Consider the first eight prime numbers greater than 3. The numbers are 5, 7, 11, 13, 17,
Question:
Consider the first eight prime numbers greater than 3. The numbers are 5, 7, 11, 13, 17, 19, 23, and 29.
(a) Determine which of these prime numbers differs by 1 from a multiple of the number 6.
(b) Use inductive reasoning and the results obtained in part (a) to make a conjecture regarding prime numbers.
(c) Select a few more prime numbers and determine whether your conjecture appears to be correct.
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
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