2019 through Recreational Mathematics!

Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity.

By that definition, a big part of my interest in mathematics is recreational – because I don’t use it for research or professional activity. I used to solve lot of puzzles since childhood and still love solving puzzles.

One of interesting ways of recreational mathematics is to find interesting properties, combinations of numbers in date, year patterns.

I cam across interesting patterns about new year 2019, and also got to know about Happy Numbers (also called as Harshad Numbers – derived from Sanskrit word Harsha/हर्ष  which means Joy).

2019 is a Harshad Number!

Here is a compilation of all such interesting facts, patterns related to 2019.

2019 also appears in Pi/”π”

π = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019

  • 2019 = 2×22+2/2)^2 −2−2−2
  • 2019 = 1+(1+1)^11 − (11−1)×(1+1+1)
  • 2019 = 9+(9999−9) / 9+9×99+9
  • 2019 = 0³ + 1⁸ + 2⁷ − 3⁹ + 4⁶ + 5⁴ + 6² + 7⁵ + 8¹ + 9⁰

(All the digits 0 to 9 raised to the power of all the digits 0 to 9.)

2019 is a Happy Number !

  • 2²+0²+1²+9²=86
  • 8²+6²=100
  • 1²+0²+0²=1

2019 is the smallest number that can be written in 6 ways as the sum of the squares of 3 primes:

  • 7² + 11² + 43² = 2019
  • 7² + 17² + 41² = 2019
  • 13² + 13² + 41² = 2019
  • 11² + 23² + 37² = 2019
  • 17² + 19² + 37² = 2019
  • 23² + 23² + 31² = 2019

It’s also the sum of all unique perfect powers up to 3⁵ = 243:

  • 1² + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷ + 3² + 3³ + 3⁴ + 3⁵ + 5² + 5³ + 6² + 6³ + 7² + 10² + 11² + 12² + 13² + 14² + 15² = 2019

I cam across this great video by Matt Parker on “2019 facts in 2 mins 19 seconds



Finally here’s an interesting joke to end this post…

The mathematician’s countdown (spoken without emphasis):

120

24

6

2

1

.

.

.

#HappyNewYear2019

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