# How to attack RSA with 13 primes

Could give me method to attack RSA when N decomposes into multiple primes And this is the topic N = 18086135173395641986123054725350673124644081001065528104355398467069161310728333370888782472390469310073117314933010148415971838393130403883412870626619053053672200815153337045022984003065791405742151350233540671714100052962945261324862393058079670757430356345222006961306738393548705354069502196752913415352527

e = 9074407119435549226216306717104313210750146895081726439798095976354600576814818348656600684713830051655944443364224597709641982342039946659987121376590618828822446965847273448794324003758131816407702456966504389655568712152599077538994030379567217702587542326383955580601916478060973206347266442527564009737910

You can decode it?

• $N$ decomposes to $42$ primes, not $13$. Apr 17, 2018 at 11:10

Could give me method to attack RSA when N decomposes into multiple primes

First, factor N, e.g. using trial division or Pollard's rho. Next, compute the decryption exponent, or use the method described in this answer to the question “RSA enc/decryption with multiple prime modulus using CRT”.

You can decode it?

Yes.

Nota bene: If you expect a more in-deep answer, you should edit your question and describe what research you have done, what you have tried, and where exactly you got stuck. For further details, read How do I ask a good question? (I‘m posting this as a “community wiki” answer so it can be modified by anyone to adapt things in case you edit your question.)