RSA测试

http://crypt-online.ru/en/crypts/rsa/

keysize 2048

public key(Hex)

85da3d445b203823daa4727eb5701d9c405ed6b1b658d098fb5e8cbbbe2d10b6
d885fc4bbee105d7e5c0d6c970fff5973c647ee8a201239f379796b628203ac7
2d9d05d18a5796a30ad4b8fbde73cc398057ad856c971567e5d5f8fe47785518
417e0947ec9df8a63c517bbc3783cede111fc5467ee8df1a5b8e74abd5cf46da
876ca61f74b5bb998dc7021eb397fc55585137f74763d249ce256fc92437a894
230071a70d95d737928231120b665a0ca3e48124c9a001525070cf6f0bf79346
1d506ce67f7527c24aa3b70c8bd327eae19abebe27393e3927ac0d06789e129d
ae52e455084eec63a4bc35470ecf71a65c2ff78a3596841f3ed998d4acc6d1ed

private key(Hex)
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Text

123

Encrypted result(Hex)

051d820df327c86feb60f6ab9b4e7c72f60f71fea88c4a80ae797ec95c1eb199
6ca31c57253f0b14c236ca6d82ff1e1d4f7682c3c9bc49ce242c7986186d6acb
41d68bfe473e1edc168b7a882c1b2934aaa01c03a69d0cdf649b945b275a6e2e
f25c1f9516d3a99d26dbb7cf558db0455738da2bac83a1f39e6ec0d3ad717e7f
418fe8c07de06e910a775ed55d69d83df81ea6cd06c9c1e20bdfd7bbd22cae47
cad0d7e37cf79b6394592be3991635e7b60cc50e35b4265c3d93def720906666
5992f608eba1c4f2a8c1ed430eb17d8cc057486bc3a270264259a25d029c3e93
9ee260e93d6618beab18ed14e7b96ded3e5fdc515e9a6002b7e20f457c1ece1f

Decrypted result

123

I took a look at what that site is doing and it appears that the "public key" in the public key textbox is just the modulus from the RSA key (n), hex encoded. An RSAPublicKey consists of the modulus (n) and the public exponent (e) in an ASN.1 sequence.

    RSAPublicKey ::= SEQUENCE {
        modulus           INTEGER,  - n
        publicExponent    INTEGER   - e
    }

Having just the n value from that site isn't enough. Anecdotally, the site appears to use a hard coded e of 0x10001, which is actually fine.

If you need to generate an RSA key, I would recommend using something that can export to a standardized key format. Using .NET for example:

using System.Security.Cryptography;

using RSA rsa = RSA.Create(2048);
byte[] pkcs1PublicKey = rsa.ExportRSAPublicKey();

用这里的代码，导出一个字节数组，并且打印Hex

pkcs1PublicKey.Length = 270
3082010a0282010100d095bcfebef1361f3daa081254d017ddd3f7a3cb0fc71a9cf3bac8ccc1f72121ee26993388c1b44663bd083f1e8944b06a559e65ff777ef8d84c1fd4388318cfc74856afd63f116f999bc461e3e06d921f315ef40225f7077524faeaf1a7d10887e89f0b76f2ad95a87089d274d9b400a80e72bb4dfcad42380f02e746807ecebefb370392b78c7b125ea26fc27b50f9c470cf5d7b39f684b6d7318accbd9b5e36747f9ee54f8ab226444ba5728e34fef4ea06b3ed9cb6c65f8495314ca9442ea089db655de70e6a665fc5057be76d26b82cb2a16c8dc72ccf39cfacd926d732242496f480606d6626f3a4300a8ec583b43b4127a81544e2be19dde0c2d19f6d0203010001
pkcs1PrivateKey.Length = 1192
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

 RSAPrivateKey ::= SEQUENCE {
             version           Version,
             modulus           INTEGER,  -- n
             publicExponent    INTEGER,  -- e
             privateExponent   INTEGER,  -- d
             prime1            INTEGER,  -- p
             prime2            INTEGER,  -- q
             exponent1         INTEGER,  -- d mod (p-1)
             exponent2         INTEGER,  -- d mod (q-1)
             coefficient       INTEGER,  -- (inverse of q) mod p
             otherPrimeInfos   OtherPrimeInfos OPTIONAL
         }

公钥

270
parameters.D.Length =
parameters.D =
parameters.DP.Length =
parameters.DP =
parameters.DQ.Length =
parameters.DQ =
parameters.Exponent.Length = 3
parameters.Exponent = 010001
parameters.InverseQ.Length =
parameters.InverseQ =
parameters.Modulus.Length = 256
parameters.Modulus = 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
parameters.P.Length =
parameters.P =
parameters.Q.Length =
parameters.Q =

私钥

1192
parameters.Modulus.Length = 256
parameters.Modulus = 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
parameters.Exponent.Length = 3
parameters.Exponent = 010001
parameters.D.Length = 256
parameters.D = 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
parameters.P.Length = 128
parameters.P = eeac9b9c7f81224c4b83c7c234de144fab5743340c5b7f3685228552ba159ba98456669b7104801c1cf74ff36944a0574e552f7a0ce2a196461fca9f9c8423ac4129bd9c8fb51b82071a84d5d4b6e2f9f6d3b61513b35ac04b9ad99eb8b297d18291c45ae1140aedf8cda3298686842310e91fb5f332953eeb3ba5deb056a4bf
parameters.Q.Length = 128
parameters.Q = dfb9f7744c9c6ad7735537dd41211e3bb1db33ba77a0f87c25e9210fdcb470f67867054419590a4fb3b7fee2bd853a30c4fbd23ddad6bb28a2be54cb50bd1fbfb0152fd4af3a14bc7a2c38f09a77a4bb44e70361fa70c8ec228b18b014ed132952042da67f7bba32ce0f6c497986c6c891b589dcb3e28dc843087b69693faad3
parameters.DP.Length = 128
parameters.DP = 7af39e623b68e9a3460f87fb6ac2b0d1ede1513461dd4ca66865452b3dc35de230d3559e63d53eadbcda466c8d6115fc83d4ec5542880957e19e0502be5d70070fb692003223c91cedcde27a494f4194256c20d3b0c7674bc266ee0e8ef529b27b41de5636b6dd7e83fa63404415cdc246b6e16818f588ded5cd6f804d7504ff
parameters.DQ.Length = 128
parameters.DQ = 0b1f3998047efa28bfc90abfeb0ef46bcf49b066a2afd3ea880ff0ded2fffd65a352abc658e43e48fc0c37959a0a577c392eb3a2f3901d39c5ed6455bf2bc7ba45cca7d610e7f843ee66e865bda818fe5e4c85b48738b824550b492ce7bd6968727556b7a23aca64e02d901a8efa0e43c64a9a11e8b76888fe1c1bd67faef495
parameters.InverseQ.Length = 128
parameters.InverseQ = a37367039cdcd5dd8446219fc911142bb33c8c9249098a6ac9f51885f1723042a2c83447b6e98da095c09c765edf39b3d0d2d778ee3f29b3a66d7572145a9e73e026b31f7ac33335da990c1f2dd0a4e1393026bf9f35a3fe75c68a70127b5db0074e026b21886ff96aea2835d07051facadfb11eb2e86ccad9115dc2a9988953

https://www.bejson.com/enc/rsa/

PKCS#8格式的密钥

密钥格式

Key data may be encoded in three general ways:

Binary DER-encoded format

This is sometimes called ASN.1 BER-encoded (there is a subtle difference between BER- and DER-encodings: DER is just a stricter subset of BER, but consider them the same here). The most compact form. If you try to view the file with a text editor it is full of "funny" characters. The first byte in the file should be a '0' character (U+0030).

PEM or base64 format

This is the same data as the DER-encoded file but it is encoded in base64 with additional header and footer lines:

-----BEGIN FOO BAR KEY-----
MIIBgjAcBgoqhkiG9w0BDAEDMA4ECKZesfWLQOiDAgID6ASCAWBu7izm8N4V
2puRO/Mdt+Y8ceywxiC0cE57nrbmvaTSvBwTg9b/xyd8YC6QK7lrhC9Njgp/
...
-----END FOO BAR KEY-----

These files can be viewed with a text editor and can be easily transmitted as part of an email message. The first character in the base64-encoded part should be a 'M' (U+004D).

XML format

There are W3C standards for this, and, er, a .NET way that predates the latest W3C standard. Here is an example of the W3C [XKMS] 2.0 format

<RSAKeyPair>
  <Modulus>4IlzOY3Y9fXoh3Y5f06wBbtTg94Pt6vcfcd1KQ0FLm0S36aGJtTSb6pYKfyX7PqCUQ8wgL6xUJ5GRPEsu9
    gyz8ZobwfZsGCsvu40CWoT9fcFBZPfXro1Vtlh/xl/yYHm+Gzqh0Bw76xtLHSfLfpVOrmZdwKmSFKMTvNXOFd0V18=
  </Modulus>
  <Exponent>AQAB</Exponent>
  <P>9tbgIiFMXwpw/yf85bNQap3lD7WFlsZA+qgKtJubDFXCAR35N4KKFMjykw6SzaVmIbk80ga/tFUxydytypgt0Q==</P>
  <Q>6N6wESUJ0gJRAd6K6JhQ9Xd3YaRFk2sIVZZzXfTIWxKTInOLf9Nwf/Wkqrt0/Twiato4kSqGW2wU6K5MnvqOLw==</Q>
  <DP>l0zwh5sXf+4bgxsUtgtqkF+GJ1Hht6B/9eSI41m5+R6b0yl3OCJI1yKxJZi6PVlTt/oeILLIURYjdZNR56vN8Q==</DP>
  <DQ>LPAkW/qgzYUi6tBuT/pszSHTyOTxhERIZHPXKY9+RozsFd7kUbOU5yyZLVVleyTqo2IfPmxNZ0ERO+G+6YMCgw==</DQ>
  <InverseQ>
    WIjZoVA4hGqrA7y730v0nG+4tCol+/bkBS9u4oiJIW9LJZ7Qq1CTyr9AcewhJcV/+wLpIZa4M83ixpXub41fKA==
  </InverseQ>
  <D>pAPDJ0d2NDRspoa1eUkBSy6K0shissfXSAlqi5H3NvJ11ujNFZBgJzFHNWRNlc1nY860n1asLzduHO4Ovygt9DmQb
    zTYbghb1WVq2EHzE9ctOV7+M8v/KeQDCz0Foo+38Y6idjeweVfTLyvehwYifQRmXskbr4saw+yRRKt/IQ==
  </D>
</RSAKeyPair>

The white space in the content or between the tags should not matter, at least as far as our functions are concerned. The .NET version uses <RsaKeyValue> instead, which is strictly only for a public key.