is there a 10 million digit prime number? can u give me 1?

Answer 1

The largest known prime is throught to be the 44th Mersenne Prime. It is (2^32582657)-1 and has 9808358 digits. There is almost certainly a ten million digit prime, but it is not known yet.

Stanlei's statement above is wrong e.g. 1001=7*143.

Answer 2

Since there is no 'largest' prime, it's a lead-pipe cinch that there's a 10 million digit prime (or a 100 billion digit prime ☺), but the largest one that's known is only a bit over 9 million digits long.

The --really-- interesting question is whether or not there's a largest twin-prime pair (2 primes whose difference is 2, such as 3 and 5 or 11 and 13).

Prove that one (either way, there is or there isn't) and you're pretty much assured of a Fields Medal and the same kind of fame that Wiles got when he finally proved Fermats' Theorem ☺

Doug

Answer 3

"is there a 10 million digit prime number?"

Yes. There is a theorem, usually known as Bertrand's Postulate for historical reasons, which says that if n > 1, then there is a prime number between n and 2n.

Bertrand's Postulate does not tell you how to *find* such a prime number, only that one exists in that range.

In particular, then:
There is a prime number between 10^(10,000,000) and 2 x 10^(10,000,000);
There is a prime number between 2 x 10^(10,000,000) and 4 x 10^(10,000,000);
There is a prime number between 4 x 10^(10,000,000) and 8 x 10^(10,000,000).

So there are at least three prime numbers with 10 million digits. (Obviously, there are almost certainly many more, but we know for certain that there are at least three.)

In fact, Bertrand's Postulate tells us that there are at least three prime numbers with any number of digits you like. However, for large numbers of digits, such primes are not easy to find.

---

"can u give me 1?"

No. No one has actually found a 10 million digit prime number (yet). As others have stated, the largest known prime number is 2^(32,582,657) - 1, which has 9,808,358 digits.

Answer 4

Nobody has found one yet, but it won't be much longer before they do - probably within the year.

A decent-sized book only contains about a million characters, so the first 10 million digit prime number will be much too big to quote on Yahoo! Answers, and a shocking waste of paper to print out. Supposing it was on a web site somewhere, it would take you several days just to scroll through the whole number, if you were consciously reading every one of its digits. I think you would get quite bored.

Answer 5

Right now it looks like the largest known prime has 9808358 digits. Shouldn't take them long to find one 10 million digits. Check out the link.

Answer 6

It has not been discovered yet. The biggest prime number is in the 9 million digits.

Answer 7

What about ten million and one, or ten million and eleven, or ten million and seven? Would they be divisible by whom? The sequence of primes 1, 7, 11 and so on must remain primes, do not matter what is the factor 10^n to which those numbers are added to: if 1 is prime, 101 is also a prime, as it is 1001, 10001, and so on. Remember your chemistry lesons: one mol of anything is about 6 x 10^23. That is a big number, well over ten million!

Now, I have not realised that, which came from Random Guy, and he is right, for my despair: 7*143 is indeed 1001

Answer 8

2^32582657 is the greatest prime known at that moment

see the link

Answer 9

Almost.. 9,808,358 digits
probably not exactly 10m but more will be discovered soon.
http://primes.utm.edu/notes/by_year.html

Answer 10

are u trying to drive us crazy?