List of recreational number theory topics

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This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake.

Contents

See list of number theory topics for pages dealing with aspects of number theory with more consolidated theories.

Number sequences

Digits

Magic squares, etc.

Related Research Articles

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number.

It is:

10,000 is the natural number following 9,999 and preceding 10,001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

5000 is the natural number following 4999 and preceding 5001. Five thousand is, at the same time, the largest isogrammic numeral, and the smallest number that contains everyone of the five vowels in the English language.

6000 is the natural number following 5999 and preceding 6001.

7000 is the natural number following 6999 and preceding 7001.

8000 is the natural number following 7999 and preceding 8001.

181 is the natural number following 180 and preceding 182.

20,000 is the natural number that comes after 19,999 and before 20,001.

40,000 is the natural number that comes after 39,999 and before 40,001. It is the square of 200.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

9000 is the natural number following 8999 and preceding 900k

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