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For more on Murty's result that the usual elementary approach is doomed to failure look at Paul Pollack's note Remarks on paper Hypothesis H and an impossibility theorem of Ram Murty There he shows that a commonly believed conjecture implies a generalization of Murty's result to a broader type of Euclidean proof.

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For more on Murty's result that the usual elementary approach is doomed to failure look at Paul Pollack's notesnote Remarks on Hypothesis H and an impossibility theorem of Ram Murty There he shows that a commonly believed conjecture (called Schinzel’s Hypothesis H) implies a generalization of Murty's result to a broader type of Euclidean proof.

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For more on Murty's result that the usual elementary approach is doomed to failure look at : math.uiuc.edu/%7Epppollac/euc4.pdf There Paul Pollack Pollack's notes There he shows that a commonly believed conjecture (called Schinzel’s Hypothesis H) implies a generalization of Murty's result to a broader type of Euclidean proof.

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