Prime values of irreducible polynomials
Michael Filaseta (1988)
Acta Arithmetica
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Michael Filaseta (1988)
Acta Arithmetica
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Andrzej Schinzel (1984)
Acta Arithmetica
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Alberto Perelli (1996)
Revista Matemática Iberoamericana
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Let N be a large positive real number. It is well known that almost all even integers in the interval [N, 2N] are Goldbach numbers, i.e. a sum of two primes. The same result also holds for short intervals of the form [N, N+H], see Mikawa [4], Perelli-Pintz [7] and Kaczorowski-Perelli-Pintz [3] for the choice of admissible values of H and the size of the exceptional set in several problems in this direction. One may ask if similar results hold for thinner sequences of integers...
Andrzej Schinzel (1986)
Acta Arithmetica
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Al-Salam, W.A., Chihara, T.S. (1979)
Portugaliae mathematica
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A. Dubickas (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Bruno Gabutti, Giovanna Pittaluga, Laura Sacripante (1995)
Rendiconti del Seminario Matematico della Università di Padova
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A. Perelli, J. Pintz, S. Salerno (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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