  Over 300 sequences and many unsolved problems and conjectures related to them
are presented herein together with theorems corollaries, formulae, examples,
mathematical criteria, etc. (about integer sequences, numbers, quotients,
residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost
primes, mobile periodicals, functions, tables, prime/square/factorial bases,
generalized factorials, generalized palindromes, etc.).
