List the pairs of prime numbers less than 100 whose sum is divisible by 10.
Answers
Answer:
All the prime numbers less than 100 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
All the pairs of prime numbers whose sum is divisible by 10 are:
3 , 7
3 , 17
3 , 37
3 , 47
3 , 67
3 , 97
7 , 13
7 , 23
7 , 43
7 , 53
7 , 73
7 , 83
11 , 19
11 , 29
11 , 59
11 , 79
11 , 89
13 , 17
13 , 37
13 , 47
13 , 67
13 , 97
17 , 23
17 , 43
17 , 53
17 , 73
17 , 83
19 , 31
19 , 41
19 , 61
19 , 71
23 , 37
23 , 47
23 , 67
23 , 97
29 , 31
29 , 41
29 , 61
29 , 71
31 , 59
31 , 79
31 , 89
37 , 43
37 , 53
37 , 73
37 , 83
41 , 59
41 , 79
41 , 89
43 , 47
43 , 67
43 , 97
47 , 53
47 , 73
47 , 83
53 , 67
53 , 97
59 , 61
59 , 71
61 , 79
61 , 89
67 , 73
67 , 83
71 , 79
71 , 89
73 , 97
83 , 97
Total such pairs are = 67
(7 and 3) = 10/10 = 1
(13 + 7) = 20/10 = 2
(17 + 3) = 20/10 = 2
(19 + 11) = 30/10 = 3
(23 + 7) = 30/10 = 3
(29 + 11) = 50/10 = 5
(37 + 3) = 40/10 = 4
(43 + 7) = 50/10 = 5
(47 + 3) = 50/10 = 5
(53 + 7) = 60/10 = 6
(59 + 11) = 70/10 = 7
(67 + 3) = 70/10 = 7
(73 + 7) = 80/10 = 8
(79 + 11) = 90/10 = 9
(83 + 7) = 90/10 = 9
(89 + 11) = 100/10 = 10
(97 + 3) = 100/10 = 10
Step-by-step explanation:
- Prime numbers are described as any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
- These numbers are only divisible with 1 and the number itself. Except 2, no even number is a prime number.
- The 17 pairs of prime numbers less than 100 that have a sum that is divisible by 10 are mentioned above along with the division.
Learn more: prime numbers
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