Find the least positive integer d for which there exists an arithmetic progression satisfying the following properties:

Each term of the progression is a positive integer. The common difference of the progression is d . No term of the progression appears in the Fibonacci sequence. Details and assumptions

The Fibonacci sequence is defined by F(1)=1 , F(2)= 1 and F(n+2) = F(n+1) + F(1) for n>=1 ,The arithmetic progression has infinitely many terms

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