how that there are arbitrarily large gaps in the sequence of primes, i.e., that for any natural number n there exists a sequencea, a + 1, . . . , a + n of natural numbers, where none of the numbers are prime
how that there are arbitrarily large gaps in the sequence of primes, i.e., that for any natural number n there exists a sequencea, a + 1, . . . , a + n of natural numbers, where none of the numbers are prime
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Show that there are arbitrarily large gaps in the sequence of primes, i.e., that for any natural number n there exists a sequencea, a + 1, . . . , a + n of natural numbers, where none of the numbers are prime.
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