Home > Pandiagonal Magic Squares of Prime Numbers > Final Report

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 Score Solver Date Solution
7 x 7 761 Jarek Wroblewski
Wroclaw, Poland
23 Aug 2013 03:49 (3,31,97,179,167,211,73), (47,89,19,173,79,227,127), (109,281,241,23,11,29,67), (163,17,113,7,193,71,197), (43,41,101,151,223,149,53), (157,103,59,191,83,61,107), (239,199,131,37,5,13,137)
7 x 7 755 Jarek Wroblewski
Wroclaw, Poland
26 Aug 2013 16:08 (3,43,103,11,197,241,157), (173,181,71,109,167,13,41), (19,139,251,101,5,127,113), (73,47,53,163,61,131,227), (97,107,17,151,67,137,179), (79,89,223,191,59,83,31), (311,149,37,29,199,23,7)
7 x 7 749 Wes Sampson
La Jolla, California, United States
30 Aug 2013 01:24 (3,53,167,103,181,31,211), (157,109,61,227,5,59,131), (79,151,101,23,89,193,113), (41,107,83,127,241,13,137), (97,269,73,71,37,191,11), (199,17,67,179,47,233,7), (173,43,197,19,149,29,139)
7 x 7 737 Wes Sampson
La Jolla, California, United States
20 Sep 2013 01:59 (3,37,151,71,233,103,139), (131,223,5,43,227,61,47), (97,193,101,179,17,67,83), (127,53,29,109,181,149,89), (163,23,173,73,7,107,191), (19,41,199,251,59,137,31), (197,167,79,11,13,113,157)
7 x 7 733 Jarek Wroblewski
Wroclaw, Poland
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 1224 Michael Hürter
Saarbrücken, Germany
17 Sep 2021 20:02 (3,11,13,347,191,257,23,379), (73,311,193,163,19,43,181,241), (37,41,223,283,211,167,89,173), (97,269,127,17,53,113,409,139), (281,83,349,5,227,71,101,107), (67,199,79,109,229,383,151,7), (353,47,179,197,137,131,31,149), (313,263,61,103,157,59,239,29)
9 x 9 1845 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:01 (3,293,61,233,83,463,389,13,307), (347,149,31,353,269,311,101,73,211), (97,139,547,37,359,223,151,239,53), (179,367,89,23,5,59,283,263,577), (79,137,349,337,271,157,71,167,277), (47,103,313,107,331,197,199,439,109), (17,401,7,461,191,241,257,229,41), (433,227,131,113,173,127,11,379,251), (643,29,317,181,163,67,383,43,19)
10 x 10 2670 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:04 (3,113,197,313,227,239,433,317,409,419), (151,449,257,137,509,19,661,307,71,109), (461,211,269,193,709,31,11,13,293,479), (359,439,127,17,61,397,181,617,443,29), (43,577,263,271,383,557,149,103,251,73), (41,347,467,53,487,191,311,23,349,401), (139,373,173,89,79,179,337,431,223,647), (199,59,83,631,37,523,379,463,67,229), (601,97,593,613,47,167,101,163,281,7), (673,5,241,353,131,367,107,233,283,277)
11 x 11 4195 Jarek Wroblewski
Wroclaw, Poland
18 Sep 2013 03:48 (5,251,43,499,619,313,557,761,541,233,373), (631,421,467,1019,73,67,139,397,389,173,419), (269,491,563,181,29,719,571,37,191,1097,47), (13,157,461,379,227,457,983,103,577,821,17), (359,1093,691,503,317,439,113,107,197,137,239), (149,487,409,163,31,449,383,769,709,293,353), (1231,41,83,109,967,79,19,347,569,271,479), (463,23,307,59,521,787,331,991,283,263,167), (89,797,673,653,151,743,71,193,211,7,607), (229,337,257,281,829,131,367,311,401,199,853), (757,97,241,349,431,11,661,179,127,701,641)
11 x 11 3993 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:05 (3,293,373,757,461,229,59,457,643,17,701), (487,347,449,137,431,73,859,11,367,239,593), (421,439,349,31,823,179,677,113,631,19,311), (523,89,103,887,5,157,521,577,719,263,149), (683,503,359,151,227,569,47,277,223,853,101), (619,541,613,751,163,251,131,499,107,61,257), (139,331,37,409,607,509,491,953,109,401,7), (29,281,443,43,241,269,389,313,419,857,709), (83,911,53,557,647,233,307,211,397,23,571), (353,191,877,173,71,617,79,383,181,601,467), (653,67,337,97,317,907,433,199,197,659,127)
12 x 12 5124 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:06 (3,307,101,313,709,631,701,683,677,127,271,601), (593,613,251,433,461,149,71,607,659,167,359,761), (239,823,419,877,467,223,587,89,421,61,839,79), (109,139,181,23,487,547,829,641,1009,157,499,503), (653,373,647,347,349,479,83,541,43,751,577,281), (107,409,1187,13,227,401,59,53,971,997,137,563), (881,317,131,853,857,163,827,41,17,113,103,821), (97,11,491,1087,431,521,191,859,277,229,311,619), (383,457,151,569,241,67,509,727,443,941,599,37), (523,367,439,47,463,337,1063,617,31,263,331,643), (673,29,353,389,199,797,7,193,293,1061,919,211), (863,1279,773,173,233,809,197,73,283,257,179,5)
13 x 13 7627 Jarek Wroblewski
Wroclaw, Poland
18 Sep 2013 07:32 (5,1013,109,1471,269,439,1297,151,1129,41,257,397,1049), (1237,223,149,829,97,757,43,599,743,619,1811,17,503), (1151,1213,163,613,331,11,701,673,719,1031,181,53,787), (89,1117,271,827,419,853,1289,23,569,281,127,311,1451), (739,577,857,607,1433,167,29,727,337,1627,13,263,251), (773,191,557,59,659,823,157,1217,409,859,887,239,797), (7,521,71,1291,769,617,499,433,1423,541,401,587,467), (233,523,1009,137,1051,463,19,907,389,653,241,1823,179), (631,839,1429,283,67,991,461,197,37,431,317,1523,421), (103,919,349,733,1103,83,547,977,593,47,367,1327,479), (373,211,683,563,61,677,1061,353,79,643,2393,457,73), (293,107,1621,113,1091,809,571,1171,449,193,31,139,1039), (1993,173,359,101,277,937,953,199,751,661,601,491,131)
13 x 13 7597 Jarek Wroblewski
Wroclaw, Poland
22 Sep 2013 19:00 (5,151,227,1321,827,367,523,1319,311,419,877,709,541), (173,1559,647,1201,787,229,149,1069,449,139,41,883,271), (1297,131,163,71,499,61,359,281,1847,859,907,13,1109), (1409,773,331,349,673,887,43,269,1063,929,31,439,401), (1223,47,1021,463,73,1979,653,167,37,1303,103,317,211), (1423,19,313,23,947,577,101,643,911,379,1039,383,839), (233,1103,971,683,797,113,599,397,631,919,743,157,251), (79,509,1013,521,617,587,1399,1019,97,67,107,1151,431), (557,29,373,239,1087,677,967,127,739,389,457,1187,769), (421,601,733,761,659,241,593,433,691,83,1193,641,547), (193,1597,89,491,11,487,661,181,53,1453,809,1009,563), (307,257,619,1277,337,569,223,1249,17,467,1091,571,613), (277,821,1097,197,283,823,1327,443,751,191,199,137,1051)
13 x 13 7293 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:06 (3,359,461,857,97,439,877,541,1471,409,677,293,809), (569,491,317,647,41,977,43,1453,853,733,821,331,17), (653,167,1523,443,641,37,197,397,127,631,1259,1187,31), (971,1303,1579,347,1459,151,101,269,47,79,503,173,311), (67,59,233,1019,383,1201,1091,131,1787,823,109,191,199), (1063,307,829,617,619,83,251,337,463,239,1327,739,419), (701,193,389,367,521,757,227,787,991,547,571,1129,113), (71,313,223,523,1061,181,691,953,157,433,607,761,1319), (379,1163,421,257,179,997,683,487,929,89,563,983,163), (281,797,661,103,277,1283,587,373,5,613,7,1009,1297), (1151,1093,29,947,967,431,887,643,53,499,61,23,509), (11,599,149,457,941,743,751,659,139,1597,19,401,827), (1373,449,479,709,107,13,907,263,271,601,769,73,1279)
14 x 14 9086 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:08 (3,127,1129,983,619,953,1201,431,701,89,457,1303,71,1019), (271,509,1931,337,461,1657,523,449,643,41,1163,631,307,163), (709,73,839,43,421,1009,647,443,157,937,487,769,1741,811), (1381,463,587,499,239,727,967,617,1237,887,109,733,149,491), (719,863,103,571,929,37,383,419,229,1637,433,761,911,1091), (1291,1033,5,101,881,373,389,1069,191,1117,263,1493,797,83), (331,773,1187,653,1361,283,197,367,521,379,1151,79,1061,743), (97,1459,281,569,919,1049,1669,1567,503,29,577,67,23,277), (541,1549,1319,137,173,677,1433,853,241,179,1277,479,47,181), (11,907,563,1409,227,673,233,751,353,1949,269,439,1109,193), (659,211,859,61,17,1229,167,151,991,829,607,1181,293,1831), (313,739,7,397,1249,107,13,251,1051,359,1039,683,1511,1367), (1063,349,257,2239,311,199,317,547,941,601,1123,59,467,613), (1697,31,19,1087,1279,113,947,1171,1327,53,131,409,599,223)
15 x 15 11955 Michael Hürter
Saarbrücken, Germany
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 19393 Jarek Wroblewski
Wroclaw, Poland
17 Sep 2013 04:13 (5,557,1879,271,631,2903,2053,1301,2243,223,643,503,463,1423,653,2411,1231), (971,1327,577,47,2251,787,1229,71,97,2111,1931,1999,349,2143,1601,1021,881), (1549,269,293,823,37,1321,233,1051,3041,1061,1039,1753,11,541,1033,2789,2549), (311,2699,1303,31,617,1657,61,1259,2237,1627,89,1409,1489,73,2503,227,1801), (1187,619,1181,797,43,3967,2113,1361,1123,857,1481,109,19,173,2029,331,2003), (1153,257,2969,1873,1861,149,1171,607,107,1433,157,317,359,199,1993,3181,1607), (2069,1277,1933,41,467,1201,3343,601,59,2281,1217,1109,3049,307,53,283,103), (443,1471,383,563,499,277,821,2677,1609,659,1163,1129,1553,1667,2161,859,1459), (2551,1559,719,613,1013,827,1543,337,7,2609,313,2357,1847,367,241,1523,967), (1117,761,1237,1913,3089,13,1009,1979,751,421,641,1223,907,2381,521,997,433), (727,2011,197,683,439,1811,251,2089,1777,1723,2683,167,863,1319,127,1783,743), (163,1621,887,877,1193,2879,937,229,647,419,2731,2027,991,1831,479,1289,193), (947,1063,2389,2447,1733,757,677,113,1291,137,131,1583,1613,2297,1427,709,79), (2593,733,739,4373,661,23,17,373,983,1571,1907,461,701,2273,397,1487,101), (2179,911,523,691,2063,239,1297,2753,67,379,919,347,839,853,1721,29,3583), (179,829,487,1483,1049,181,2039,1499,2203,1373,769,883,2671,449,1997,211,1091), (1249,1429,1697,1867,1747,401,599,1093,1151,509,1579,2017,1669,1097,457,263,569)
17 x 17 18717 Michael Hürter
Saarbrücken, Germany
24 Sep 2021 12:10 (3,137,883,419,2113,389,631,1213,193,947,3253,839,2377,1031,1459,1163,1667), (967,109,3967,131,2111,431,1297,577,1543,1609,1451,113,821,2423,571,397,199), (829,487,2213,1549,2273,43,607,983,1123,2467,353,547,79,1367,2039,1171,587), (1789,1867,41,499,31,463,2137,2297,1103,1439,971,673,1747,617,503,877,1663), (359,719,227,2417,929,491,61,859,2029,1913,443,1093,1933,2411,907,1889,37), (593,1399,2017,677,1381,2437,661,1013,1979,2083,599,701,13,601,911,643,1009), (881,997,1709,5,739,991,2711,101,47,2129,1583,523,683,2879,1229,251,1259), (1823,2069,1231,1097,1321,3023,23,1877,277,241,139,89,449,149,2087,2203,619), (2551,67,191,1499,271,1303,373,1483,1109,2281,1489,1327,281,1301,2153,809,229), (863,1471,331,311,1193,691,761,1697,659,257,953,2693,647,313,1447,1759,2671), (151,1861,349,1223,467,2477,1021,797,1373,181,1579,1249,127,263,769,1811,3019), (461,7,2011,1049,2063,197,941,1181,1039,163,1019,2293,2543,1069,1319,1279,83), (1553,379,409,1613,293,521,2383,613,1493,1087,1429,2749,1151,1117,19,107,1801), (401,2221,211,787,1487,3389,2617,2593,17,509,269,823,733,71,29,2393,167), (2557,233,179,2141,157,53,337,853,2099,857,2239,887,2161,1291,173,59,2441), (103,1423,1657,2549,1571,541,1237,11,2251,457,307,1879,2539,73,1201,479,439), (2833,3271,1091,751,317,1277,919,569,383,97,641,239,433,1741,1901,1427,827)
18 x 18 22014 Michael Hürter
Saarbrücken, Germany
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 28379 Jarek Wroblewski
Wroclaw, Poland
15 Sep 2013 18:51 (5,313,359,3079,1811,839,2377,1373,1409,1471,2371,37,1699,1153,3823,829,2693,601,2137), (1279,379,3041,3187,2861,109,2399,1259,131,137,937,2179,1697,2897,1069,1973,811,547,1487), (2131,2999,2293,1123,1229,613,1613,751,1657,4127,1021,2341,31,389,1151,79,3067,1427,337), (827,127,1381,47,1063,1399,113,1453,4643,491,1051,593,2887,3863,3023,1571,23,2731,1093), (463,193,4397,1999,409,2963,2683,2659,1619,457,983,2251,743,1901,433,2531,1019,17,659), (521,683,97,577,257,1549,3253,1193,229,4327,2027,1879,887,1801,1931,647,397,1187,4937), (2819,809,3851,1307,73,631,2243,661,1567,2687,967,523,2309,61,449,2713,1889,2333,487), (2069,3541,941,1163,1493,3119,3181,1213,911,691,181,773,709,1249,563,1987,2909,739,947), (2857,2351,701,1009,1289,1283,239,29,1231,673,1583,997,1597,2741,211,883,1319,3229,4157), (271,167,991,1439,2267,1777,863,3167,2153,461,3343,2791,1553,2017,19,2837,1429,823,11), (1723,1433,3313,383,1621,2579,653,1129,761,2939,1097,2969,223,331,4259,67,43,419,2437), (929,643,1423,1031,2551,1979,373,971,1733,2287,2129,953,401,881,1447,4483,179,3547,439), (2503,3853,431,757,787,1061,1237,1481,2767,263,41,1873,2213,2063,353,2099,307,2689,1601), (2269,1451,877,607,2297,1201,1489,2663,2539,2039,1669,587,1511,1087,1049,317,3803,191,733), (2393,7,199,3677,241,157,227,2383,907,1499,1693,2081,3037,89,4523,139,2237,2411,479), (443,2543,1013,3163,2797,641,2851,2593,503,1861,1327,2417,4153,149,163,347,59,1303,53), (421,1277,2207,1637,3881,2113,919,677,1609,727,509,13,1831,5273,1297,1997,1291,467,233), (3089,2549,571,2111,1103,2459,557,1867,1033,71,2281,1543,617,283,277,719,1321,3407,2521), (1367,3061,293,83,349,1907,1109,857,977,1171,3169,1579,281,151,2339,2161,3583,311,3631)
19 x 19 27303 Michael Hürter
Saarbrücken, Germany
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 29660 Michael Hürter
Saarbrücken, Germany
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)