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

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

vk6646029 11th Oct, 2020

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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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