FactorSquareFreeList[poly] gives a list of square-free factors of a polynomial, together with their exponents.
EulerPhi[n] gives the Euler totient function \[Phi](n).
ClosedKernel["linkname"] represents a Lightweight Grid kernel that was successfully closed.
Break
(Built-in Mathematica Symbol) Break[] exits the nearest enclosing Do, For, or While.
patt /; test is a pattern which matches only if the evaluation of test yields True. lhs :> rhs /; test represents a rule which applies only if the evaluation of test yields ...
EvaluationObject[n, expr, ...] represents an expression submitted for evaluation on any available parallel kernel.
SetSharedFunction[f_1, f_2, ...] declares the symbols f_i as shared functions whose downvalues are synchronized among all parallel kernels.
CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.
Monitor
(Built-in Mathematica Symbol) Monitor[expr, mon] generates a temporary monitor cell in which the continually updated current value of mon is displayed during the course of evaluation of expr.
On most computer systems, you can execute external programs or commands from within Mathematica. Often you will want to take expressions you have generated in Mathematica, ...