منابع مشابه
On the Integers of the Form P
We prove that the sumset {p + b + 2 : p is prime and b, n ∈ N} has a positive lower density. We also construct a residue class with odd modulo, which contains no integer of the form p + b +2. And similar results are established for the sumset {b 1 + b 2 + 2 2 : b1, b2, n ∈ N}.
متن کاملOn the Integers of the Form
We prove that the sumset {p2+b2+2n : p is prime and b, n ∈ N} has positive lower density. We also construct a residue class with an odd modulus that contains no integer of the form p2 + b2 + 2n. Similar results are established for the sumset {b1 + b2 + 2n 2 : b1, b2, n ∈ N}.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2006
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa122-1-4