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A175534
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First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.
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4
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3362, 3473, 4194, 4743, 5024, 5378, 5378, 5522, 5634, 6048, 6722, 6722, 6952, 7394, 7697, 8073, 8114, 8258, 8456, 8498, 8514, 8786, 9097, 9800, 10088, 10430, 10592, 10688, 10728, 11138, 11456, 11585, 11666, 11744, 11880, 12040, 12082, 12152
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OFFSET
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1,1
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COMMENTS
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First 8 such quadruples are:
{{3362, 482, 359, 2}, {3473, 1288, 1016, 8},
{4194, 1282, 567, 162},{4743, 2482, 882, 18},
{5024, 2720, 1376, 305},{5378, 2018, 1346, 98},
{5378, 1346, 863, 98},{5522, 4082, 3314, 407}.
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LINKS
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EXAMPLE
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First quadruple is {3362, 482, 359, 2}. Six pairwise sums are all squares:
3362 + 482 = 62^2, 3362 + 359 = 61^2, 3362 + 2 = 58^2, 482 + 359 = 29^2, 482 + 2 = 22^2, 359 + 2 = 19^2.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Some misprints corrected by Zak Seidov, Jun 13 2010
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STATUS
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approved
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