Math Problem Statement
The conjecture 'if n is a whole number, then 3n + 1 is a prime number' is disproved by which statement? Options: A) 3×2+1=7, B) 3×6+1=19, C) 3×4+1=13, D) 3×8+1=25
Solution
The question asks which statement disproves the conjecture that is a prime number when is a whole number. Let's analyze each option:
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Option A:
is a prime number. This does not disprove the conjecture. -
Option B:
is a prime number. This does not disprove the conjecture. -
Option C:
is a prime number. This does not disprove the conjecture. -
Option D:
is not a prime number (it is divisible
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Math Problem Analysis
Mathematical Concepts
Prime Numbers
Algebra
Arithmetic Operations
Formulas
3n + 1
Theorems
Definition of Prime Numbers
Suitable Grade Level
Grades 6-8