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Solinas Primes
They are also called Generalized Mersenne Primes, which are prime numbers of the form:
- \(2^k - 1\) (Mersenne Primes)
- \(2^k - c\)
Examples
- NIST "Recommended Elliptic Curves for Federal Government Use"
- p-192: \(2^{192} − 2^{64} − 1\)
- p-224: \(2^{224} − 2^{96} + 1\)
- p-256: \(2^{256} − 2^{224} + 2^{192} + 2^{96} − 1\)
- p-384: \(2^{384} − 2^{128} − 2^{96} + 2^{32} − 1\)
- Curve448
- \(2^{448} - 2^{224} + 1\)