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OpenSSL 2048 bit RSA Private Key Breakdown

See rsa_key_breakdown.html for more detailed explanation of what the following all means.

-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----
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02030100010282010024edf5be6cec4f7a973c6d
40b0559c175e319e4f137f2fdce956b8430df1b3c7f93a895ada2a6a2549e676
d57957ed15e9064f870634a91a97ed396a82923136bcee8be55a0e02996f8218
4b47fa36042733fd490a87cb3c4ae69aa21fca98d67d668ea4cde753e861d242
4214bbb2bafeabdf0067a8937dfb4c99e04847cd861d5e2a4069b2a882a85316
114a9826d18a0771eccced0ae81b0fe381000355c8cf1f7f37e41a49ea8fd10c
6f54f35237366d295660e32c8f38b43c5102425f34c8e415e01a04448801a393
75d794db5bbc829dc3967e427358e53c9caca0db34dd6cf1f346ade3b0897dae
0502ba62e65c8d923c9479178a99c7eabb2fb7ea39
02818100d52477d5b52bd5
8b17cc2863781e91c6e203c9070a75f968773d7b9e0e037010bf1dd825c8d176
86f1e93f384aedfbdd1e005da86d75e05788cbbc8a20c2d49bd0ae06387a18c0
f29c03eb8528c5c39f55cb151df923182e0ee6f9afbfdc85661ec325abbc6864
87886086e0c49e97753630771cd48e1668cdcc20dff488e353
02818100ca756c
2e6be25c9901723cb70a0c98df7692c384adfec9458660574466bd43abffaeba
232b5bf5ebcbf48aa5712eb13c2f4e82ad29b9dd54b697b6241ba19699eb164f
a99ea7448851725060a2a8a0dcd9105ad540117cb27eda89d7deee59e943d7a0
eb38c3e58ded14b3562948847722a63bd4a419f38f2da4a93b15e29d5b
028181
0093b0104509a354f56b48f09773ed22afbf7e45f655fe471266c53879dd55ee
79fc238ed9279c5457cf1a02cf5bc429681ed8bc0cefc3e4ee628061a5086c57
eb9b9e69fb0a474ab310fdfa5d2b5255697b861b9cc83bd40e5e0f17e5fab8af
ca81f8508afe230bbd89f6f09ea03f0fcd8cfdea1b15015b6fc561f3499b649a
b7
02818062e864b6750c3c329fab4090277fa9fb99c0ef75d54f20e32f57c7aa
6a0ad291a7b2a3cae4b6e37893c65f299e16b28d758b047a36655004bfc3743f
45a4769fb162cffe4cbce8d533fd05d97ffda3c0e0e68589a2e8282447a6da2a
b5057ab563e866fc235a48be4271977f6361c31d34b7438989b607f00ddb60b5
b5e664fb
028181008b1f80866c70397c08009e8e563bb766a6c80d30732258ec
9396792ac81ad4ed056913c28525d3a43a78974f6dd1b9c544b9a8138391b53a
fafccf5aee1a96905b9416ecc7cb2a364bca5b7a56f153d8d8050278b3e69547
68f255691fbd32437dba0a519f520e8c85b355319767c4091fb4663dc32fd838
ad7f63930ea15053

Private-Key: (2048 bit)
modulus
    00a8908a4b6e8ec9be01c3f5402e0a
    b498f2ee36ffda990a17e9d02c6462
    a5d904b07cff46a20f44916ba6dd3b
    174f874a1a3fd7286ee547576b82a5
    195a8d59c58e7b9c5d88be3842cad2
    be96d84425330cf26c235ef9ef0710
    2254f43d6b2b0f7b022d0ff317f5b9
    9149da34f8dd38eccdf30cbc42339e
    b1eb6f507fd7a28867173e73e9ab38
    3e00e1c0bcd532b58d076d2e62f89a
    b695c4e231b6ccfafb3740984acff7
    113e4159d8b608593681dcf6a6ffa2
    f4be42ea77e2e0bcfb4e75eb08cddc
    a2206d7bd99fb214cbc60a61ffef8a
    14a3dfc207466b4b1e5ccd49181ba4
    1fa1eea3a9ea9c6dea63b5b7480a15
    9ff4594c639835926eae4853335e58
    b581
publicExponent (0x010001 = 65537)
    010001
privateExponent
    24edf5be6cec4f7a973c6d40b0559c
    175e319e4f137f2fdce956b8430df1
    b3c7f93a895ada2a6a2549e676d579
    57ed15e9064f870634a91a97ed396a
    82923136bcee8be55a0e02996f8218
    4b47fa36042733fd490a87cb3c4ae6
    9aa21fca98d67d668ea4cde753e861
    d2424214bbb2bafeabdf0067a8937d
    fb4c99e04847cd861d5e2a4069b2a8
    82a85316114a9826d18a0771eccced
    0ae81b0fe381000355c8cf1f7f37e4
    1a49ea8fd10c6f54f35237366d2956
    60e32c8f38b43c5102425f34c8e415
    e01a04448801a39375d794db5bbc82
    9dc3967e427358e53c9caca0db34dd
    6cf1f346ade3b0897dae0502ba62e6
    5c8d923c9479178a99c7eabb2fb7ea
    39
prime1
    00d52477d5b52bd58b17cc2863781e
    91c6e203c9070a75f968773d7b9e0e
    037010bf1dd825c8d17686f1e93f38
    4aedfbdd1e005da86d75e05788cbbc
    8a20c2d49bd0ae06387a18c0f29c03
    eb8528c5c39f55cb151df923182e0e
    e6f9afbfdc85661ec325abbc686487
    886086e0c49e97753630771cd48e16
    68cdcc20dff488e353
prime2
    00ca756c2e6be25c9901723cb70a0c
    98df7692c384adfec9458660574466
    bd43abffaeba232b5bf5ebcbf48aa5
    712eb13c2f4e82ad29b9dd54b697b6
    241ba19699eb164fa99ea744885172
    5060a2a8a0dcd9105ad540117cb27e
    da89d7deee59e943d7a0eb38c3e58d
    ed14b3562948847722a63bd4a419f3
    8f2da4a93b15e29d5b
exponent1
    0093b0104509a354f56b48f09773ed
    22afbf7e45f655fe471266c53879dd
    55ee79fc238ed9279c5457cf1a02cf
    5bc429681ed8bc0cefc3e4ee628061
    a5086c57eb9b9e69fb0a474ab310fd
    fa5d2b5255697b861b9cc83bd40e5e
    0f17e5fab8afca81f8508afe230bbd
    89f6f09ea03f0fcd8cfdea1b15015b
    6fc561f3499b649ab7
exponent2
    62e864b6750c3c329fab4090277fa9
    fb99c0ef75d54f20e32f57c7aa6a0a
    d291a7b2a3cae4b6e37893c65f299e
    16b28d758b047a36655004bfc3743f
    45a4769fb162cffe4cbce8d533fd05
    d97ffda3c0e0e68589a2e8282447a6
    da2ab5057ab563e866fc235a48be42
    71977f6361c31d34b7438989b607f0
    0ddb60b5b5e664fb
coefficient
    008b1f80866c70397c08009e8e563b
    b766a6c80d30732258ec9396792ac8
    1ad4ed056913c28525d3a43a78974f
    6dd1b9c544b9a8138391b53afafccf
    5aee1a96905b9416ecc7cb2a364bca
    5b7a56f153d8d8050278b3e6954768
    f255691fbd32437dba0a519f520e8c
    85b355319767c4091fb4663dc32fd8
    38ad7f63930ea15053

-----BEGIN PUBLIC KEY-----
MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAqJCKS26Oyb4Bw/VALgq0
mPLuNv/amQoX6dAsZGKl2QSwfP9Gog9EkWum3TsXT4dKGj/XKG7lR1drgqUZWo1Z
xY57nF2IvjhCytK+lthEJTMM8mwjXvnvBxAiVPQ9aysPewItD/MX9bmRSdo0+N04
7M3zDLxCM56x629Qf9eiiGcXPnPpqzg+AOHAvNUytY0HbS5i+Jq2lcTiMbbM+vs3
QJhKz/cRPkFZ2LYIWTaB3Pam/6L0vkLqd+LgvPtOdesIzdyiIG172Z+yFMvGCmH/
74oUo9/CB0ZrSx5czUkYG6Qfoe6jqeqcbepjtbdIChWf9FlMY5g1km6uSFMzXli1
gQIDAQAB
-----END PUBLIC KEY-----

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