| 1. | And no three integers of the same color form an arithmetic progression.
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| 2. | Dirichlet's theorem on arithmetic progressions demonstrates that this is indeed the case.
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| 3. | Knowledge of arithmetic progressions is also evident from the mathematical sources.
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| 4. | Recently, Binbin Zhou proved that the Chen primes contain arbitrarily long arithmetic progressions.
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| 5. | In fact, it is a most basic theorem of arithmetic progressions.
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| 6. | Logarithms were any arithmetic progression which corresponded to a geometric progression.
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| 7. | The substance of the result is duplicated in the intro of arithmetic progression.
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| 8. | The Green Tao theorem asserts the prime numbers contain arbitrary long arithmetic progressions.
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| 9. | Three consecutive primes in arithmetic progression is sometimes called a CPAP-3.
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| 10. | In particular, the entire set of prime numbers contains arbitrarily long arithmetic progressions.
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