Amazing Number Facts No (part 4)

a3 + b3 = c3 a3 + b3 = c3 + d3 This has no solutions when a, b and c are whole numbers 13 +123 = 93 + 103 93 +153 = 23 + 163 Can you find others?

Amazing Number Facts No (part 2)

Here is a remarkable formula: f(n) = n2-n+41 f(1) = 12-1+41 = 41 a prime number f(2) = 22-2+41 = 43 a prime number f(3) = 32-3+41 = 47 a prime number f(4) = 42-4+41 = 53 a prime number   How many prime numbers does this formula produce? A formula that always produces prime numbers in this way has never been found. So just how

Amazing Number Facts No (part 1)

Since 32 + 42 = 52 does it follow that 33 + 43 + 53 = 63 ? Check it out ! Does this pattern continue to be true?The factors of 28 (not including itself) are 1, 2, 4, 7 and 14. Astonishingly these