Co-Prime and Twin Prime Numbers
Co-Prime and Twin Prime Numbers
Prime Numbers: A number which has only two different factors, 1 and the number itself is called prime number. e.g. 2, 3, 5, 7
Co-Prime Numbers: Two numbers are said to be co-prime when they have only 1 as common factor.e.g. 3 and 5: 19 and 20
Twin Prime Numbers: Two prime numbers whose difference is 2 are called are called Twin Prime Numbers. e.g. 3 and 5: 41 and 43.
Illustration: State whether the following numbers are co-prime or not.
(i) 4 and 17
(ii) 25 and 15
(iii) 13 and 19
(iv) 56 and 12
Solution: (i) As 4 and 17 have only 1 as common factor. Hence 4 and 17 are co-prime numbers.
(ii) As 25 and 15 have common factors as 5,1 . Hence 25 and 15 are not co-prime numbers.
(iii) As 13 and 19 have only 1 as common factor. Hence 13 and 19 are co-prime numbers.
(iv) As 56 and 12 have common factors as 2, 4,1. Hence 56, 12 are not co-prime numbers.
Illustration: How many twin prime numbers are there in between 90 and 100?
Solution: There are no Twin Prime Numbers between 90 and 100.
Consider the following statement : i. The product of two composite numbers remains same on changing their order. ii. The product of a pair of co-primes is changed on changing their order. | |||
| Right Option : C | |||
| View Explanation |
If p and q are co-prime numbers then is p2 and q2 are also co-prime? | |||
| Right Option : A | |||
| View Explanation | |||
Which of the following pairs of number are co-primes? | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
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Manish Kumar
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
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Shivam Rana
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