On additive problems with prime numbers of special type

• Autorzy: Meng X. , Wang M.
• Języki publikacji: EN

Abstrakty

EN

Let Pk denote any integer with no more than k prime factors, counted according to multiplicity. It is proved that for almost all sufficiently large integers n, satisfying n is identical with 0 or 1 (mod 3), the equation n = p1+p2/2 +p2/3 has a solution in primes p1, p2, p3 such that p1+2 = P6, p2+2 = P5, p3+2 = P5. It is also proved that for every suffciently large integer M is identical with 0 or 2 (mod 3), the equation M = p1+p2/2+p2/3+p2/4+p2/5 has a solution in primes p1, ź ź ź , p5 such that p1+2 = P6, p2+2 = P5, p3+2 = P5, p4+2 = P2, p5+2 = P'/2.

Słowa kluczowe

EN

sieve method; additive problem; prime numbers; number theory

PL

metoda sito; zagadnienie addytywne; liczby pierwsze; teoria liczb

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 2
• Strony: 271--287
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Meng X.

autor

Wang M.

• Department of Statistics and Mathematics Shandong Finance Institute Jinan, 250014, P.R. China,

Bibliografia

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