Prime Triplet Numbers

A group of three consecutive prime numbers that differ by 2 is called a prime triplet.

For example: (3, 5, 7) is the only prime triplet.


Solved Examples on Prime Triplet Numbers:

1. The prime triplet is

(a) 11, 15, 17;     (b) 7, 10, 17;     (c) 3, 5, 7;     (d) 17, 18, 19


Solution:

(a) 11, 15, 17

Difference between 15 and 11 = 4

Difference between 17 and 15 = 2


(b) 7, 10, 17

Difference between 10 and 7 = 3

Difference between 17 and 10 = 7


(c) 3, 5, 7

Difference between 5 and 3 = 2

Difference between 7 and 5 = 2


(d) 17, 18, 19

Difference between 18 and 17 = 1

Difference between 19 and 18 = 1


Only in (c) we can see that the three consecutive prime numbers (17, 18, 19) are differ by 2.

So, the correct option is (c).


2. Check whether the following is a prime triplet.

(i) 23, 29, 31;          (ii) 3, 5, 7.

Solution:

(i) 23, 29, 31

Difference between 29 and 23 = 6

Difference between 31 and 29 = 2

Therefore, the three consecutive prime numbers 23, 29, 31 are not differ by 2.

So, they are not prime triplet.


(ii) 3, 5, 7.

Difference between 5 and 3 = 2

Difference between 7 and 5 = 2

Therefore, the three consecutive prime numbers 3, 5, 7 are differ by 2.

So, they are prime triplet.

You might like these



5th Grade Numbers Page

5th Grade Math Problems

From Perfect Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

    Jul 19, 24 03:26 PM

    Decimal place value chart
    Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

    Read More

  2. Definition of Decimal Numbers | Decimal Part | Decimal Point |Examples

    Jul 19, 24 11:13 AM

    Decimal Numbers
    Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000

    Read More

  3. Addition and Subtraction of Fractions | Solved Examples | Worksheet

    Jul 19, 24 02:00 AM

    Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

    Read More

  4. Fractions in Descending Order |Arranging Fractions an Descending Order

    Jul 19, 24 02:00 AM

    We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

    Read More

  5. Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

    Jul 19, 24 01:59 AM

    Comparison Fractions
    We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…

    Read More