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This question already has an answer here:

As the title states I need to prove there are infinitely primes of the form $16n+1$ but I have absolutely no idea how to do it.

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marked as duplicate by Rory Daulton, Dietrich Burde, lulu, Jyrki Lahtonen Apr 20 '16 at 20:59

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem. In your case, have you researched any similar propositions, such as for the form $4n+1$? What relevant theorems have you already learned? $\endgroup$ – Rory Daulton Apr 20 '16 at 20:51