The "beast number" 666 has many interesting properties:
a. inter alia the beast number is equal to the sum of the squares of the first k primes. Evaluate k.
b. satisfies the identity:
666=1^6-2^6+3^6
c. There are exactly two ways to insert "+" signs into the sequence 123456789 to make the sum 666,- find both.
d. and exactly one way for the sequence 987654321,- find it as well.

p and p - no software!

123 + 456 + 78 +   9            = 666

  1 +   2 +  3 +   4 + 567 + 89 = 666

  9 +  87 +  6 + 543 +  21      = 666

Posted by Dej Mar on 2018-09-04 13:02:14