If n is natural number less than 7, then what is the number of values of n for which (12n+2) and (8n+ 1) are relatively prime?

Explanation

Testing for n = 1 to 6. Let a = 12n+2 and b = 8n+1. For n=1, (14, 9) are relatively prime. For n=2, (26, 17) are RP. For n=3, (38, 25) are RP. For n=4, (50, 33) are RP. For n=5, (62, 41) are RP. For n=6, (74, 49) are RP. They are relatively prime for all 6 values.

Related questions on Arithmetic

• What is the remainder when (17^{25} + 19^{25}) is divided by 18?
• A bottle contains spirit and water in the ratio 1:4 and another identical bottle contains spirit and water in the ratio 4:1. In what rat...
• Let P = 5^5 \times 15^{15} \times 25^{25} \times 35^{35} and Q = 10^{10} \times 20^{20} \times 30^{30} \times 40^{40}. What is the numbe...
• Two students X and Y appeared in a test. The score of X is 20 more than that of Y. If the score of X is 75% of the sum of the scores of X an...
• Question: The product of a natural number N and the number M written by the same digits of N in the reverse order is 252. What is the number...