A085367 Semiprimes that can be expressed as the sum or difference of two cubes: intersection of A001358 and A045980.

9, 26, 35, 65, 91, 133, 169, 215, 217, 218, 335, 341, 386, 407, 469, 485, 511, 559, 721, 737, 793, 817, 866, 973, 1027, 1115, 1141, 1241, 1261, 1267, 1339, 1343, 1385, 1387, 1538, 1603, 1685, 1727, 1843, 1853, 1981, 2071, 2189, 2402, 2413, 2611, 2743, 2771

Offset: 1

Author

Hugo Pfoertner, Jun 25 2003

Keywords

• nonn

Examples

			a(1)=9 because 2^3+1^3=3*3, a(2)=26=3^3-1^3=2*13.
a(5)=91 is the smallest semiprime expressible in two different ways: 91=4^3+3^3=6^3-5^3=7*13.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001358, A045980, A085366.

Programs

PARI

T=thueinit('z^3+1);
is(n)=bigomega(n)==2 && #thue(T, n)
list(lim)=my(v=List()); forprime(p=2,lim\2, forprime(q=2,min(lim\p,p), if(#thue(T, p*q), listput(v,p*q)))); Set(v) \\ Charles R Greathouse IV, Nov 29 2014