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How long have prime numbers been around for?
They have always been around
What are the first 10000 numbers of the Fibonacci sequence?
The Fibonacci series starts with 1, 1, 2, 3, 5, 8, ... Each number is the sum of the previous two numbers. You can easily continue adding (you might put a formula in Excel, and copy it), but you quickly reach very, very large numbers - long before the 10,000th. term.
How long has the golden ratio been around?
The golden ratio has been around forever, but people did not discover it until around the time of the early Egyptians.
Why negative numbers coming in Fibonacci series after 23 terms?
They don't. If you add two positive numbers, the result will always be a larger positive number. You are probably doing this with a computer program; in this case, you may get a numeric overflow. Precautions should be taken to detect this overflow, and give appropriate error messages. Alternately, you can use a data type that supports larger numbers - for example in Java, use long instead of int, or for even larger numbers, use the BigInteger class, which supports an arbitrary number of digits (at the expense of slower processing).
How long has geometry been around?
A very long time, it was used to design the Pyramids and Stonehenge
