A174885 Prime hypotenuses c with concatenation p = c//a//b a prime number.
29, 409, 461, 661, 929, 1249, 1289, 1381, 1801, 1901, 2081, 2609, 2621, 2749, 3041, 3301, 3881, 5309, 5701, 6421, 6481, 6521, 6529, 7349, 7489, 7789, 8641, 8849, 9349, 9629, 9649, 9689, 9829, 10321, 10709, 10861, 12841, 14321, 14561, 15061, 16661
Offset: 1
Examples
p = c//a//b: 292021, 409120391, 461380261, 661300589, 929920129, 1249960799, 12895601161, 13811020931, 18011680649, 19011820549, 208116401281, 260918801809, 262111002379, 27492580949, 30414403009, 330129401501, 388123603081, 53095300309, 570122205251 29^2=20^2+21^2, 409^2=120^2+391^2, 461^2=380^2+261^2, 661^2=300^2+589^2, 929^2=920^2+129^2, 1249^2=960^2+799^2, 1289^2=560^2+1161^2,1381^2=1020^2+931^2, 1801^2=1680^2+649^2, 1901^2=1820^2+549^2, 2081^2=1640^2+1281^2, 2609^2=1880^2+1809^2, 2621^2=1100^2+2379^2, 2749^2=2580^2+949^2, 3041^2=440^2+3009^2, 3301^2=2940^2+1501^2, 3881^2=2360^2+3081^2, 5309^2=5300^2+309^2, 5701^2=2220^2+5251^2
References
- W. W. R. Ball, H. S. M. Coxeter: Mathematical Recreations and Essays, New York: Dover, 1987
- L. E. Dickson: "Rational Right Triangles", ch. 4 in History of the Theory of numbers, vol. II, Dover Publications 2005
- W. Sierpinski: Pythagorean Triangles, Mineola, NY, Dover Publications, Inc, 2003
Extensions
More terms from Zak Seidov, Apr 04 2010
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