### Some articles on *primes, prime*:

Selberg Sieve - Description

... Let A be a set of positive integers ≤ x and let P be a set of

... Let A be a set of positive integers ≤ x and let P be a set of

**primes**... for p dividing d, when d is a product of distinct**primes**from P ... Let z be a positive real number and P(z) denote the product of the**primes**in P which are ≤ z ...Turán Sieve - Description

... Let A be a set of positive integers ≤ x and let P be a set of

... Let A be a set of positive integers ≤ x and let P be a set of

**primes**... the Ap for p dividing d, when d is a product of distinct**primes**from P ... a positive real number and P(z) denote the product of the**primes**in P which are ≤ z ...Landau's Problems - Progress Toward Solutions - Twin Prime Conjecture

... showed that the size of the gap between

... showed that the size of the gap between

**primes**could be far smaller than the average size of the**prime**gap Earlier, they conditionally proved a weaker version of the twin**prime**conjecture ... is the**prime**-counting function ... The twin**prime**conjecture replaces 20 with 2 ...Maier's Theorem

... In number theory, Maier's theorem (Maier 1985) is a theorem about the numbers of

... In number theory, Maier's theorem (Maier 1985) is a theorem about the numbers of

**primes**in short intervals for which Cramér's probabilistic model of**primes**gives the wrong answer ... It states that if π is the**prime**counting function and λ is greater than 1 then does not have a limit as x tends to infinity more precisely the lim ... Cramér's probabilistic model of**primes**predicts incorrectly that it has limit 1 when λ≥2 (using the Borel–Cantelli lemma) ...Carmichael's Totient Function Conjecture - Lower Bounds

... counterexample must be divisible by squares of the

... counterexample must be divisible by squares of the

**primes**dividing its totient value ... Klee's results imply that 8 and Fermat**primes**(**primes**of the form 2k+1) excluding 3 do not divide the smallest counterexample ...Main Site Subjects

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