First 17 positive integers (1..17) are rearranged into a sequence such that the sum of any two adjacent terms is a perfect square. What is the sum of the first and last terms of this sequence?
16- 9- 7- 2- 14- 11- 5- 4- 12- 13- 3- 6- 10- 15- 1- 8- 17 25- 16- 9- 16- 25- 16- 9- 16- 25- 16- 9- 16- 25- 9- 25 16+17=33
If 1^3 + 2^3 + 3^3 = m^2 where m is also an integer. What are the next three consecutive positive integers such that the sum of their individual cubes is equal to a perfect square?
Is it possible to write all integer from 1 to 10 in a row in some order such that any two adjacent number add up to a prime number ?
Is it possible to write down 1,2,3..100 in some order (one after an other), such that the sum of any two adjacent numbers is a prime number?
