Easy prime number question. Need help or answer

Algebra
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How many natural numbers between 43 and 274 are relatively prime to 15? And how could you determine how many natural numbers were relatively prime to 15 between any pair of natural numbers, a and b?

Jun 1st, 2015

The 125 numbers between 43 and 274 inclusive that are relatively prime to 15 are 43, 44, 46, 47, 49, 52, 53, 56, 58, 59, 61, 62, 64, 67, 68, 71, 73, 74, 76, 77, 79, 82, 83, 86, 88, 89, 91, 92, 94, 97, 98, 101, 103, 104, 106, 107, 109, 112, 113, 116, 118, 119, 121, 122, 124, 127, 128, 131, 133, 134, 136, 137, 139, 142, 143, 146, 148, 149, 151, 152, 154, 157, 158, 161, 163, 164, 166, 167, 169, 172, 173, 176, 178, 179, 181, 182, 184, 187, 188, 191, 193, 194, 196, 197, 199, 202, 203, 206, 208, 209, 211, 212, 214, 217, 218, 221, 223, 224, 226, 227, 229, 232, 233, 236, 238, 239, 241, 242, 244, 247, 248, 251, 253, 254, 256, 257, 259, 262, 263, 266, 268, 269, 271, 272, and 274.

Jun 1st, 2015

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Jun 1st, 2015
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Jun 1st, 2015
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