Lucas–Lehmer test

Target entity: Lucas–Lehmer test
Context triple: [Lucas sequences, usedIn, Lucas–Lehmer test]

• A. Miller primality test
  The Miller primality test is a randomized algorithm used to determine whether a number is prime with high confidence, forming the basis of the widely used Miller–Rabin primality test in computational number theory and cryptography.
• B. Fermat primality test
  The Fermat primality test is a probabilistic algorithm that checks whether a number is prime by verifying congruences derived from Fermat's little theorem.
• C. Adleman–Pomerance–Rumely primality test
  The Adleman–Pomerance–Rumely primality test is an early deterministic algorithm in computational number theory used to determine whether a given number is prime, notable for its theoretical importance in the development of modern primality testing methods.
• D. AKS primality test
  The AKS primality test is a landmark deterministic polynomial-time algorithm that can conclusively determine whether a number is prime without relying on unproven assumptions.
• E. Mersenne
  Mersenne is a French surname most famously associated with Marin Mersenne, a 17th-century mathematician and theologian known for his work on prime numbers and acoustics.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Lucas–Lehmer test
Target entity description: The Lucas–Lehmer test is a primality test specifically designed to efficiently determine whether Mersenne numbers are prime, playing a central role in the search for very large primes.

• A. Miller primality test
  The Miller primality test is a randomized algorithm used to determine whether a number is prime with high confidence, forming the basis of the widely used Miller–Rabin primality test in computational number theory and cryptography.
• B. Fermat primality test
  The Fermat primality test is a probabilistic algorithm that checks whether a number is prime by verifying congruences derived from Fermat's little theorem.
• C. Adleman–Pomerance–Rumely primality test
  The Adleman–Pomerance–Rumely primality test is an early deterministic algorithm in computational number theory used to determine whether a given number is prime, notable for its theoretical importance in the development of modern primality testing methods.
• D. AKS primality test
  The AKS primality test is a landmark deterministic polynomial-time algorithm that can conclusively determine whether a number is prime without relying on unproven assumptions.
• E. Mersenne
  Mersenne is a French surname most famously associated with Marin Mersenne, a 17th-century mathematician and theologian known for his work on prime numbers and acoustics.
• F. None of above. chosen