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A099806
If a,b are prime numbers satisfying the Diophantine equation a^3+b^3=c^2, then a is -1 mod 12 and b is 1 mod 12, or vice versa. Choose 'a' to be -1 mod 12. This is the sequence of 'a' values, sorted by the magnitude of c.
4
11, 8663, 28703, 56999, 44111, 86291, 87959, 16931, 246011, 54083, 367823, 552011, 457511, 571019, 765983, 1586531, 1915163, 2437751, 16139, 2305883, 4074743, 3963299, 1296563, 5440991, 4683779, 2238023, 9682703, 8681639, 8142803
OFFSET
0,1
COMMENTS
All terms of this sequence are of the form 3*M^4-N^4+6*M^2*N^2 for some pair M,N of relatively prime positive integers of opposite parity.
EXAMPLE
11 is in the sequence because 11 is -1 mod 12 and 11^3+37^3 = 228^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved