10.247.066 decimal digits prime
25 Nov 2006 13:43:38 UTC
Topic 192110
(moderation:
I could produce a 10.247.066 decimal digits prime number. My laptop needed only 62 hours to generate it.
If you are interested in it, please visit my homepage about this prime.
10.247.066 decimal digits prime
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hi akosf! very nice to see you here. some new optimized applications as present in Santa Claus' big sack?
Love, Michi
Long time no see, akos! Is
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Long time no see, akos! Is that prime number calculation a hint of things to come, or did you do it just for the fun of it? :-)
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RE: I could produce a
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Glad to see that you was able to find the time away from work to give us something interesting to peruse. Thanx!
I see an awful lot of effort
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I see an awful lot of effort being given to finding "prime numbers". Other then academic interest, is there any point to these searches?
Wave upon wave of demented avengers march cheerfully out of obscurity into the dream.
Hi Aksof! Impressive work
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Hi Aksof!
Impressive work calculating that many digits in ~2 hours! I also thought it was amazing that it took 30 times longer than that, just to convert the number from binary to decimal.
The sequence of prime numbers is most enigmatic, considering how simple the definition of a prime is. As you're no doubt aware, some of the brightest minds in history (like Guass and Riemann) have devoted a great deal of effort on them, leading to even greater enigmas, such as the Riemann Hypothesis. Has anyone proved it yet?
At your homepage, you mentioned using the Euclid numbers to generate your result. The first seven Euclid numbers are 3, 7, 31, 211, 2311, 30031, and 510511. If you examine closely the 6th one, you will see that it is not a prime number. So not all Euclid numbers are prime numbers. So I was wondering if you have given your result a primality test, and if so, which one, and how long did it take?
30031 = 59 x 509
The primorial p_13 # = 30030, and so the numbers to check for primality are 30029 and 30031. As it happens, 30029 is prime, while 30031 is not...
RE: hi akosf! very nice to
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No, i'm sorry... :)
It's funny of course... But, I can say that the largest prime number on the world was discover by myself! :)
The prime numbers is one of the most important part of the number theory. Lots of mathematical theorems are founded on thems. So, we should know more and more about primes. Perhaps a new largest prime is only a really small step, but i hope it's more than nothing. :)
RE: The prime numbers is
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Perhaps I should re-phrase, is there any practical purpose? I can appreciate academic interest, but it seems to me that a lot of the distributed projects have the search for primes as their goal.
Wave upon wave of demented avengers march cheerfully out of obscurity into the dream.
RE: Perhaps I should
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Yep, cryptography for one... :)
So it is of
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So it is of commercial/military interest then, (spits on the floor). Not in the same league as curing disease or advancing science though, or is there more?
Wave upon wave of demented avengers march cheerfully out of obscurity into the dream.
RE: So it is of commercial
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The distribution of prime numbers is quite random. When you look at the decimal representation of the inverse of any prime number you get a long string (proportional to some multiple of that prime minus one) of digits, and when you look closely at it, you can say that it looks like quite a random string of digits. What's special about random numbers or random sequences? They are used intensively in Monte Carlo simulations... need I say more? (wipes up spit, collects DNA sample) :)))