[openssl] RSA: Get exponent and modulus given a public key

I need to encrypt some data using RSA in JavaScript. All of the libraries around ask for an exponent and a modulus, yet I get a single public.key file from my opponent.

How do you retrieve the public exponent and modulus part from an RSA file?

This question is related to openssl rsa public-key

The answer is


If you need to parse ASN.1 objects in script, there's a library for that: https://github.com/lapo-luchini/asn1js

For doing the math, I found jsbn convenient: http://www-cs-students.stanford.edu/~tjw/jsbn/

Walking the ASN.1 structure and extracting the exp/mod/subject/etc. is up to you -- I never got that far!


Apart from the above answers, we can use asn1parse to get the values

$ openssl asn1parse -i -in pub0.der -inform DER -offset 24
0:d=0  hl=4 l= 266 cons: SEQUENCE
4:d=1  hl=4 l= 257 prim:  INTEGER           :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
265:d=1  hl=2 l= 3 prim:  INTEGER           :010001

Now, to get to this offset,we try the default asn1parse

$ openssl asn1parse -i -in pub0.der -inform DER
 0:d=0  hl=4 l= 290 cons: SEQUENCE
 4:d=1  hl=2 l=  13 cons:  SEQUENCE
 6:d=2  hl=2 l=   9 prim:   OBJECT            :rsaEncryption
17:d=2  hl=2 l=   0 prim:   NULL
19:d=1  hl=4 l= 271 prim:  BIT STRING

We need to get to the BIT String part, so we add the sizes

depth_0_header(4) + depth_1_full_size(2 + 13) + Container_1_EOC_bit + BIT_STRING_header(4) = 24

This can be better visialized at: ASN.1 Parser, if you hover at tags, you will see the offsets

Another amazing resource: Microsoft's ASN.1 Docs


I manage to find the answer for this solution, have to do javascript injection for this to install atob

const atob:any = require('atob');
asn1(pem: any){
      asn1parser.Enc.base64ToBuf = function (b64:any) {
    return asn1parser.Enc.binToBuf(atob(b64));
  };
  const dertest = asn1parser.PEM.parseBlock(pem).der;
   var hex = asn1parser.Enc.bufToHex(asn1parser.PEM.parseBlock(pem).der)
   var buf = asn1parser.ASN1.parse(dertest);
  var asn1 = JSON.stringify(asn1parser.ASN1.parse(dertest), asn1parser.ASN1._replacer, 2 );

Mostly for my own reference, here's how you get it from a private key generated by ssh-keygen

openssl rsa -text -noout -in ~/.ssh/id_rsa

Of course, this only works with the private key.


Beware the leading 00 that can appear in the modulus when using:

openssl rsa -pubin -inform PEM -text -noout < public.key

The example modulus contains 257 bytes rather than 256 bytes because of that 00, which is included because the 9 in 98 looks like a negative signed number.


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