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 |
Choose the co-prime numbers from the following pairs. | |||
| Right Option : B | |||
| View Explanation |
Which of the following pairs are co-prime? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
It 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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Shreya Shrivastava
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7thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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Hridey Preet
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Om Umang
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Archit Segal
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
