Hi HuangShan,
As this thread pointed that the Exponent field is really the public exponent for a public key.
So you can't use "e" to validate the privateKey.
And the offical document also said, in all cases, if anyone can derive the parameters, the key that you transmit becomes useless.
Best Regards,
Daniel Zhang
If the response is helpful, please click "Accept Answer" and upvote it.
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.