Products of disjoint blocks of consecutive integers which are powers

Mariusz Skałba

Colloquium Mathematicae (2003)

  • Volume: 98, Issue: 1, page 1-3
  • ISSN: 0010-1354

Abstract

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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 ≥ 4 there are many solutions. We give the bound for the smallest solution and an estimate for the number of solutions below x.

How to cite

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Mariusz Skałba. "Products of disjoint blocks of consecutive integers which are powers." Colloquium Mathematicae 98.1 (2003): 1-3. <http://eudml.org/doc/284443>.

@article{MariuszSkałba2003,
abstract = {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 ≥ 4 there are many solutions. We give the bound for the smallest solution and an estimate for the number of solutions below x.},
author = {Mariusz Skałba},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {1-3},
title = {Products of disjoint blocks of consecutive integers which are powers},
url = {http://eudml.org/doc/284443},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Mariusz Skałba
TI - Products of disjoint blocks of consecutive integers which are powers
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 1
SP - 1
EP - 3
AB - 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 ≥ 4 there are many solutions. We give the bound for the smallest solution and an estimate for the number of solutions below x.
LA - eng
UR - http://eudml.org/doc/284443
ER -

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