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
Terms Used in Division | Dividend | Divisor | Quotient | Remainder
The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?
Successor and Predecessor | Successor of a Whole Number | Predecessor
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also
Worksheets on Comparison of Numbers | Find the Greatest Number
In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging the numbers etc…. Find the greatest number:
Number Worksheets | Practice Different Questions on Numbers | Answers
In number worksheets, students can practice different questions on numbers from printable free worksheets for grade 4 math on numbers. Write the number which is 1 more than 9? Write the number which
Comparison of Numbers | Compare Numbers Rules | Examples of Comparison
Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits from left most place until we come across unequal digits. To learn
Formation of Numbers | Smallest and Greatest Number| Number Formation
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
Formation of Numbers with the Given Digits |Making Numbers with Digits
In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.
Formation of Greatest and Smallest Numbers | Arranging the Numbers
the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number increases its place value. So the greatest digit should be placed at the
Place Value | Place, Place Value and Face Value | Grouping the Digits
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know that the position of a digit in a number determines its corresponding value
Expanded Form of a Number | Writing Numbers in Expanded Form | Values
We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: In 2385, the place values of the digits are
Worksheet on Place Value | Place Value of a Digit in a Number | Math
Worksheet on place value for fourth grade math questions to practice the place value of a digit in a number. 1. Find the place value of 7 in the following numbers: (i) 7531 (ii) 5731 (iii) 5371
Worksheet on Expanded form of a Number | Expanded Form of a Number
Worksheet on expanded form of a number for fourth grade math questions to practice the expanded form according to the place values of its digit. 1. Write the expanded form of the following numbers
Examples on the Formation of Greatest and the Smallest Number |Example
In examples on the formation of greatest and the smallest number we know that the procedure of arranging the numbers in ascending and descending order.
Worksheet on Formation of Numbers | Questions on Formation of Numbers
In worksheet on formation of numbers, four grade students can practice the questions on formation of numbers without the repetition of the given digits. This sheet can be practiced by students
Rounding off Numbers | Nearest Multiple of 10 | Nearest Whole Number
Rounding off numbers are discussed here, where we need to round a number. (i) If we purchase anything and its cost is $12 and 23¢, the cost is rounded up to it’s nearest $ 12 and 23¢ is left. (ii) If we purchase another thing and its cost is $15.78. The cost is rounded up
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.
Recent Articles
-
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together. -
Estimating Sums and Differences | Estimations | Practical Calculations
Jan 12, 25 02:02 PM
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is requir… -
Combination of Addition and Subtraction | Mixed Addition & Subtraction
Jan 12, 25 01:36 PM
We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add -
Checking Subtraction using Addition |Use Addition to Check Subtraction
Jan 12, 25 01:13 PM
We can check subtraction by adding the difference to the smaller number. Since the sum of difference and smaller number is equal to the larger number, subtraction is correct. -
Worksheet on Subtraction of 4-Digit Numbers|Subtracting 4-Digit Number
Jan 12, 25 09:04 AM
Practice the questions given in the worksheet on subtraction of 4-digit numbers. Here we will subtract two 4-digit numbers (without borrowing and with borrowing) to find the difference between them.
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.