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show that there is no A.P. which consists only of distinct prime numbers


vk6646029 11th Oct, 2020
Answer (1)
Pratyaksha Goswami 20th Oct, 2020

Hi

If you show the smallest prime numbers, for an example, then it will be........

2,3,5....

We know, In A.P., a2-a1 should be equal to a3-a2, since in an arithmetic progression the increase should be constant. However, in this case,

3-2=1 is not equal to 5-3=2. So, this is not an A.P.

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