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A167293
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Long legs of Pythagorean triangles that are not divisible by any other long leg of a Pythagorean triangle.
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0
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4, 15, 21, 35, 55, 77, 91, 99, 117, 143, 153, 171, 187, 209, 221, 247, 253, 299, 323, 325, 377, 391, 403, 425, 437, 475, 493, 527, 551, 575, 589, 621, 629, 667, 697, 703, 713, 725, 775, 779, 783, 817, 837, 851, 899, 925, 943, 957, 989, 999, 1023, 1025, 1073
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OFFSET
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1,1
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COMMENTS
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All long legs of Pythagorean triangles (A009023) are multiples of these values, so these values can be thought of as "primes" of the sequence of long legs.
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LINKS
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PROG
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(PARI) llp = vector(60); np = 1; llp[np] = 4;
notdiv(k) = for(j=1, np, if(k%llp[j], 1, return(0))); return(1);
isLongLeg(n) = local(b); b=0; for(k=1, n-1, if(issquare(k^2+n^2), b=1)); return(b);
for(k=4, 1175, if(notdiv(k), if(isLongLeg(k), np+=1; llp[np]=k)))
for(n=1, 60, print1(llp[n], ", "))
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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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STATUS
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approved
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