On the Number of Prime Facttors of Integers Characterized by Digit Properties
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The number of distinct prime factors of integers with missing digits is considered, and both the normal order and large values of the ω function over sets of this type are studied. A conjecture of Mauduit and Sárközy, on large values of the Ω function over integers whose sum of digits is fixed, is also proved.
KeywordsPrime Factor Normal Order Distinct Prime Factor Digit Property
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