Directions: Find the wrong term in the following series. 361, 529, 841, 961, 1369, 1521
Reveal answer
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Directions: Find the wrong term in the following series. 361, 529, 841, 961, 1369, 1521
1521
1369
961
841
529
The series consists of squares of prime numbers: 19^2=361, 23^2=529, 29^2=841, 31^2=961, 37^2=1369. The next prime after 37 is 41, and 41^2 = 1681. The term 1521 is 39^2, which is not a prime square.
All the given numbers except 1521 are perfect squares of consecutive prime numbers. The sequence of bases is 19 squared for 361, 23 squared for 529, 29 squared for 841, 31 squared for 961, and 37 squared for 1369. The number 1521 is 39 squared, but 39 is a composite number and not a prime, making it the wrong term in the series.