arithmetic progression
- noun
- /ˌærɪˈmɛtɪk prəˈɡrɛʃən/
- Specialized
:
progresión aritmética
- Unfortunately, to get to at most four primes by this method, one would start having to get good prime number theorems in arithmetic progressions, which would require some numerical work on GRH in addition to RH.
Examples
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In an arithmetic progression, each term is formed by adding the same amount to the previous term.
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The sequence 2, 5, 8, 11 is an example of an arithmetic progression with a common difference of 3.
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But if you start with an arithmetic progression, and now I take just a subset of the elements of this progression.
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We've seen examples where if you take A to be an arithmetic progression, then a + a is more or less as small as it gets.
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As a consequence, it becomes necessary to obtain an accurate prime number theorem in arithmetic progressions with modulus as large as.
Blog text (26) -
An arithmetic progression can be easily identified when the differences between consecutive numbers are constant.
Surface Forms
Morphology
The parts 'arithmetic' (relating to numerical operations) and 'progression' (an ordered sequence) transparently indicate a number sequence governed by an arithmetic rule, so learners can infer it concerns numbers and their order. However, the precise technical sense — that consecutive terms differ by a constant amount — is a mathematical detail that may not be fully predictable for a B1 learner without specific math knowledge, so the expression is only partially compositional despite being cross-linguistically similar.
Etymology
The term arithmetic progression may come from old words meaning 'number' (arithmetic) and 'moving forward' (progression). Imagine numbers stepping forward by the same small amount each time, so it means a sequence where each number increases by the same amount.
