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Prime numbers and Dirichlet's theorem

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#prime-numbers #arithmetic #arithmetic-progressions
436
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No infinite arithmetic progression exists with prime numbers

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#elementary-number-theory #prime-numbers #arithmetic-progressions #prime-gaps #coprime
29
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Is it possible to find a certain co-prime number in this arithmetic progression?

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#number-theory #arithmetic-progressions
120
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Triangle of Fibonacci

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#sequences-and-series #binomial-coefficients #fibonacci-numbers #means #arithmetic-progressions
257
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How to find the largest value of $n$ such that $S_n = \sum_{k = 1}^n (2k + 1) < 68$

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#sequences-and-series #arithmetic-progressions
376
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Prove that we can express $n^k$ as a sum of $n$ consecutive odd natural numbers

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#number-theory #elementary-number-theory #arithmetic-progressions #perfect-powers
92
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Sum of reciprocal powers of arithmetic series

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#sequences-and-series #arithmetic-progressions
141
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A specific sequence such that there is no three-term arithmetic progression in the sequence: does the corresponding series of reciprocals diverge?

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#sequences-and-series #combinatorics #convergence-divergence #arithmetic-progressions
80
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Maximum size of subset without $k$ different three-term arithmetic progressions

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#combinatorics #field-theory #arithmetic-progressions #extremal-combinatorics
51
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Find the values $p$ and $q$ for when the geometric series converges

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#sequences-and-series #arithmetic-progressions #geometric-series
165
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Find the values of a and b from arithmetic and geometric series

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#sequences-and-series #arithmetic-progressions #geometric-series
54
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Looking for an expansion on the AP sum formula

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#sequences-and-series #arithmetic-progressions #geometric-progressions
279
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A combined arithmetic and geometric sequence question

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#sequences-and-series #arithmetic-progressions
553
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Least Prime in Arithmetic Progression Conjecture

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#number-theory #prime-numbers #arithmetic-progressions
98
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What is the proof that subtracting $1$ from each term of integer sequence $A003278$ gives integer sequence $A005836?$

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#sequences-and-series #proof-explanation #integers #arithmetic-progressions

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