Methods for accelerating prime number generation in electronic devices

An electronic device, comprising:

• one or more processors, the electronic device having a first executable and a second executable, each executable having a unique identifier within the electronic device;
• and
• memory having instructions stored thereon, which when executed by the one or more processors cause the processors to implement operations including:
• generating a wrapping key for the first executable;
• encrypting a prime number generated by the electronic device with the wrapping key of the first executable to generate an encrypted prime number;
• storing the encrypted prime number locally in memory of the electronic device, wherein the encrypted prime number is stored for the first executable during a boot stage, and wherein the encrypted prime number is decryptable by the first executable but not by the second executable, and the encrypted prime number is stored at a memory address known by the first executable but not by the second executable;
• and
• implementing a secure operation, including determining that the secure operation requires the prime number and, in response to the determination, extracting the encrypted prime number from the memory of the electronic device without regenerating the prime number.

A non-transitory computer-readable storage medium, having instructions stored thereon, which when executed by one or more processors cause the processors to implement operations comprising:

• at an electronic device having a first executable and a second executable, each executable having a unique identifier within the electronic device:
• generating a wrapping key for the first executable;
• encrypting a prime number generated by the electronic device with the wrapping key of the first executable to generate an encrypted prime number;
• storing the encrypted prime number locally in memory of the electronic device, wherein the encrypted prime number is stored for the first executable during a boot stage, and wherein the encrypted prime number is decryptable by the first executable but not by the second executable, and the encrypted prime number is stored at a memory address known by the first executable but not by the second executable;
• and
• implementing a secure operation, including determining that the secure operation requires the prime number and, in response to the determination, extracting the encrypted prime number from the memory of the electronic device without regenerating the prime number.