Geodesic
Products of disjoint blocks of consecutive integers which are powers
Mariusz Skałba 1
1 Department of Mathematics, Computer Science and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 98 (2003) no. 1, pp. 1-3 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The product of consecutive integers cannot be a power (after Erdős and Selfridge), but products of disjoint blocks of consecutive integers can be powers. Even if the blocks have a fixed length $l\geq 4$ there are many solutions. We give the bound for the smallest solution and an estimate for the number of solutions below~$x$.
DOI : 10.4064/cm98-1-1
Keywords: product consecutive integers cannot power after erd selfridge products disjoint blocks consecutive integers powers even blocks have fixed length geq there many solutions bound smallest solution estimate number solutions below

Mariusz Skałba  1

1 Department of Mathematics, Computer Science and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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Mariusz Skałba. Products of disjoint blocks of consecutive
 integers which are powers. Colloquium Mathematicum, Tome 98 (2003) no. 1, pp. 1-3. doi: 10.4064/cm98-1-1

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