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Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?

  • algebra -

    I did this question here

    Somebody called "tsong" disagreed, but clearly did not read my solution, since I "proved" that there is only one such case,
    when the GS is 1 , 1, 1
    that is, when the common ratio is 1
    then 1 + 1^2 + 1^4 = 3 , which is a prime number

    conclusion: there is only ONE such sequence.

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