Poulet Number
A Fermat Pseudoprime to base 2, denoted psp(2), i.e., a Composite Odd Integer such that
The first few Poulet numbers are 341, 561, 645, 1105, 1387, ... (Sloane's A001567). Pomerance et al. (1980) computed all21,853 Poulet numbers less than
.Pomerance has shown that the number of Poulet numbers less than 
for sufficiently large satisfy
(Guy 1994).
A Poulet number all of whose Divisors 
satisfy 
is called a Super-Poulet Number. There are an infinite number of Poulet numbers which are not Super-Poulet Numbers.Shanks (1993) calls any integer satisfying 
(i.e., not limited to Odd composite numbers) a Fermatian.
References
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 28-29, 1994. Pomerance, C.; Selfridge, J. L.; and Wagstaff, S. S. Jr. ``The Pseudoprimes to Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 115-117, 1993. Sloane, N. J. A. SequenceA001567/M5441in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
.'' Math. Comput. 35, 1003-1026, 1980. Available electronically from ftp://sable.ox.ac.uk/pub/math/primes/ps2.Z.
- Solid Partition
- Solidus
- Solitary Number
- Soliton
- Solomon's Seal Knot
- Solomon's Seal Lines
- Solomon's Seal Polygon
- Solvable Congruence
- Solvable Group
- Solvable Lie Group
- Soma Cube
- Somer-Lucas Pseudoprime
- Sommerfeld's Formula
- Somos Sequence
- Sondat's Theorem
- Sonine Polynomial
- Sonine-Schafheitlin Formula
- Sonine's Integral
- Sophie Germain Prime
- Sorites Paradox
- Sorting
- Sort-Then-Add Sequence
- Source
- Sous-Double
- Souslin Set