Instructions

What should come in place of the question mark (?) in the following number series ?

Question 104

1331, 2197, 4913, 6859, ?, 24389

Solution

Each number is a cube of consecutive prime numbers starting from 11

$$11^3$$ = 1331

$$13^3$$ = 2197

$$17^3$$ = 4913

$$19^3$$ = 6859

$$23^3$$ = 12167

$$29^3$$ = 24389

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