Twin prime problem is well known in number theory. Sieve methods can only give almost primes because of the parity phenomenon. By the switching principle and an inequality of Ng type we prove a lower bound of the expected magnitude order for primes p such that p+2 has 2 or 3 prime factors and conditions on the largest and the least prime factor.

p+2 with few and bounded prime factors

SALERNO, Saverio;VITOLO, Antonio
1991

Abstract

Twin prime problem is well known in number theory. Sieve methods can only give almost primes because of the parity phenomenon. By the switching principle and an inequality of Ng type we prove a lower bound of the expected magnitude order for primes p such that p+2 has 2 or 3 prime factors and conditions on the largest and the least prime factor.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3137482
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