OFFSET
0,1
COMMENTS
For each n let a=A099806[n], b=A099807[n], c/12=A098970. Then a^3+b^3=c^2. The left side factors as (a+b)*(a^2-a*b+b^2). The second factor is 3*e^2 for some integer e. The sequence tabluates the 'e' values. These 'e' values all have the form 3*M^4+N^4, for some pair M,N of relatively prime integers of opposite parity. Remember, a and b are prime numbers.
LINKS
James Buddenhagen, Two Primes Cubed which Sum to a Square.
EXAMPLE
11^3+37^3=228^2, 11^2-11*37+37^2=3*e^2 with e=19, so 19 is in the sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
James R. Buddenhagen, Oct 26 2004
STATUS
approved