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URL: https://oeis.org/A098970

⇱ A098970 - OEIS

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A098970
Numbers k such that (12*k)^2 can be expressed as the sum of the cubes of two distinct primes.
5
19, 67695, 411292, 1134035, 1184876, 2112836, 2455255, 4073384, 11293009, 16171470, 18589912, 34388501, 63609329, 63711615, 117446600, 166530856, 284034387, 449805631, 637548135, 685361103, 783484793, 888180400, 1121365940, 1201090226, 2705984050, 2886126133, 2971774288, 3232293015
OFFSET
1,1
COMMENTS
This sequence resulted from a discussion on the seqfan mailing list started by Ed Pegg Jr.
Dean Hickerson and Paul C. Leopardi have shown that if a and b are distinct primes with a^3 + b^3 = c^2, then c must be divisible by 12.
The numbers 12*k form a subsequence of A099426. - Hans Havermann, Oct 24 2004
All terms of this sequence are of the form M*N*(3*M^4+N^4)/2 for some pair M,N of relatively prime positive integers of opposite parity. For each n, A099806(n)^3 + A099807(n)^3 = (12*A098970(n))^2. - James R. Buddenhagen, Oct 26 2004
CROSSREFS
KEYWORD
nonn,changed
AUTHOR
Hugo Pfoertner, Oct 24 2004
EXTENSIONS
More terms from James R. Buddenhagen, Oct 26 2004
a(24)-a(28) from Zhining Yang, Mar 30 2026
STATUS
approved