Jump to content
Grandmaster Wootz

Project Six (Puzzle)

Recommended Posts

Don't delete my replies. After further research I realized I was mistaken, and I then solved the entire puzzle.


4, 8, 15, 16, 23, 42


4+8+15+16+23+42 = 108


the EU head admin is 18 years old.

18 is the legal drinking age in Bulgaria (and other european nations)

18 is the federal age of sexual consent in the USA


18 is a composite number, its divisors being 1, 2, 3, 6 and 9. Three of these divisors (3, 6 and 9) add up to 18, hence 18 is a semiperfect number.

18 is the first inverted square-prime of the form p·q2.

In base ten, it is a Harshad number.

It is an abundant number, as the sum of its proper divisors is greater than itself (1+2+3+6+9 = 21). It is known to be a solitary number, despite not being coprime to this sum.


The number 21 is associated with the Tarot card The World, which is symbolic of the fulfillment of what is willed.

21 is the legal drinking age in the US

On the 24h clock, 2100 is 9pm 9 times 2 is 18.

It's also:

a Blum integer, since it is a semiprime with both its prime factors being Gaussian primes.

a Fibonacci number.

a Harshad number.

a Motzkin number.

a triangular number, because it is the sum of the first six natural numbers (1 + 2 + 3 + 4 + 5 + 6 = 21).

an octagonal number.

a composite number, its proper divisors being 1, 3 and 7.

the sum of the divisors of the first 5 positive integers.

the smallest non-trivial example of a Fibonacci number whose digits are Fibonacci numbers and whose digit sum is also a Fibonacci number.

a repdigit in base 4 (1114).

the smallest natural number that is not close to a power of 2, 2n, where the range of closeness is ±n.

the smallest number of differently sized squares needed to square the square.

the largest n with this property: for any positive integers a,b such that a + b = n, at least one of a b {\displaystyle {\tfrac {a}{b}}} and b a {\displaystyle {\tfrac {b}{a}}} is a terminating decimal.


The Twenty-first Amendment (Amendment XXI) to the United States Constitution repealed the Eighteenth Amendment to the United States Constitution, which had mandated nationwide Prohibition on alcohol.

Share this post

Link to post
Share on other sites

Reply to this topic...

×   Pasted as rich text.   Restore formatting

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

  • Create New...