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Around the beast number (Posted on 2018-09-04) Difficulty: 4 of 5
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!

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
soln.s | Comment 2 of 4 |
p&p

BTW, you know it's "recreational" math when...

a) corrected later: k=7, the 7th being 17 (Thanks Charlie, for the correction!)
b) true
c) 666 = 123 + 456 + 78 + 9 = 1 + 2 + 3 + 4 + 567 + 89
d) 666 = 9 + 87 + 6 + 543 + 21

BTW - see also: 666

Edited on September 5, 2018, 1:47 am
  Posted by Steven Lord on 2018-09-04 13:54:23

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