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 A074936 Number of perfect powers between two successive nonprime prime powers. 0
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 3, 0, 0, 1, 0, 3, 0, 1, 1, 1, 1, 1, 4, 0, 3, 2, 2, 1, 0, 0, 1, 4, 2, 4, 1, 2, 2, 3, 0, 1, 6, 1, 1, 0, 6, 2, 7, 3, 1, 4, 1, 1, 2, 8, 3, 1, 0, 1, 1, 6, 1, 1, 9, 1, 5, 0, 5, 4, 1, 3, 0, 5, 1, 0, 10, 1, 3, 2, 12, 11, 2, 1, 1, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,15 LINKS Eric Weisstein's World of Mathematics, Perfect Power. Eric Weisstein's World of Mathematics, Prime Power. EXAMPLE There are three perfect powers with composite roots between A025475(15)=169=13^2 and A025475(15+1)=243=3^5: 196=(2*7)^2, 216=3^5 and 225=(3*5)^2; therefore a(15)=3. a(16)=0, since there are no perfect powers between A025475(16)=243=3^5 and A025475(16+1)=256=2^8. CROSSREFS Cf. A001597, A025475. Sequence in context: A005890 A104515 A171913 * A035655 A036857 A100655 Adjacent sequences:  A074933 A074934 A074935 * A074937 A074938 A074939 KEYWORD nonn AUTHOR Reinhard Zumkeller, Oct 10 2002 STATUS approved

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