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Key Generation on FIPS device or using SW with FIPS generator

I would like to understand the difference between these two options how to generate AES key. AES key is generated directly in FIPS 140-2 Level 3 device with validated AES algorithm AES key is ...
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PCI compliant RSA key generation and getting value of private exponent

Is it possible to generate RSA key and get its private exponent in clear and to be compliant with the following PCI requirement?: Keys must be generated so that it is not feasible to determine that ...
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Safenet iKey 4000 RSA key pair generation in FIPS 140-2 compliant mode

I need to generate RSA key pair and show the public and private key on screen (in a secured room). The algorithm must be FIPS approved. So I would like to use iKey 4000 which is FIPS 140-2 level 3 ...