Solve the problem.Euler conjectured that the formula n2 - n + 41 would generate prime numbers for whole numbers n. The formula generates prime numbers for n up to 40 and fails at n = 41. Evaluate Euler's formula for n = 42 and determine whether this is a prime number. If it is not a prime number, give its prime factors.

What will be an ideal response?


1763. Not a prime number. Factors are 41 and 43.

Mathematics

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Simplify the exponential expression.  -2

A. y10
B.
C.
D.

Mathematics

Express the number in scientific notation.2500

A. 2.5 × 10-2 B. 2.5 × 10-3 C. 2.5 × 103 D. 2.5 × 102

Mathematics

Find u ? v.u = 9i + 8j,  v = 10i - 7j

A. -56 B. 146 C. 34 D. 90

Mathematics

Solve the problem.Given that P(A) = 0.68, P(B) = 0.11, and P(A ? B) = 0.07, find P(A ? B).

A. 0.79 B. 0.86 C. 0.65 D. 0.72

Mathematics