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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
Michael Hürter 2590 2 Jul 2022 12:53
(3, 43, 307, 73, 373, 257, 383, 379, 293, 479), (199, 61, 619, 317, 103, 227, 521, 31, 163, 349), (421, 113, 557, 29, 269, 37, 211, 23, 491, 439), (149, 83, 563, 127, 509, 263, 367, 71, 277, 181), (17, 313, 7, 239, 461, 173, 487, 607, 89, 197), (233, 601, 19, 359, 139, 337, 59, 11, 431, 401), (523, 409, 281, 137, 167, 13, 251, 347, 191, 271), (79, 241, 53, 397, 311, 719, 47, 503, 131, 109), (353, 443, 5, 463, 101, 457, 41, 467, 193, 67), (613, 283, 179, 449, 157, 107, 223, 151, 331, 97)
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
Michael Hürter 4908 2 Jul 2022 13:01
(3, 229, 757, 251, 19, 139, 109, 773, 277, 919, 929, 503), (439, 631, 463, 521, 523, 617, 541, 137, 47, 499, 233, 257), (761, 691, 17, 449, 347, 983, 701, 43, 491, 223, 113, 89), (569, 359, 11, 131, 433, 647, 557, 41, 373, 827, 853, 107), (677, 353, 383, 59, 659, 227, 271, 487, 829, 883, 67, 13), (419, 1013, 211, 389, 151, 317, 653, 181, 283, 97, 727, 467), (7, 719, 1049, 619, 683, 613, 331, 311, 409, 79, 83, 5), (607, 193, 167, 29, 263, 73, 157, 839, 313, 461, 479, 1327), (191, 71, 641, 577, 599, 61, 547, 337, 937, 401, 397, 149), (571, 163, 241, 787, 379, 23, 587, 443, 881, 197, 127, 509), (101, 179, 601, 857, 431, 457, 173, 967, 31, 269, 103, 739), (563, 307, 367, 239, 421, 751, 281, 349, 37, 53, 797, 743)
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
Michael Hürter 6513 2 Jul 2022 13:03
(3, 5, 1117, 1181, 1151, 613, 631, 1163, 337, 151, 31, 59, 71), (787, 157, 43, 359, 449, 1019, 181, 673, 347, 179, 983, 1103, 233), (1039, 101, 89, 47, 277, 7, 397, 751, 503, 1223, 479, 719, 881), (229, 1427, 127, 283, 853, 907, 251, 653, 593, 311, 829, 37, 13), (733, 1129, 379, 137, 107, 571, 599, 431, 557, 199, 239, 131, 1301), (607, 563, 211, 509, 911, 149, 863, 19, 839, 83, 373, 919, 467), (317, 643, 857, 409, 577, 647, 1009, 293, 619, 457, 223, 23, 439), (109, 859, 887, 269, 29, 401, 967, 701, 281, 353, 383, 811, 463), (113, 521, 769, 167, 569, 997, 73, 313, 1061, 691, 53, 443, 743), (271, 797, 163, 191, 197, 487, 677, 79, 541, 1567, 661, 461, 421), (307, 41, 683, 1123, 139, 587, 523, 257, 241, 349, 1021, 641, 601), (1051, 173, 17, 1291, 821, 67, 331, 419, 367, 757, 499, 103, 617), (947, 97, 1171, 547, 433, 61, 11, 761, 227, 193, 739, 1063, 263)
14 x 14 Michael Hürter 9086 24 Sep 2021 12:08
Michael Hürter 8582 27 Dec 2021 21:04
Michael Hürter 8414 2 Jul 2022 13:04
(3, 293, 773, 761, 857, 571, 859, 503, 733, 199, 1013, 691, 769, 389), (547, 557, 307, 239, 1889, 37, 1367, 229, 787, 659, 7, 709, 227, 853), (719, 251, 487, 1237, 317, 827, 349, 541, 83, 977, 197, 947, 643, 839), (911, 1429, 191, 271, 137, 1289, 257, 479, 233, 619, 797, 1627, 113, 61), (823, 11, 523, 23, 89, 617, 683, 461, 1061, 331, 863, 193, 953, 1783), (701, 359, 601, 1361, 739, 269, 821, 1229, 17, 1459, 149, 599, 79, 31), (1093, 1423, 509, 383, 29, 1301, 19, 1427, 59, 631, 499, 467, 53, 521), (5, 313, 241, 1063, 1283, 283, 1021, 103, 1117, 1019, 97, 13, 919, 937), (397, 1847, 419, 163, 139, 277, 353, 431, 1291, 379, 907, 491, 727, 593), (1297, 67, 1193, 173, 569, 433, 971, 563, 811, 211, 677, 43, 967, 439), (457, 167, 1399, 743, 881, 757, 179, 887, 281, 613, 1321, 71, 311, 347), (47, 1187, 109, 587, 151, 127, 443, 983, 131, 607, 877, 1877, 107, 1181), (263, 409, 449, 1009, 673, 577, 1051, 421, 1163, 373, 181, 223, 1549, 73), (1151, 101, 1213, 401, 661, 1049, 41, 157, 647, 337, 829, 463, 997, 367)
15 x 15 Michael Hürter 11955 24 Sep 2021 12:09
Michael Hürter 10905 2 Jul 2022 12:49
(3, 5, 1429, 2137, 1567, 1913, 1993, 661, 31, 491, 7, 139, 271, 241, 17), (839, 13, 569, 1303, 787, 107, 883, 773, 1213, 431, 37, 1327, 1439, 61, 1123), (479, 307, 127, 349, 487, 829, 311, 1153, 1051, 1373, 2081, 557, 211, 1307, 283), (1699, 1009, 11, 1399, 809, 937, 101, 19, 991, 743, 1063, 223, 1039, 269, 593), (167, 1427, 821, 541, 691, 443, 191, 71, 857, 647, 571, 751, 79, 2099, 1549), (1033, 997, 239, 1237, 1489, 1031, 613, 163, 199, 1129, 449, 641, 503, 659, 523), (601, 1487, 1163, 97, 457, 181, 1451, 131, 149, 1049, 2239, 317, 643, 683, 257), (409, 353, 281, 313, 797, 67, 1103, 1693, 1171, 509, 673, 1613, 929, 23, 971), (761, 1523, 877, 853, 29, 1669, 359, 1481, 461, 701, 151, 83, 547, 109, 1301), (263, 373, 2087, 1181, 419, 983, 179, 1627, 947, 521, 439, 137, 977, 173, 599), (1061, 347, 43, 379, 941, 73, 1723, 1087, 157, 727, 1319, 1279, 1433, 103, 233), (677, 499, 887, 421, 1019, 227, 757, 433, 1231, 653, 193, 617, 337, 1297, 1657), (53, 619, 1201, 331, 1283, 967, 197, 401, 953, 47, 383, 1091, 709, 1811, 859), (1493, 1579, 563, 113, 89, 229, 467, 919, 631, 277, 911, 1223, 719, 811, 881), (1367, 367, 607, 251, 41, 1249, 577, 293, 863, 1607, 389, 907, 1069, 1259, 59)
16 x 16 Michael Hürter 13424 2 Jul 2022 12:56
(3, 11, 293, 1237, 53, 1913, 2099, 131, 263, 1901, 881, 1249, 757, 883, 1259, 491), (13, 317, 227, 463, 251, 157, 1873, 41, 1181, 1733, 1319, 353, 1447, 1789, 1229, 1031), (101, 1459, 1217, 1091, 1201, 373, 1063, 151, 367, 173, 443, 733, 613, 1571, 991, 1877), (83, 1381, 1153, 1009, 563, 503, 1289, 113, 1373, 397, 1663, 1321, 179, 1151, 593, 653), (5, 643, 1429, 1601, 2683, 167, 1409, 67, 1999, 71, 229, 1297, 73, 281, 1193, 277), (103, 719, 857, 509, 1427, 31, 1471, 1097, 1019, 431, 839, 541, 127, 1483, 557, 2213), (419, 433, 877, 331, 283, 1367, 773, 1609, 683, 149, 929, 577, 2333, 1013, 137, 1511), (269, 1481, 2381, 1093, 619, 1307, 79, 43, 47, 997, 421, 751, 383, 547, 1453, 1553), (1693, 439, 409, 743, 701, 233, 349, 787, 829, 1279, 1231, 1327, 1831, 919, 193, 461), (467, 257, 37, 769, 191, 1123, 739, 1423, 1129, 2399, 1697, 487, 631, 181, 617, 1277), (1597, 953, 827, 811, 1109, 1669, 907, 1973, 163, 211, 1061, 271, 659, 97, 1087, 29), (1619, 223, 571, 1163, 599, 139, 1049, 971, 1637, 677, 499, 761, 859, 523, 1487, 647), (2081, 1579, 313, 379, 977, 457, 59, 601, 197, 911, 1439, 1811, 569, 863, 709, 479), (1499, 941, 449, 1559, 1747, 823, 241, 1777, 89, 607, 401, 23, 1051, 1069, 1039, 109), (2039, 1567, 853, 359, 347, 1801, 17, 1979, 337, 967, 311, 199, 1103, 107, 641, 797), (1433, 1021, 1531, 307, 673, 1361, 7, 661, 2111, 521, 61, 1723, 809, 947, 239, 19)
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
Michael Hürter 16847 2 Jul 2022 13:08
(3, 5, 7, 31, 859, 13, 167, 269, 421, 829, 1109, 1619, 1571, 2647, 2287, 3163, 1847), (431, 367, 1499, 953, 1381, 1801, 1493, 1409, 619, 1901, 109, 461, 1291, 1117, 691, 1307, 17), (971, 919, 3167, 23, 1049, 569, 211, 821, 547, 1429, 2437, 947, 349, 487, 887, 1171, 863), (239, 1361, 617, 2027, 241, 271, 2179, 653, 1553, 857, 769, 761, 647, 389, 1301, 1693, 1289), (787, 2213, 641, 353, 2633, 977, 811, 101, 1399, 1523, 227, 383, 277, 1319, 89, 1741, 1373), (293, 37, 83, 2053, 701, 179, 1879, 677, 1999, 1039, 1093, 2243, 2383, 373, 499, 907, 409), (541, 1747, 751, 877, 2357, 967, 2087, 163, 709, 739, 607, 281, 823, 1087, 2063, 251, 797), (2467, 443, 113, 1627, 347, 173, 1447, 2203, 1097, 2143, 73, 983, 827, 337, 331, 1223, 1013), (503, 1031, 1579, 1471, 71, 1777, 577, 2557, 307, 263, 131, 1489, 1321, 191, 2161, 139, 1279), (2029, 79, 1213, 29, 449, 2141, 317, 149, 991, 673, 1877, 1873, 1033, 929, 911, 1063, 1091), (1021, 1907, 1567, 257, 199, 727, 97, 1151, 59, 613, 491, 1783, 1069, 1597, 1181, 757, 2371), (521, 397, 593, 313, 1823, 229, 479, 1297, 433, 467, 1871, 631, 2089, 1367, 2273, 67, 1997), (1831, 563, 743, 43, 1201, 2549, 2441, 1237, 599, 661, 1987, 839, 127, 61, 773, 683, 509), (1103, 2579, 1433, 2297, 151, 2281, 107, 997, 1549, 181, 1259, 137, 587, 1153, 157, 419, 457), (359, 197, 53, 809, 2221, 379, 2069, 1009, 1699, 937, 1303, 1129, 719, 1283, 463, 1559, 659), (1217, 283, 1187, 883, 1123, 1621, 439, 1583, 1229, 1531, 1193, 1277, 853, 1459, 223, 103, 643), (2531, 2719, 1601, 2801, 41, 193, 47, 571, 1637, 1061, 311, 11, 881, 1051, 557, 601, 233)
18 x 18 Michael Hürter 22014 24 Sep 2021 12:15
Michael Hürter 20214 2 Jul 2022 12:44
(3, 107, 977, 1321, 1831, 3469, 443, 1307, 1279, 1453, 1889, 1709, 1327, 197, 683, 569, 487, 1163), (1061, 131, 733, 349, 421, 3389, 2027, 1871, 163, 2753, 167, 641, 409, 1823, 1021, 1733, 11, 1511), (2371, 719, 941, 373, 1637, 3461, 557, 1063, 359, 13, 281, 1867, 191, 1951, 1439, 1571, 233, 1187), (457, 367, 83, 241, 2741, 983, 1129, 149, 1109, 821, 1583, 1249, 2111, 701, 1877, 2503, 1973, 137), (1787, 1567, 929, 239, 541, 2917, 1069, 1049, 1213, 257, 127, 1987, 1033, 37, 1753, 521, 1171, 2017), (947, 811, 599, 2063, 1483, 839, 97, 467, 1051, 2099, 1423, 1409, 1427, 383, 1481, 761, 1153, 1721), (263, 79, 757, 1789, 2207, 1231, 863, 659, 2113, 317, 1301, 113, 829, 2609, 1009, 1697, 1459, 919), (1019, 1123, 53, 877, 2803, 283, 1553, 617, 577, 1723, 1667, 1093, 1303, 1373, 709, 991, 1543, 907), (1031, 1429, 601, 809, 2897, 251, 1487, 1783, 2053, 769, 61, 461, 587, 109, 2089, 1259, 1447, 1091), (1901, 2663, 1097, 401, 479, 193, 673, 223, 2221, 1471, 1579, 607, 313, 1103, 1621, 1627, 181, 1861), (691, 1913, 1619, 2687, 503, 41, 463, 1151, 593, 337, 743, 2069, 911, 823, 2459, 379, 2539, 293), (2081, 431, 2423, 1367, 179, 19, 971, 1549, 2251, 2269, 2297, 967, 2239, 199, 157, 67, 677, 71), (797, 1277, 1399, 1181, 151, 47, 2617, 2957, 2789, 2381, 419, 173, 1759, 937, 211, 103, 739, 277), (1117, 647, 3929, 2833, 271, 29, 1217, 1223, 1201, 23, 953, 1607, 2347, 311, 439, 1663, 73, 331), (997, 523, 619, 59, 31, 17, 2477, 857, 7, 1319, 727, 631, 1531, 1699, 1381, 1879, 2683, 2777), (1451, 859, 2179, 2351, 43, 887, 269, 2083, 653, 773, 1493, 1039, 227, 1087, 881, 1997, 509, 1433), (751, 3191, 827, 661, 89, 5, 1013, 563, 353, 1297, 2311, 2203, 787, 2143, 433, 547, 2939, 101), (1489, 2377, 449, 613, 1907, 2153, 1289, 643, 229, 139, 1193, 389, 883, 2729, 571, 347, 397, 2417)
19 x 19 Jarek Wroblewski 28379 15 Sep 2013 18:51
Michael Hürter 27303 24 Sep 2021 12:16
Michael Hürter 25593 2 Jul 2022 13:09
(3, 11, 1523, 149, 1259, 647, 1783, 2441, 1447, 877, 653, 2347, 1607, 1217, 947, 1999, 2789, 3463, 431), (71, 7, 547, 2521, 317, 1669, 2287, 2333, 2609, 701, 1579, 613, 1291, 2833, 163, 1471, 439, 1483, 2659), (1181, 179, 2243, 1321, 1201, 2687, 2351, 2251, 733, 541, 1879, 307, 929, 3461, 337, 607, 503, 211, 2671), (2381, 461, 2647, 1877, 1823, 281, 1307, 569, 1289, 1481, 1163, 1153, 1951, 349, 523, 1601, 73, 1867, 2797), (2963, 1619, 229, 59, 557, 4013, 1667, 1283, 67, 101, 1663, 167, 1531, 1913, 2767, 1063, 499, 2579, 853), (1987, 1249, 1931, 659, 1103, 43, 1567, 3049, 397, 1129, 1361, 193, 1193, 2237, 1487, 727, 367, 1847, 3067), (2297, 2549, 313, 599, 1709, 2927, 937, 743, 421, 3491, 83, 1801, 2713, 641, 1753, 19, 1039, 1427, 131), (463, 2087, 41, 2909, 3229, 577, 373, 1231, 739, 521, 1613, 1381, 859, 2903, 1759, 241, 2473, 971, 1223), (277, 857, 479, 37, 491, 2393, 389, 1993, 223, 1873, 2887, 3469, 977, 191, 2591, 2213, 3529, 467, 257), (2411, 1637, 827, 2029, 2699, 1091, 1553, 2273, 79, 661, 2131, 1433, 199, 821, 433, 673, 2477, 863, 1303), (1423, 1297, 593, 1549, 151, 953, 1499, 379, 1597, 3617, 3541, 263, 2861, 1019, 283, 2141, 233, 1997, 197), (1721, 3583, 2389, 1489, 2143, 1627, 683, 1409, 401, 271, 1301, 2203, 919, 1033, 809, 487, 1571, 61, 1493), (227, 2113, 1831, 2089, 2719, 1367, 137, 409, 2269, 29, 53, 811, 3347, 13, 2081, 787, 3329, 769, 1213), (631, 2741, 23, 139, 1031, 983, 2551, 359, 2663, 2617, 181, 2791, 443, 2311, 2281, 601, 2179, 619, 449), (2557, 269, 941, 103, 2371, 109, 1151, 2677, 4409, 881, 911, 1237, 347, 907, 1123, 2293, 331, 1229, 1747), (991, 3041, 3221, 1277, 1609, 571, 1789, 1051, 419, 1319, 1733, 797, 509, 1279, 3167, 353, 383, 2053, 31), (2953, 1871, 1049, 1187, 113, 2377, 1117, 173, 761, 887, 311, 2017, 773, 97, 2221, 4019, 1373, 2137, 157), (967, 17, 3109, 2749, 1021, 587, 1439, 293, 3181, 1777, 1097, 709, 1171, 239, 251, 2437, 1009, 1093, 2447), (89, 5, 1657, 2851, 47, 691, 1013, 677, 1889, 2819, 1453, 1901, 1973, 2129, 617, 1861, 997, 457, 2467)
20 x 20 Michael Hürter 29660 17 Sep 2021 20:07
Michael Hürter 28820 2 Jul 2022 13:15
(3, 7, 11, 13, 1039, 3389, 139, 31, 227, 557, 53, 1427, 241, 4787, 2903, 2083, 4363, 1433, 4111, 2003), (137, 1951, 3413, 653, 313, 373, 1777, 1901, 337, 229, 1601, 1699, 3259, 2039, 2857, 1627, 2383, 1291, 877, 103), (563, 2357, 107, 1553, 1399, 911, 3319, 739, 2027, 1709, 3329, 367, 859, 251, 1277, 2719, 587, 787, 2237, 1723), (2377, 1381, 271, 1511, 1789, 1103, 2659, 173, 2207, 593, 1327, 983, 2309, 457, 2053, 359, 569, 2591, 449, 3659), (17, 3547, 2927, 1021, 619, 2539, 2971, 1439, 919, 419, 397, 1979, 1721, 2011, 941, 2293, 421, 101, 881, 1657), (1619, 691, 2731, 1913, 541, 1109, 1367, 1861, 1747, 2579, 1889, 2711, 199, 127, 2437, 317, 823, 1279, 167, 2713), (263, 1609, 2687, 1031, 1669, 1153, 2447, 193, 499, 1949, 467, 431, 97, 1129, 4723, 2551, 1499, 1487, 1483, 1453), (659, 2269, 2087, 79, 181, 929, 577, 571, 1579, 4253, 1871, 2137, 1613, 1867, 613, 479, 1451, 4217, 1009, 379), (2693, 521, 1049, 1759, 5, 2273, 2243, 3067, 3673, 1321, 43, 641, 113, 4027, 59, 1621, 211, 149, 809, 2543), (401, 1831, 857, 2267, 2213, 661, 709, 991, 773, 1303, 353, 1597, 827, 3943, 1051, 73, 821, 3449, 2017, 2683), (463, 829, 1373, 2099, 2657, 727, 1237, 2753, 3019, 2089, 2663, 1493, 1187, 797, 61, 23, 2963, 1069, 617, 701), (1879, 1543, 673, 2557, 1429, 163, 67, 547, 1117, 2593, 1583, 1361, 1201, 769, 2179, 2503, 647, 523, 3919, 1567), (1307, 2063, 953, 439, 607, 2897, 283, 2609, 487, 2531, 1223, 1873, 3163, 383, 233, 2311, 41, 971, 3187, 1259), (1063, 1061, 1693, 3691, 151, 1447, 1283, 409, 863, 761, 1181, 1171, 1229, 223, 1193, 2341, 2417, 2347, 1093, 3203), (1289, 1319, 307, 1091, 4673, 1033, 1409, 311, 1097, 19, 1663, 631, 2393, 1523, 1931, 1471, 1559, 2239, 2143, 719), (3617, 433, 1297, 683, 677, 281, 2677, 1013, 757, 1993, 3347, 1163, 1667, 29, 1571, 1877, 2917, 1231, 1087, 503), (131, 937, 1249, 1753, 947, 197, 1997, 2909, 3557, 1531, 3089, 1213, 2741, 1607, 293, 2113, 907, 277, 1301, 71), (2459, 2029, 601, 1973, 4639, 2521, 239, 751, 1733, 389, 839, 109, 1481, 967, 257, 599, 3593, 2851, 347, 443), (3433, 509, 2153, 887, 1489, 2467, 1151, 3371, 743, 1811, 883, 2251, 1787, 1801, 2141, 37, 491, 349, 89, 977), (4447, 1933, 2381, 1847, 1783, 2647, 269, 3181, 1459, 191, 1019, 3583, 733, 83, 47, 1423, 157, 179, 997, 461)