46. A non-transitory computer readable storage medium comprising instructions that, when executed on a system, cause the system to at least: cause generation of a graphical user interface operative to display an interactive mathematical puzzle having only one solution, the interactive puzzle including first areas of the puzzle having a plurality of clue regions and second areas of the puzzle having a plurality of mystery number regions, wherein the first areas of the puzzle and the second areas of the puzzle are in separate locations, wherein the plurality of clue regions include a pair clue region interposed between a pair of mystery number regions, wherein each of the mystery number regions corresponds to a mystery number value with no limitation on an amount of times a single mystery number value between 1-R appears in the puzzle when the puzzle is solved except that a same pair of mystery number values corresponding to the pair of mystery number regions interposing any pair clue region can only appear once in the puzzle, wherein R is a whole number within a range of whole number values, wherein the puzzle can only have one solution when each mystery number value associated with each mystery number region among the plurality of mystery numbers regions are solved, wherein the pair clue region corresponds to a pair plus clue representing an arithmetic sum of mystery number values of the mystery number regions interposing the pair clue region or a pair times clue representing an arithmetic product of mystery number values of the mystery number regions interposing the pair clue region, and wherein the puzzle layout is initially devoid of pair plus clues, pair times clues, and mystery number values; reveal at least one pair plus clue or one pair times clue within at least one pair clue region among the plurality of pair clue regions; enable a user to enter an integer value in place of each mystery number region through a number entry system; and indicate to the user whether the integer value entered by the user in each of the mystery number regions is correct.
46. A non-transitory computer readable storage medium comprising instructions that, when executed on a system, cause the system to at least: cause generation of a graphical user interface operative to display an interactive mathematical puzzle having only one solution, the interactive puzzle including first areas of the puzzle having a plurality of clue regions and second areas of the puzzle having a plurality of mystery number regions, wherein the first areas of the puzzle and the second areas of the puzzle are in separate locations, wherein the plurality of clue regions include a pair clue region interposed between a pair of mystery number regions, wherein each of the mystery number regions corresponds to a mystery number value with no limitation on an amount of times a single mystery number value between 1-R appears in the puzzle when the puzzle is solved except that a same pair of mystery number values corresponding to the pair of mystery number regions interposing any pair clue region can only appear once in the puzzle, wherein R is a whole number within a range of whole number values, wherein the puzzle can only have one solution when each mystery number value associated with each mystery number region among the plurality of mystery numbers regions are solved, wherein the pair clue region corresponds to a pair plus clue representing an arithmetic sum of mystery number values of the mystery number regions interposing the pair clue region or a pair times clue representing an arithmetic product of mystery number values of the mystery number regions interposing the pair clue region, and wherein the puzzle layout is initially devoid of pair plus clues, pair times clues, and mystery number values; reveal at least one pair plus clue or one pair times clue within at least one pair clue region among the plurality of pair clue regions; enable a user to enter an integer value in place of each mystery number region through a number entry system; and indicate to the user whether the integer value entered by the user in each of the mystery number regions is correct. 57. The non-transitory computer readable storage medium as recited in claim 46 , wherein the interactive puzzle includes a plurality of central clue regions, wherein each central clue region is surrounded by three or more mystery number regions, wherein the same pair of mystery number values corresponding to the pair of mystery number regions interposing any pair clue region can appear more than once in the puzzle if the pairs of mystery number regions interposing three or more pair clue regions also form the three or more mystery number regions surrounding a single central clue, in which case the same mystery number value is utilized for all mystery number regions among the pairs of mystery number regions, wherein the central clue region corresponds to a central plus clue representing an arithmetic sum of mystery number values of the mystery number regions surrounding the central clue region or a central times clue representing an arithmetic product of mystery number values of the mystery number regions surrounding the central clue region, wherein the puzzle layout is also initially devoid of central times clues and central plus clues, and wherein the instructions cause the system to at least reveal at least one central plus clue or central times clue within at least one central clue region among the plurality of central clue regions.