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. 55. The non-transitory computer readable storage medium as recited in claim 46 , wherein the graphical user interface is operative to display the number entry system including each of the integer values and one or more notes for enabling the user to guess at possible integer values for the plurality of mystery number regions or to guess at possible pair plus clues or pair times clues for the plurality of pair clue regions.