Sunday 12 January 2014

Rare number pattern - sum of cubes and Armstrong number!

Check these patterns which are very unique!

a) 343 + 64 = 407

343 is 7 ^ 3 and also it exhibits this unique property (3+4) ^ 3 = 343

64 is 4 ^ 3

407 which is the resultant is the Armstrong number - 4 ^ 3 + 0 ^ 3 + 7 ^ 3

Now notice that numbers 4 and 7 and their cubes effectively combine to create this pattern

b) 343 + 27 = 370

343 is 7 ^ 3 and also it exhibits this unique property (3+4) ^ 3 = 343

27 is 3 ^ 3

370 which is the resultant is the Armstrong number again - 3 ^ 3 + 7 ^ 3 + 0 ^ 3

Again notice that numbers 3 and 7 and their cubes effectively combine to create this pattern like before!

c) 343 + 28 = 371

343 is 7 ^ 3 and also it exhibits this unique property (3+4) ^ 3 = 343

28 is 3 ^ 3 + 1 ^ 3 :)

371 which is the resultant is the Armstrong number again - 3 ^ 3 + 7 ^ 3 + 1 ^ 3

Yet again notice that the numbers 1, 3 and 7 and their cubes combine to create this pattern!!!

Couldn't resist adding one more pattern!

d) 125 + 28 = 153

125 is 5 ^ 3

28 is 3 ^ 3 + 1 ^ 3

153 which is the resultant is an Armstrong number - 1 ^ 3 + 5 ^ 3 + 3 ^ 3

Yet again numbers 1, 3 and 5 and their cubes combine to create this pattern!

No wonder numbers are beautiful and mesmerizing!