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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 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=0..28.

James Buddenhagen, Two Primes Cubed which Sum to a Square.

EXAMPLE

11 is in the sequence because 11 is -1 mod 12 and 11^3+37^3 = 228^2

CROSSREFS

Cf. A099807, A098970, A099808, A099809.

Sequence in context: A320984 A080050 A067254 * A227063 A286197 A287078

Adjacent sequences:  A099803 A099804 A099805 * A099807 A099808 A099809

KEYWORD

nonn

AUTHOR

James R. Buddenhagen, Oct 26 2004

STATUS

approved

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Last modified August 15 15:43 EDT 2020. Contains 336504 sequences. (Running on oeis4.)