Somer-Lucas Pseudoprime

An Odd Composite Number is called a Somer-Lucas -pseudoprime (with ) if there Existsa nondegenerate Lucas Sequence with , , , such that and therank appearance of in the sequence is , where denotes the Jacobi Symbol.

References

Ribenboim, P. ``Somer-Lucas Pseudoprimes.'' §2.X.D in The New Book of Prime Number Records, 3rd ed. New York: Springer-Verlag, pp. 131-132, 1996.

• Sierpinski's Composite Number Theorem
• Sierpinski Sieve
• Sierpinski Sponge
• Sierpinski's Prime Sequence Theorem
• Sierpinski's Theorem
• Sierpinski Tetrahedron
• Sierpinski Triangle
• Sieve
• Sieve of Eratosthenes
• Sievert Integral
• Sievert's Surface
• Sifting Property
• Sigma Algebra
• Sigma Function
• Sigmoid Curve
• Sigmoid Function
• Sign
• Signalizer Functor Theorem
• Signature (Knot)
• Signature (Quadratic Form)
• Signature (Recurrence Relation)
• Signature Sequence
• Signed Deviation
• Significance
• Significance Test