Blog Post #68 - What's unique about this series

What are the unique attributes about this series

576, 676, 5476, 5776, 15376, 15876

List all possible observations and is there any other series similar to this

Blog Post #67 - Find the 3 digit number

1. Let's call the number as XYZ
2. XYZ + a ^ 2 = Perfect square while XYZ - a^2 is a Prime number
3. XYZ + b ^ 2 = Perfect square while XYZ - b ^2 is again a Prime number
4. Suffix a digit W and XYZW is a perfect square again
5. XYZ itself is unique in some sense 

Blog Post #66 - What's the next series and why?

Looking at the series below, find the missing numbers

64, 81, 125, 144, 216, 289, ?, ?

Anything else unique about the result?

Blog Post # 65 - What is unique about these sequence of numbers?

I just happened to notice this pattern when I saw two cars with registration numbers 2809 and 1521 earlier today. Needless to say both number caught my attention since they were perfect squares and then tried to see if few more numbers exhibit that pattern

Here's the sequence I am looking at

1521, 2025, 2809, 4225, 4900...

It is obvious that they are perfect squares but there is something unique they exhibit apart from that in a sequence

What is the pattern they exhibit and also give me the next 2 or 3 four digit numbers in that sequence?

Blog #64 - Dedicated to Viswanathan Anand, the Chess Grandmaster!

Blog # 64 dedicated to the evergreen GOD of Chess - Viswanathan Anand!

New planet named after him with the number 4538 and the number does seems to be pretty special!

4538 - Square (53) + 1729 (Maths Genius Ramanujam Number!)
4538 - Square (67) + Square (7)
4538 - Square (64) + Square (21) + Square (1)

Anand has been the "King of 64 squares" in the Chess world and truly the number above does reflect that as well

And coincidentally this is also my 64th Blog!

Blog #63 - Find this number

Back with another question around a 4 digit number (ABCD) - again the digits can repeat and not necessarily distinct

1. AB + CD results in a number which is part of an unique number series
2. This number satisfies the condition X ^ Y where X and Y are positive integers
3. This number is a product of two numbers C and D and in turn if we add C + D it again results in a number which is part of a special series
4. C and D can also be expressed as X1 ^ Y1 and X2 ^ Y2
4. DCBA (reverse of this number) + a perfect square results in another well known number!

Find ABCD

Blog #62 - Is there a pattern in this number sequence?

1024, 2401, 4096, 9604 - Do these numbers exhibit any pattern and if yes, is there any other sequence which shows similar behaviour?

Feel free to share your inputs