65536 is synonymous with computers as 64 KB translates to 65536 Bytes and it is a commonly used term in day to day life of a Computer personnel
65536 has also many factors of 2's multiple - 2 ^ 16, 4 ^ 8, 256 x 256, 16 ^ 4 and so on
But a lesser known fact of 65536 is what I am focussing on and is exactly the opposite of the above attributes. Check this out...
Most of the odd number subset of 65536 is either a prime or product of two primes
a) 65 - 13 x 5
b) 655 - 131 x 5
c) 6553 - Prime
d) 553 - 7 x 79
e) 55 - 11 x 5
f) 53 - Prime
g) 653 - Prime
Go one step further and add or subtract combination of digits which are a subset
h) 65 + 536 - 601 - Prime
i) 655 + 36 - 691 - Prime
j) 655- 36 - 619 - Prime
k) 6 + 553 - 559 - 13 x 43
l) 6553 + 6 - 6559 - 7 x 937
m) 6553 - 6 - 6547 - Prime
n) 553 - 66 - 487 - Prime
Wow... A number which has 2 and its multiples as factors exhibits a completely different behaviour when the individual digits combine
65536 has also many factors of 2's multiple - 2 ^ 16, 4 ^ 8, 256 x 256, 16 ^ 4 and so on
But a lesser known fact of 65536 is what I am focussing on and is exactly the opposite of the above attributes. Check this out...
Most of the odd number subset of 65536 is either a prime or product of two primes
a) 65 - 13 x 5
b) 655 - 131 x 5
c) 6553 - Prime
d) 553 - 7 x 79
e) 55 - 11 x 5
f) 53 - Prime
g) 653 - Prime
Go one step further and add or subtract combination of digits which are a subset
h) 65 + 536 - 601 - Prime
i) 655 + 36 - 691 - Prime
j) 655- 36 - 619 - Prime
k) 6 + 553 - 559 - 13 x 43
l) 6553 + 6 - 6559 - 7 x 937
m) 6553 - 6 - 6547 - Prime
n) 553 - 66 - 487 - Prime
Wow... A number which has 2 and its multiples as factors exhibits a completely different behaviour when the individual digits combine
Great thinking Anand .. keep it up..
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