, 577, 439, 79, 727, 83), (331, 271, 1327, 139, 433, 1259, 11, 401, 467, 491, 257, 157), (23, 641, 41, 311, 647, 127, 109, 1033, 499, 739, 547, 827), (199, 229, 1063, 337, 349, 71, 1163, 113, 269, 431, 911, 409), (1019, 167, 227, 1229, 569, 97, 691, 103, 769, 43, 397, 233), (37, 163, 313, 1303, 463, 461, 89, 353, 239, 1193, 389, 541), (653, 599, 137, 191, 47, 757, 67, 733, 487, 613, 811, 449), (991, 421, 307, 823, 937, 317, 593, 251, 179, 173, 521, 31)
13 x 13 7631 (5, 109, 383, 967, 701, 61, 509, 773, 257, 337, 1783, 1303, 443), (1283, 809, 13, 853, 229, 317, 1259, 751, 347, 691, 23, 997, 59), (73, 677, 43, 101, 1279, 191, 2081, 11, 127, 769, 241, 1217, 821), (521, 661, 367, 499, 131, 947, 571, 941, 811, 227, 541, 617, 797), (89, 1039, 1061, 1993, 461, 587, 233, 457, 31, 193, 479, 179, 829), (313, 307, 631, 251, 173, 907, 653, 199, 1699, 1109, 239, 197, 953), (757, 569, 643, 167, 113, 863, 151, 683, 331, 719, 79, 1237, 1319), (397, 613, 839, 761, 433, 29, 577, 1201, 1021, 547, 937, 269, 7), (881, 1009, 929, 563, 971, 283, 379, 211, 1033, 727, 103, 19, 523), (463, 107, 389, 607, 1013, 439, 491, 601, 157, 1193, 1607, 401, 163), (823, 281, 1583, 17, 97, 1069, 409, 83, 1229, 599, 37, 373, 1031), (467, 593, 487, 503, 1291, 1019, 271, 1361, 311, 449, 139, 673, 67), (1559, 857, 263, 349, 739, 919, 47, 359, 277, 71, 1423, 149, 619)
14 x 14 9170 (7, 503, 719, 229, 127, 199, 1567, 353, 29, 593, 809, 1039, 1327, 1669), (647, 521, 31, 251, 571, 761, 811, 373, 1381, 283, 197, 673, 947, 1723), (877, 1163, 1499, 659, 179, 709, 457, 1129, 367, 653, 293, 19, 547, 619), (1291, 103, 1367, 13, 17, 1093, 467, 641, 1051, 941, 181, 1151, 211, 643), (67, 859, 577, 443, 1259, 1429, 37, 409, 757, 383, 1289, 233, 599, 829), (151, 1811, 1321, 1031, 601, 823, 1021, 523, 317, 163, 827, 43, 347, 191), (727, 109, 967, 587, 929, 53, 149, 769, 1087, 1459, 853, 743, 239, 499), (167, 463, 857, 613, 47, 101, 661, 461, 331, 1571, 1531, 1153, 991, 223), (449, 379, 157, 1249, 907, 113, 479, 739, 1237, 139, 937, 1193, 419, 773), (241, 881, 631, 1489, 1171, 313, 677, 883, 137, 1063, 821, 41, 541, 281), (1949, 1009, 277, 1069, 787, 683, 269, 83, 89, 439, 97, 1279, 1117, 23), (887, 733, 107, 701, 1621, 71, 691, 401, 61, 433, 421, 1213, 797, 1033), (509, 563, 389, 349, 397, 1399, 1627, 1103, 1019, 919, 307, 79, 337, 173), (1201, 73, 271, 487, 557, 1423, 257, 1303, 1307, 131, 607, 311, 751, 491)
15 x 15 12645 (3, 173, 41, 1657, 101, 2153, 1601, 719, 479, 691, 1453, 521, 317, 1277, 1459), (193, 2551, 31, 229, 1597, 23, 1723, 37, 29, 601, 379, 277, 2113, 2203, 659), (1523, 647, 1213, 1103, 631, 937, 167, 883, 709, 2239, 509, 1229, 47, 191, 617), (761, 2137, 607, 557, 733, 1499, 971, 179, 353, 439, 1061, 1889, 811, 227, 421), (587, 151, 2341, 863, 1069, 1621, 757, 941, 701, 1123, 683, 17, 1381, 103, 307), (743, 11, 569, 523, 839, 263, 1093, 2459, 79, 953, 1151, 1289, 233, 1427, 1013), (2099, 5, 571, 197, 199, 1153, 1279, 1091, 109, 673, 1811, 311, 1321, 1489, 337), (431, 2087, 1051, 1571, 349, 331, 503, 71, 1259, 619, 367, 1433, 1399, 401, 773), (577, 1447, 347, 1877, 1039, 13, 419, 1181, 1663, 857, 491, 463, 131, 653, 1487), (907, 269, 967, 409, 1831, 727, 977, 1607, 1019, 149, 139, 1063, 67, 1283, 1231), (107, 373, 983, 257, 1171, 643, 599, 281, 1367, 211, 1907, 1823, 1559, 487, 877), (1867, 397, 751, 1291, 449, 53, 929, 1787, 1949, 127, 389, 61, 7, 919, 1669), (1531, 313, 241, 821, 997, 1999, 223, 1049, 1033, 1451, 73, 641, 1163, 859, 251), (547, 613, 2339, 823, 1543, 947, 383, 271, 137, 443, 1201, 19, 2053, 239, 1087), (769, 1471, 593, 467, 97, 283, 1021, 89, 1759, 2069, 1031, 1609, 43, 887, 457)
16 x 16 13440 (7, 109, 467, 829, 1423, 349, 1607, 1129, 197, 701, 1483, 401, 827, 1997, 613, 1301), (127, 809, 1567, 419, 547, 509, 37, 1409, 1823, 2011, 503, 31, 743, 691, 1277, 937), (1847, 1031, 1453, 1361, 1487, 641, 523, 491, 1153, 1039, 137, 1699, 73, 79, 47, 379), (53, 1531, 263, 211, 773, 1741, 1103, 241, 277, 569, 1297, 89, 1867, 1049, 1087, 1289), (643, 1579, 677, 1609, 283, 1459, 1097, 859, 617, 11, 1033, 881, 1637, 191, 733, 131), (1747, 1229, 577, 479, 1237, 359, 877, 719, 563, 601, 293, 1231, 1193, 151, 233, 1951), (1217, 101, 163, 41, 317, 761, 433, 281, 1123, 769, 947, 2029, 1543, 1249, 977, 1489), (683, 811, 983, 541, 1493, 661, 863, 1381, 157, 1499, 607, 1319, 1447, 269, 487, 239), (1663, 739, 857, 1669, 853, 139, 1307, 499, 647, 1511, 43, 431, 887, 911, 463, 821), (97, 179, 1657, 2069, 457, 839, 997, 449, 1523, 991, 383, 751, 23, 1171, 1583, 271), (17, 311, 1093, 521, 1427, 1871, 1303, 1601, 1723, 1069, 557, 19, 373, 619, 227, 709), (443, 331, 173, 1801, 113, 61, 1223, 1051, 967, 29, 2287, 1619, 787, 389, 727, 1439), (883, 1759, 797, 229, 823, 439, 257, 919, 587, 71, 223, 251, 1367, 1571, 1783, 1481), (2557, 1259, 907, 1019, 367, 929, 337, 149, 83, 421, 953, 1021, 353, 1291, 1163, 631), (347, 1091, 1213, 461, 107, 1061, 193, 941, 673, 1549, 2297, 1009, 13, 199, 1973, 313), (1109, 571, 593, 181, 1733, 1621, 1283, 1321, 1327, 599, 397, 659, 307, 1613, 67, 59)
17 x 17 19493 (5, 149, 641, 2689, 2417, 521, 271, 1667, 523, 907, 2309, 1663, 37, 3191, 967, 1297, 239), (937, 2087, 467, 941, 809, 1783, 911, 3299, 757, 1487, 607, 1423, 569, 211, 79, 983, 2143), (2129, 1123, 2017, 587, 2711, 167, 503, 19, 3011, 113, 1249, 389, 829, 1117, 53, 1093, 2383), (1033, 1051, 863, 1669, 157, 977, 1259, 719, 761, 13, 197, 2237, 2833, 2699, 1069, 1129, 827), (97, 593, 991, 1933, 2297, 331, 739, 353, 1979, 41, 1607, 643, 137, 443, 1873, 2549, 2887), (1877, 577, 1429, 11, 223, 463, 1973, 1999, 1489, 563, 2039, 929, 3539, 919, 461, 401, 601), (1217, 1453, 1439, 2347, 373, 2027, 1171, 877, 1049, 1549, 61, 2441, 1571, 1433, 89, 337, 59), (673, 3083, 1511, 283, 1913, 1321, 487, 1697, 103, 1741, 653, 997, 1459, 683, 1193, 1277, 419), (311, 1427, 2521, 1523, 23, 1579, 257, 307, 769, 1373, 367, 1447, 1229, 1567, 1279, 2411, 1103), (599, 701, 881, 83, 1693, 1481, 1993, 1637, 2069, 3001, 1879, 47, 127, 1597, 659, 499, 547), (541, 2467, 1031, 2267, 73, 1327, 1747, 269, 1213, 1231, 1061, 1621, 397, 1163, 1753, 109, 1223), (199, 191, 2161, 1283, 1187, 1009, 409, 743, 797, 2663, 1931, 229, 1097, 1021, 151, 3119, 1303), (1733, 1657, 751, 379, 3373, 1831, 421, 1039, 479, 647, 139, 1013, 17, 1801, 2693, 859, 661), (613, 733, 317, 241, 1319, 181, 1201, 433, 857, 2753, 347, 2207, 2137, 887, 1871, 619, 2777), (3259, 1361, 2083, 349, 449, 43, 1867, 173, 1471, 1087, 2273, 821, 431, 251, 1531, 1811, 233), (2861, 383, 31, 2801, 163, 2029, 1493, 2251, 67, 131, 1291, 277, 953, 71, 2213, 491, 1987), (1409, 457, 359, 107, 313, 2423, 2791, 2011, 2099, 193, 1483, 1109, 2131, 439, 1559, 509, 101)
18 x 18 22410 (5, 1117, 2857, 457, 1481, 1439, 409, 571, 1931, 421, 3041, 47, 3209, 229, 607, 953, 599, 3037), (1423, 2207, 29, 887, 2767, 613, 1979, 233, 919, 2111, 157, 1567, 331, 1223, 1361, 2803, 13, 1787), (1553, 661, 2389, 859, 17, 149, 1087, 3391, 2753, 79, 1949, 101, 1709, 3109, 1747, 293, 251, 313), (97, 881, 1193, 653, 1249, 2113, 773, 53, 2683, 983, 487, 1609, 2179, 509, 1877, 1093, 2551, 1427), (227, 2011, 1471, 499, 419, 1613, 2593, 3019, 557, 601, 317, 11, 587, 1153, 2503, 1049, 929, 2851), (1297, 2999, 353, 2069, 2221, 1723, 383, 239, 1279, 2339, 67, 1069, 2539, 1511, 389, 1291, 73, 569), (191, 907, 283, 3181, 359, 1583, 1663, 2203, 1097, 109, 1187, 2003, 1109, 1777, 811, 2213, 1571, 163), (277, 2657, 71, 2099, 2689, 1801, 521, 2297, 937, 173, 181, 223, 2029, 2417, 941, 1627, 1039, 431), (3491, 307, 61, 853, 659, 1607, 643, 103, 827, 1231, 401, 863, 2129, 1009, 967, 2243, 1499, 3517), (1951, 113, 2963, 563, 1621, 757, 2309, 137, 823, 3947, 1033, 1237, 271, 1091, 41, 199, 2707, 647), (593, 541, 37, 2137, 89, 1997, 2161, 1867, 839, 2311, 83, 2819, 1433, 631, 1699, 701, 2441, 31), (547, 257, 1103, 1373, 769, 991, 443, 2633, 151, 911, 1993, 439, 2371, 3881, 1307, 877, 1861, 503), (2549, 1171, 1051, 1789, 2621, 467, 211, 1129, 761, 751, 5039, 1277, 449, 739, 349, 1289, 59, 709), (463, 1451, 2609, 1973, 1933, 337, 2081, 617, 3373, 23, 241, 1831, 127, 263, 347, 1381, 1549, 1811), (2957, 1399, 433, 373, 1163, 1409, 397, 1657, 1319, 43, 857, 3023, 179, 727, 1693, 1013, 971, 2797), (1303, 1871, 1151, 1847, 7, 523, 311, 131, 787, 3911, 1753, 1597, 19, 479, 2459, 1453, 2347, 461), (2039, 1579, 2269, 691, 2153, 2711, 1759, 1321, 491, 1669, 977, 641, 743, 139, 619, 719, 1217, 673), (1447, 281, 2087, 107, 193, 577, 2687, 809, 883, 797, 2647, 2053, 997, 1523, 2693, 1213, 733, 683)
19 x 19 28439 (5, 883, 2539, 3209, 223, 2719, 1823, 443, 673, 2389, 3571, 359, 1231, 3343, 1637, 1123, 47, 349, 1873), (2647, 743, 1069, 97, 317, 1559, 1607, 1217, 2251, 5039, 439, 587, 191, 1567, 761, 1453, 3541, 971, 2383), (1051, 1021, 1709, 4091, 2141, 2393, 139, 23, 89, 2239, 1163, 1801, 1571, 1249, 3259, 1373, 421, 2113, 593), (1103, 1499, 839, 1889, 2371, 2411, 1787, 2833, 509, 7, 4013, 37, 1699, 1439, 613, 1933, 1289, 1039, 1129), (2789, 5147, 1459, 1553, 617, 241, 2729, 1327, 863, 1483, 733, 947, 1447, 1303, 683, 1321, 997, 1913, 887), (991, 449, 2099, 3613, 953, 1033, 293, 463, 1471, 2837, 2689, 2287, 3323, 1753, 43, 263, 2621, 827, 431), (2897, 3061, 107, 1291, 137, 1093, 3229, 2081, 2677, 181, 1277, 2137, 811, 269, 1433, 1019, 719, 937, 3083), (2003, 1213, 1619, 601, 1489, 101, 859, 631, 389, 2797, 379, 5813, 1871, 2459, 149, 1693, 2633, 311, 1429), (4271, 1759, 1549, 59, 1627, 211, 1367, 2953, 619, 1259, 197, 3449, 1601, 1723, 647, 2591, 1087, 563, 907), (2767, 173, 277, 1657, 281, 367, 2281, 3191, 1949, 1283, 1487, 1861, 1613, 1361, 67, 1721, 2467, 167, 3469), (31, 4861, 1097, 331, 1153, 2861, 1901, 227, 1307, 1423, 3863, 29, 103, 1481, 787, 251, 3079, 2671, 983), (41, 1399, 193, 2699, 1061, 1877, 2087, 1789, 2927, 701, 2659, 821, 2473, 599, 3559, 877, 1451, 499, 727), (1297, 3221, 3989, 1223, 1997, 271, 503, 383, 2089, 881, 19, 857, 163, 2011, 2477, 1783, 457, 1697, 3121), (257, 17, 4463, 739, 1319, 2207, 3019, 179, 2917, 2063, 409, 2293, 1427, 823, 127, 1031, 313, 2707, 2129), (641, 109, 521, 809, 3187, 83, 61, 3167, 2269, 757, 677, 691, 1531, 11, 3823, 4003, 569, 3089, 2441), (479, 353, 3181, 53, 1951, 2687, 3307, 3631, 1979, 433, 2053, 491, 487, 1237, 467, 1151, 1193, 2909, 397), (577, 911, 151, 2339, 2593, 709, 419, 2731, 2753, 523, 1609, 1663, 2963, 1187, 3617, 1013, 1621, 929, 131), (1741, 653, 1117, 2029, 113, 1669, 829, 229, 307, 547, 919, 2083, 2027, 2381, 4051, 1493, 2843, 2749, 659), (2851, 967, 461, 157, 4909, 3947, 199, 941, 401, 1597, 283, 233, 1907, 2243, 239, 2347, 1091, 1999, 1667)
20 x 20 29700 (7, 191, 797, 181, 5347, 1871, 2417, 271, 1777, 941, 647, 3001, 937, 1091, 47, 2161, 1237, 1931, 3797, 1051), (283, 139, 953, 2939, 1063, 1009, 1973, 2549, 1723, 2269, 653, 149, 3373, 1669, 2693, 419, 853, 1609, 1283, 2099), (2017, 2311, 467, 3911, 967, 1621, 2027, 1181, 997, 601, 1697, 3491, 2647, 151, 3137, 881, 787, 661, 107, 41), (2213, 29, 523, 2719, 1163, 89, 2953, 919, 683, 1889, 3643, 1759, 173, 929, 1153, 1579, 2273, 1439, 463, 3109), (2677, 1471, 257, 1061, 2347, 751, 2657, 281, 457, 2011, 677, 2591, 1117, 1861, 827, 761, 1567, 3931, 2267, 131), (3323, 3259, 673, 3389, 2003, 79, 613, 569, 743, 1459, 1303, 359, 293, 439, 2143, 2789, 1553, 1489, 2203, 1019), (17, 211, 1627, 1811, 167, 2671, 2467, 2081, 2897, 421, 157, 461, 3557, 1171, 1327, 1451, 2237, 3061, 397, 1511), (233, 3539, 2113, 109, 2423, 239, 373, 1999, 2543, 2309, 2083, 3049, 263, 1109, 2503, 859, 2243, 1259, 73, 379), (877, 1151, 1907, 1831, 1447, 521, 557, 2131, 3307, 71, 617, 631, 67, 3221, 977, 1741, 2797, 641, 2687, 2521), (1033, 449, 2063, 409, 1753, 3659, 2393, 1429, 193, 1289, 4133, 3709, 1453, 1049, 443, 229, 823, 1559, 563, 1069), (947, 61, 2137, 11, 1487, 2551, 757, 3581, 197, 3121, 2617, 251, 1187, 1321, 277, 401, 3257, 1021, 1987, 2531), (3023, 1229, 433, 769, 503, 2609, 1693, 709, 593, 389, 1093, 2389, 383, 2729, 1873, 739, 2963, 1499, 2293, 1789), (2837, 701, 2767, 241, 1667, 1571, 727, 2371, 2207, 311, 1657, 1291, 1217, 971, 307, 3571, 1427, 431, 37, 3391), (733, 2179, 1583, 2879, 643, 2539, 113, 59, 1663, 499, 863, 479, 2053, 2029, 2153, 509, 163, 3319, 2333, 2909), (1097, 3191, 607, 811, 1637, 1361, 2557, 1951, 1787, 2141, 2377, 1531, 1277, 491, 1747, 2281, 857, 101, 907, 991), (1993, 2579, 1193, 1549, 1543, 2459, 1823, 2239, 2683, 2069, 1103, 349, 3343, 659, 773, 2749, 313, 179, 83, 19), (127, 2381, 227, 541, 337, 1601, 317, 2341, 1087, 1721, 3527, 571, 547, 2741, 4337, 691, 97, 3041, 2087, 1381), (2803, 1249, 1523, 599, 223, 1039, 1493, 809, 2593, 1399, 353, 269, 1783, 829, 1013, 4259, 3613, 619, 1613, 1619), (2477, 3181, 4057, 1901, 1607, 331, 367, 821, 137, 3511, 487, 1031, 2297, 2221, 1867, 911, 587, 31, 577, 1301), (983, 199, 3793, 2039, 1373, 1129, 1423, 1409, 1433, 1279, 13, 2339, 1733, 3019, 103, 719, 53, 1879, 3943, 839)


The following noteworthy solutions were received after the contest ended.

Problem Solver / Score / Date
(Solution)
7 x 7 Jarek Wroblewski 761 23 Aug 2013 03:49
Jarek Wroblewski 755 26 Aug 2013 16:08
Wes Sampson 749 30 Aug 2013 01:24
Wes Sampson 737 20 Sep 2013 01:59
Jarek Wroblewski 733 10 Oct 2013 02:22
(3, 7, 173, 223, 17, 197, 113), (181, 211, 11, 79, 131, 23, 97), (43, 41, 149, 89, 137, 191, 83), (233, 103, 107, 73, 127, 31, 59), (29, 167, 101, 19, 199, 67, 151), (5, 47, 139, 179, 109, 61, 193), (239, 157, 53, 71, 13, 163, 37)
8 x 8 Michael Hürter 1224 17 Sep 2021 20:02
Michael Hürter 1192 27 Dec 2021 20:54
(3, 157, 283, 251, 109, 53, 73, 263), (199, 173, 103, 5, 311, 31, 233, 137), (163, 71, 181, 257, 83, 29, 179, 229), (47, 223, 43, 367, 107, 277, 67, 61), (151, 227, 7, 101, 11, 167, 337, 191), (241, 211, 131, 113, 281, 59, 139, 17), (149, 89, 431, 79, 97, 197, 127, 23), (239, 41, 13, 19, 193, 379, 37, 271)
9 x 9 Michael Hürter 1845 24 Sep 2021 12:01
Michael Hürter 1791 27 Dec 2021 20:56
(3, 83, 151, 103, 127, 179, 239, 509, 397), (257, 379, 229, 373, 181, 211, 47, 41, 73), (467, 17, 89, 283, 157, 29, 223, 389, 137), (107, 113, 311, 307, 131, 71, 409, 101, 241), (199, 281, 7, 317, 443, 13, 331, 37, 163), (53, 173, 263, 11, 149, 277, 313, 359, 193), (337, 433, 23, 227, 197, 167, 59, 97, 251), (19, 233, 449, 139, 5, 353, 109, 191, 293), (349, 79, 269, 31, 401, 491, 61, 67, 43)
10 x 10 Michael Hürter 2670 24 Sep 2021 12:04
Michael Hürter 2650 27 Dec 2021 20:59
(3, 17, 353, 239, 577, 331, 149, 631, 139, 211), (113, 683, 101, 227, 11, 313, 479, 131, 281, 311), (241, 733, 13, 347, 97, 23, 83, 47, 563, 503), (53, 193, 521, 397, 223, 547, 421, 107, 79, 109), (317, 19, 191, 7, 157, 293, 461, 593, 349, 263), (467, 167, 89, 599, 199, 373, 151, 59, 179, 367), (557, 137, 541, 419, 197, 29, 337, 229, 163, 41), (383, 43, 277, 173, 613, 271, 307, 103, 409, 71), (283, 269, 73, 61, 67, 37, 257, 499, 457, 647), (233, 389, 491, 181, 509, 433, 5, 251, 31, 127)
11 x 11 Jarek Wroblewski 4195 18 Sep 2013 03:48
Michael Hürter 3993 24 Sep 2021 12:05
Michael Hürter 3619 27 Dec 2021 20:59
(3, 89, 251, 23, 5, 661, 547, 479, 163, 757, 641), (631, 397, 257, 107, 389, 127, 367, 311, 83, 337, 613), (199, 137, 373, 421, 233, 239, 883, 11, 439, 241, 443), (283, 379, 313, 331, 463, 503, 647, 317, 31, 173, 179), (19, 701, 281, 487, 271, 383, 79, 227, 191, 523, 457), (71, 659, 431, 59, 293, 401, 359, 197, 419, 563, 167), (601, 73, 751, 277, 97, 37, 461, 7, 541, 617, 157), (103, 307, 29, 17, 733, 353, 67, 709, 773, 61, 467), (229, 181, 499, 607, 449, 53, 13, 863, 349, 113, 263), (827, 139, 211, 409, 643, 593, 47, 347, 109, 193, 101), (653, 557, 223, 881, 43, 269, 149, 151, 521, 41, 131)
12 x 12 Michael Hürter 5124 24 Sep 2021 12:06
Michael Hürter 4932 27 Dec 2021 21:02
(3, 109, 107, 157, 521, 509, 599, 787, 739, 331, 313, 757), (127, 937, 311, 421, 419, 281, 1013, 19, 113, 241, 463, 587), (37, 677, 467, 641, 263, 103, 613, 379, 829, 151, 11, 761), (101, 71, 449, 557, 257, 7, 541, 373, 367, 269, 1063, 877), (13, 617, 859, 359, 389, 953, 383, 233, 619, 17, 317, 173), (397, 647, 131, 457, 193, 277, 863, 251, 347, 61, 701, 607), (197, 601, 823, 563, 191, 47, 31, 271, 593, 743, 709, 163), (547, 97, 499, 41, 569, 919, 43, 577, 89, 1019, 503, 29), (307, 5, 523, 199, 659, 727, 461, 1163, 83, 223, 149, 433), (1103, 409, 23, 431, 631, 227, 139, 211, 751, 811, 59, 137), (1123, 283, 673, 769, 401, 239, 167, 181, 53, 293, 571, 179), (977, 479, 67, 337, 439, 643, 79, 487, 349, 773, 73, 229)
13 x 13 Jarek Wroblewski 7627 18 Sep 2013 07:32
Jarek Wroblewski 7597 22 Sep 2013 19:00
Michael Hürter 7293 24 Sep 2021 12:06
Michael Hürter 6539 27 Dec 2021 21:03
(3, 241, 971, 307, 71, 541, 677, 673, 179, 821, 37, 727, 1291), (397, 719, 97, 157, 347, 1223, 1259, 653, 337, 739, 43, 557, 11), (631, 881, 163, 647, 419, 229, 389, 439, 1171, 607, 167, 599, 197), (379, 89, 797, 853, 991, 463, 283, 31, 191, 263, 937, 1051, 211), (421, 1123, 547, 619, 487, 457, 709, 281, 577, 23, 751, 251, 293), (643, 373, 353, 1129, 109, 59, 151, 149, 499, 641, 1009, 733, 691), (509, 107, 461, 331, 743, 47, 1117, 839, 491, 227, 859, 569, 239), (139, 223, 829, 181, 1381, 349, 661, 1087, 311, 17, 1091, 13, 257), (1019, 199, 983, 131, 41, 601, 101, 67, 61, 1367, 1039, 827, 103), (613, 271, 683, 431, 967, 503, 83, 1013, 1033, 173, 5, 193, 571), (701, 883, 73, 563, 443, 1217, 977, 359, 113, 233, 7, 29, 941), (467, 907, 313, 367, 19, 401, 79, 811, 479, 769, 277, 863, 787), (617, 523, 269, 823, 521, 449, 53, 137, 1097, 659, 317, 127, 947)
14 x 14 Michael Hürter 9086 24 Sep 2021 12:08
Michael Hürter 8582 27 Dec 2021 21:04
(3, 43, 41, 19, 31, 277, 109, 883, 1607, 1613, 647, 13, 1543, 1753), (61, 797, 367, 107, 641, 167, 1097, 1301, 97, 1373, 683, 557, 457, 877), (971, 733, 1439, 937, 659, 1039, 317, 211, 709, 67, 863, 281, 163, 193), (1181, 1117, 11, 1289, 79, 727, 1193, 73, 419, 337, 173, 1033, 139, 811), (389, 1567, 233, 1069, 1709, 223, 311, 607, 313, 5, 509, 887, 83, 677), (257, 857, 631, 47, 1051, 761, 37, 953, 53, 1231, 1847, 587, 241, 29), (773, 157, 569, 103, 349, 809, 229, 1361, 293, 1019, 443, 1129, 881, 467), (353, 131, 307, 251, 1303, 547, 577, 421, 751, 431, 521, 769, 1291, 929), (491, 463, 373, 997, 967, 1021, 271, 593, 227, 941, 563, 599, 643, 433), (17, 347, 2309, 89, 101, 499, 479, 1447, 617, 719, 739, 787, 409, 23), (1559, 653, 59, 911, 179, 919, 619, 7, 239, 181, 263, 983, 859, 1151), (127, 691, 283, 1321, 571, 661, 1277, 461, 673, 199, 191, 149, 947, 1031), (1297, 503, 1259, 379, 401, 331, 1237, 113, 1523, 197, 383, 449, 439, 71), (1103, 523, 701, 1063, 541, 601, 829, 151, 1061, 269, 757, 359, 487, 137)
15 x 15 Michael Hürter 11955 24 Sep 2021 12:09
(3, 113, 1049, 13, 739, 23, 373, 1907, 1637, 5, 2543, 1471, 1123, 19, 937), (431, 89, 47, 853, 1579, 197, 983, 229, 71, 1783, 2011, 353, 2099, 457, 773), (1301, 1847, 347, 1567, 2143, 439, 233, 1109, 307, 911, 227, 521, 109, 211, 683), (877, 1867, 149, 523, 1129, 577, 29, 811, 673, 389, 1009, 313, 859, 1051, 1699), (163, 769, 1201, 487, 1493, 751, 167, 31, 733, 311, 383, 2069, 797, 2269, 331), (277, 883, 1697, 643, 619, 223, 839, 43, 1747, 1327, 1019, 1499, 131, 941, 67), (179, 691, 139, 1951, 239, 1069, 1559, 1877, 1483, 503, 601, 563, 743, 101, 257), (199, 1733, 569, 269, 53, 1249, 881, 1117, 1297, 173, 103, 557, 1367, 1789, 599), (1171, 1361, 1213, 953, 929, 1033, 947, 263, 1433, 727, 193, 11, 281, 41, 1399), (647, 97, 1103, 433, 479, 887, 241, 401, 677, 1993, 37, 1279, 1597, 1063, 1021), (1223, 59, 367, 547, 907, 829, 1549, 613, 719, 421, 977, 787, 809, 701, 1447), (1187, 1543, 73, 467, 449, 443, 181, 857, 653, 863, 1931, 617, 107, 1553, 1031), (2017, 79, 509, 1277, 17, 971, 1181, 2311, 337, 1061, 137, 461, 349, 607, 641), (709, 541, 1879, 1151, 761, 1237, 991, 7, 61, 271, 593, 1303, 1291, 661, 499), (1571, 283, 1613, 821, 419, 2027, 1801, 379, 127, 1217, 191, 151, 293, 491, 571)
17 x 17 Jarek Wroblewski 19393 17 Sep 2013 04:13
Michael Hürter 18717 24 Sep 2021 12:10
Michael Hürter 17697 27 Dec 2021 21:04
(3, 59, 419, 151, 97, 491, 2089, 1609, 1297, 617, 1301, 1567, 2309, 281, 673, 2311, 2423), (233, 1163, 1523, 2411, 577, 569, 541, 229, 859, 1543, 823, 947, 1907, 881, 1451, 853, 1187), (2297, 1013, 1733, 521, 1723, 1237, 2131, 1049, 439, 1433, 89, 1783, 1123, 131, 53, 103, 839), (457, 443, 479, 317, 199, 797, 1423, 1553, 1193, 2657, 1171, 677, 1489, 397, 863, 2143, 1439), (1619, 211, 487, 2539, 337, 3607, 19, 607, 769, 1789, 197, 271, 163, 2333, 727, 5, 2017), (1283, 3209, 619, 643, 67, 701, 2039, 7, 661, 683, 1759, 1459, 773, 2221, 547, 107, 919), (1669, 719, 79, 1801, 1231, 991, 1483, 239, 1877, 251, 809, 1607, 293, 2347, 1201, 13, 1087), (137, 1103, 349, 1601, 811, 11, 241, 1753, 929, 1259, 2129, 983, 953, 1429, 3673, 227, 109), (257, 1061, 1583, 613, 1571, 883, 2267, 43, 1217, 2069, 181, 379, 277, 641, 2179, 503, 1973), (1447, 1129, 1009, 1667, 1279, 887, 421, 1093, 1373, 1213, 877, 157, 179, 2083, 659, 1823, 401), (907, 2473, 2207, 2113, 1721, 761, 1031, 499, 563, 149, 691, 593, 1069, 359, 1949, 571, 41), (1511, 433, 139, 113, 1453, 1019, 223, 1901, 2447, 461, 1223, 1181, 73, 1319, 2441, 1051, 709), (733, 409, 37, 1361, 1559, 1831, 827, 1487, 787, 821, 2879, 1229, 1637, 313, 191, 857, 739), (1531, 23, 1117, 269, 757, 1039, 193, 2203, 977, 587, 2437, 71, 2719, 1867, 383, 967, 557), (599, 1249, 2053, 373, 631, 1033, 1151, 1277, 173, 509, 467, 2399, 1303, 601, 523, 2029, 1327), (2683, 1709, 283, 263, 1021, 1409, 647, 1699, 1307, 29, 353, 653, 1399, 367, 101, 1861, 1913), (331, 1291, 3581, 941, 2663, 431, 971, 449, 829, 1627, 311, 1741, 31, 127, 83, 2273, 17)
18 x 18 Michael Hürter 22014 24 Sep 2021 12:15
(3, 499, 1039, 3373, 769, 587, 577, 1301, 113, 1367, 3343, 1289, 3049, 1123, 1877, 877, 101, 727), (1987, 523, 2557, 739, 1699, 1499, 757, 1531, 97, 1997, 313, 683, 1019, 1171, 1721, 47, 1453, 2221), (1201, 107, 1069, 1571, 1823, 1229, 811, 1163, 1091, 1873, 271, 307, 1709, 2383, 359, 397, 2017, 2633), (193, 71, 1483, 677, 239, 41, 2843, 853, 1609, 541, 3181, 3491, 743, 1051, 1993, 1423, 1319, 263), (17, 919, 67, 1543, 2677, 4211, 2011, 1129, 1801, 137, 509, 37, 163, 3221, 419, 2237, 857, 59), (1321, 1777, 1373, 1583, 2551, 2273, 1399, 953, 331, 389, 983, 733, 1459, 1559, 827, 709, 911, 883), (179, 2111, 613, 281, 491, 1871, 691, 1861, 863, 1493, 233, 1093, 839, 1297, 2699, 2243, 1747, 1409), (761, 1759, 997, 593, 823, 443, 1471, 1031, 317, 1097, 149, 2179, 167, 3331, 859, 1481, 1327, 3229), (2579, 11, 151, 2861, 1523, 1693, 127, 293, 1381, 751, 379, 2663, 773, 1489, 4057, 373, 29, 881), (89, 1061, 1637, 1907, 2099, 43, 3067, 463, 2203, 1117, 241, 3643, 223, 887, 1103, 157, 1553, 521), (1237, 1049, 409, 1607, 1723, 2053, 2621, 131, 2953, 83, 1621, 1627, 349, 227, 23, 1307, 2293, 701), (1847, 1613, 907, 139, 61, 1783, 2269, 401, 347, 1433, 2671, 487, 977, 821, 353, 2467, 2791, 647), (1187, 2371, 2087, 1223, 1291, 829, 643, 797, 1361, 2339, 1009, 79, 1451, 947, 73, 1657, 1951, 719), (1213, 941, 1831, 7, 457, 661, 1279, 653, 5, 3467, 2767, 1303, 2819, 431, 53, 2389, 251, 1487), (1087, 2423, 2003, 181, 971, 787, 337, 1789, 2113, 641, 2659, 929, 2963, 191, 1217, 991, 421, 311), (2207, 1901, 1013, 449, 1697, 631, 197, 1931, 2027, 2683, 619, 659, 1811, 19, 1063, 229, 1601, 1277), (2837, 1619, 2521, 2897, 557, 809, 367, 2957, 283, 173, 467, 601, 479, 269, 3209, 673, 1193, 103), (2069, 1259, 257, 383, 563, 571, 547, 2777, 3119, 433, 599, 211, 1021, 1597, 109, 2357, 199, 3943)
19 x 19 Jarek Wroblewski 28379 15 Sep 2013 18:51
Michael Hürter 27303 24 Sep 2021 12:16
(3, 19, 419, 1567, 881, 2789, 3967, 131, 2609, 1373, 3329, 73, 3547, 1999, 1181, 103, 1153, 281, 1879), (463, 1093, 1579, 1721, 761, 2593, 53, 3359, 193, 1151, 167, 571, 2113, 2551, 43, 173, 2371, 3881, 2467), (1399, 1009, 223, 887, 487, 547, 2671, 809, 2089, 2699, 431, 1973, 877, 967, 1361, 4337, 1051, 1663, 1823), (2377, 2141, 1013, 1039, 2153, 2053, 2417, 421, 241, 109, 2549, 673, 1213, 2297, 1217, 409, 271, 4603, 107), (3089, 3527, 2213, 3347, 829, 1493, 773, 443, 67, 563, 2267, 4969, 661, 23, 401, 1103, 1259, 263, 13), (1733, 2843, 2713, 191, 1543, 2339, 919, 349, 613, 587, 1109, 269, 1531, 2333, 3391, 1193, 1229, 641, 1777), (47, 373, 2857, 313, 3229, 4241, 2221, 3511, 383, 2957, 787, 127, 1301, 907, 883, 709, 1481, 797, 179), (2311, 1321, 1061, 541, 31, 937, 157, 211, 233, 631, 3863, 2617, 1601, 2963, 2137, 61, 2861, 1667, 2099), (617, 521, 1163, 449, 2719, 1129, 499, 2351, 2803, 1201, 1913, 1453, 151, 1019, 1811, 3079, 251, 593, 3581), (1583, 701, 2239, 1249, 911, 1381, 1993, 823, 2069, 1951, 397, 3323, 3709, 643, 523, 389, 307, 1559, 1553), (2161, 953, 11, 137, 2477, 1433, 1621, 29, 1987, 577, 1783, 619, 1427, 3121, 3433, 827, 317, 1511, 2879), (359, 1283, 1657, 3301, 1931, 1499, 1097, 821, 1889, 2081, 1627, 1669, 1277, 863, 757, 479, 1801, 1171, 1741), (857, 2473, 1571, 653, 743, 1237, 929, 3209, 461, 311, 1753, 751, 347, 2423, 3701, 1451, 2393, 1471, 569), (1831, 1327, 2999, 2591, 971, 5, 2657, 1609, 2441, 2917, 229, 1747, 149, 1613, 599, 839, 277, 491, 2011), (2543, 139, 2003, 1867, 659, 101, 2927, 2579, 2237, 1873, 1279, 739, 37, 59, 2027, 197, 3793, 1297, 947), (1847, 3847, 1289, 1049, 1861, 1319, 1123, 1291, 1087, 1619, 601, 293, 557, 1439, 181, 3733, 3463, 337, 367), (433, 1549, 1483, 2029, 7, 1523, 467, 683, 2063, 503, 239, 2131, 1117, 769, 1871, 4201, 2437, 2707, 1091), (2203, 1187, 727, 353, 977, 227, 733, 2677, 3119, 3137, 71, 1223, 2687, 1031, 1697, 1877, 257, 941, 2179), (1447, 997, 83, 4019, 4133, 457, 79, 1997, 719, 1063, 2909, 2083, 3001, 283, 89, 2143, 331, 1429, 41)
20 x 20 Michael Hürter 29660 17 Sep 2021 20:07
(3, 163, 4153, 227, 2903, 2203, 593, 3593, 2129, 983, 547, 571, 461, 2917, 2029, 1109, 1511, 1933, 863, 769), (419, 1019, 971, 337, 2719, 311, 2677, 2089, 1697, 19, 443, 1979, 2207, 1543, 1607, 599, 4397, 211, 1447, 2969), (2729, 953, 2417, 643, 2137, 701, 601, 1879, 151, 5, 23, 1553, 2621, 2713, 647, 2741, 2087, 397, 4231, 431), (743, 67, 2711, 3833, 1993, 829, 307, 2213, 2659, 2251, 1831, 617, 1193, 757, 853, 3359, 937, 557, 1907, 43), (2039, 1153, 1997, 751, 653, 2287, 577, 2141, 2113, 257, 3623, 877, 1487, 491, 1499, 1579, 191, 3967, 29, 1949), (2347, 2539, 1093, 1987, 941, 2267, 3517, 41, 1489, 1657, 97, 401, 2237, 1163, 1861, 1759, 1433, 2111, 263, 457), (2687, 1399, 2753, 193, 2083, 317, 3719, 107, 373, 1867, 1789, 641, 2657, 1039, 719, 2689, 167, 2543, 1439, 479), (353, 1319, 271, 1621, 1327, 127, 331, 2131, 1619, 4139, 1733, 1871, 2837, 1811, 1249, 1709, 1181, 2663, 1279, 89), (1597, 2731, 2293, 1931, 1367, 2693, 283, 761, 907, 1741, 2143, 1523, 2843, 2011, 449, 677, 2473, 1069, 37, 131), (2243, 3019, 239, 3203, 1559, 1601, 179, 1627, 1913, 1423, 17, 1483, 2161, 359, 1063, 661, 389, 1637, 3457, 1427), (4093, 157, 823, 379, 709, 2879, 439, 2053, 1229, 2819, 73, 1493, 1451, 2477, 691, 101, 241, 2791, 2411, 2351), (883, 1583, 857, 2749, 1171, 139, 11, 1753, 839, 2617, 2393, 1303, 1801, 1699, 2647, 1889, 521, 277, 1667, 2861), (773, 541, 2269, 1901, 1049, 2017, 991, 79, 3319, 1429, 4889, 3331, 683, 181, 83, 269, 821, 1481, 1033, 2521), (2003, 3499, 281, 1877, 1291, 1747, 1471, 13, 149, 199, 1999, 173, 1409, 2897, 1231, 1213, 1787, 2341, 2963, 1117), (347, 919, 1693, 739, 569, 4259, 3083, 1669, 229, 1297, 223, 2377, 673, 3079, 463, 3259, 1103, 997, 1151, 1531), (1453, 3709, 7, 1613, 631, 47, 2423, 137, 3371, 4967, 619, 1283, 809, 1381, 1061, 31, 2999, 1873, 59, 1187), (61, 2593, 1373, 1091, 1571, 1847, 1223, 811, 881, 409, 2383, 2801, 383, 1013, 1973, 1823, 2153, 827, 887, 3557), (1549, 659, 2297, 1021, 1301, 607, 3391, 2027, 1201, 499, 53, 2671, 251, 113, 2953, 613, 2389, 71, 2063, 3931), (787, 1217, 929, 293, 3583, 509, 587, 2467, 1783, 349, 3923, 2399, 1009, 727, 3001, 2549, 433, 967, 1951, 197), (2551, 421, 233, 3271, 103, 2273, 3257, 2069, 1609, 733, 859, 313, 487, 1289, 3581, 1031, 2447, 947, 523, 1663)