OFFSET
1,2
EXAMPLE
8 = 1+7; 27 = 8+19; 64 = 27+37; 125 = 64+61; 343 = 125+2*109; 729 = 343+2*193.
216 = 6^3 is not in the sequence, since 216-125 = 91 = 7*13 and 13 is smaller than the previously used prime 37.
PROG
(PARI) {q=1; print1(a=1, ", "); for(n=2, 140, c=n^3; f=factor(c-a); if((p=f[matsize(f)[1], 1])>=q, print1(c, ", "); q=p; a=c))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Giovanni Teofilatto, Oct 14 2005
EXTENSIONS
Edited, corrected and extended by Klaus Brockhaus, Oct 16 2005
STATUS
approved