Special whole numbers...

The K value for which I have proven my largest prime number.
195*2^311215-1 :D Also the largest n value for that k, found yet.



233 is related to pi how? 8)
hint arctan
answer
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpi.html#piandfib

But there is another.

[Orgasmic Troll]

Xyzzy, you are correct sir!

.. I don't have an answer at this time either, so I will also repeat ..

233 is related to pi how?
hint arctan

[ewmayer]

Originally Posted by sdbardwick

Ok, I'm not to proud to beg for a hint from Ernst... :D
(If it is a number with special meaning in mathematics, I'll never get it anyway.)

I'm just out of (semi-) clever ideas...

5,171,655,946 is not:

The number of people on the planet (6,308,703,241);
The age of the Earth in years (too high);
The age of the universe in years (too low);
Number of burgers served by McDonalds (100+ billion plus);
A telephone number I (or Google) recognize.

OK, the first person to guess this one correctly and post their answer in this thread gets a reprint of "The twenty-fourth Fermat number is composite," by Crandall, Mayer & Papadopoulos, signed by me. (There's your hint, too.)

[NickGlover]

Originally Posted by ewmayer

OK, the first person to guess this one correctly and post their answer in this thread gets a reprint of "The twenty-fourth Fermat number is composite," by Crandall, Mayer & Papadopoulos, signed by me. (There's your hint, too.)

5,171,655,946 is the number of digits in F34 = 2^(2^34)+1.

Btw, 10,412,737 is the smallest mersenne exponent that has never had an LL test.

[ewmayer]

Originally Posted by NickGlover

5,171,655,946 is the number of digits in F34 = 2^(2^34)+1.

...which is the smallest even-index Fermat number of unknown character.

We have a winner! Nick, PM me your mailing address and I'll get your prize in the mail.

[E_tron]

To continue the tread i'm not entirely sure where to start, so I believe that M5,171,655,946 is not very far away from the 110th mersenne prime :D .

What is 131072?

UPDATE

I didn't read hard enough :D ! The question asked...

233 is related to pi how?

233=Fibonacci number 13 that is all i know. Will try to figure out...

What is 131072?

[asdf]

131072 is 2^17.

30030

[NickGlover]

30030 = 2 * 3 * 5 * 7 * 11 *13, the product of the first six primes.

7,625,597,484,987

[Xyzzy]

131,072 is also the number of kilobytes in a 128MB stick of memory... (I knew memorizing those BIOS screens would pay off!)

Anyways, continuing the chain...

7,625,597,484,987

[hyh1048576]

7625597484987=3^(3^3) :)

But please don't post numbers of the form a^b ;) , such as 1048576 :)

78557

[wpolly]

7,625,597,484,987=3^(3^3)=3^^3........



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