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- Primes_in_arithmetic_progression abstract "In number theory, the phrase primes in arithmetic progression refers to at least three prime numbers that are consecutive terms in an arithmetic progression. For example the sequence of primes (3, 7, 11), which is given by for .According to the Green-Tao theorem, there exist arbitrarily long sequences of primes in arithmetic progression. Sometimes (not in this article) the phrase may also be used about primes which belong to an arithmetic progression which also contains composite numbers. For example, it can be used about primes in an arithmetic progression of the form , where a and b are coprime, which according to Dirichlet's theorem on arithmetic progressions contains infinitely many primes, along with infinitely many composites. For integer k ≥ 3, an AP-k (also called PAP-k) is k primes in arithmetic progression. An AP-k can be written as k primes of the form a·n + b, for fixed integers a (called the common difference) and b, and k consecutive integer values of n. An AP-k is usually expressed with n = 0 to k − 1. This can always be achieved by defining b to be the first prime in the arithmetic progression.".
- Primes_in_arithmetic_progression wikiPageExternalLink page.php?sort=ArithmeticSequence.
- Primes_in_arithmetic_progression wikiPageExternalLink page.php?id=13.
- Primes_in_arithmetic_progression wikiPageExternalLink page.php?id=14.
- Primes_in_arithmetic_progression wikiPageExternalLink AP26v3.pdf.
- Primes_in_arithmetic_progression wikiPageID "11740178".
- Primes_in_arithmetic_progression wikiPageRevisionID "600936725".
- Primes_in_arithmetic_progression hasPhotoCollection Primes_in_arithmetic_progression.
- Primes_in_arithmetic_progression title "Prime Arithmetic Progression".
- Primes_in_arithmetic_progression urlname "PrimeArithmeticProgression".
- Primes_in_arithmetic_progression subject Category:Prime_numbers.
- Primes_in_arithmetic_progression type Abstraction100002137.
- Primes_in_arithmetic_progression type DefiniteQuantity113576101.
- Primes_in_arithmetic_progression type Measure100033615.
- Primes_in_arithmetic_progression type Number113582013.
- Primes_in_arithmetic_progression type Prime113594005.
- Primes_in_arithmetic_progression type PrimeNumber113594302.
- Primes_in_arithmetic_progression type PrimeNumbers.
- Primes_in_arithmetic_progression comment "In number theory, the phrase primes in arithmetic progression refers to at least three prime numbers that are consecutive terms in an arithmetic progression. For example the sequence of primes (3, 7, 11), which is given by for .According to the Green-Tao theorem, there exist arbitrarily long sequences of primes in arithmetic progression. Sometimes (not in this article) the phrase may also be used about primes which belong to an arithmetic progression which also contains composite numbers.".
- Primes_in_arithmetic_progression label "Primes in arithmetic progression".
- Primes_in_arithmetic_progression label "Арифметические прогрессии из простых чисел".
- Primes_in_arithmetic_progression sameAs 소수로_이루어진_등차수열.
- Primes_in_arithmetic_progression sameAs m.02rqr_5.
- Primes_in_arithmetic_progression sameAs Q1043113.
- Primes_in_arithmetic_progression sameAs Q1043113.
- Primes_in_arithmetic_progression sameAs Primes_in_arithmetic_progression.
- Primes_in_arithmetic_progression wasDerivedFrom Primes_in_arithmetic_progression?oldid=600936725.
- Primes_in_arithmetic_progression isPrimaryTopicOf Primes_in_arithmetic_progression.