Mathematical Constants - Millions of Digits
By Alexander J. Yee
OK... This is a little out of date. For a few orders of magnitude improvement...
Come Here: Mathematical Constants - Billions of Digits
Below is a table of various mathematical constants as well as a link to download the digits.
Each file contains only the digits. (No fancy formatting!) That way it is easy to read them into a program if one wishes to perform arithmetic with them.
The constants are listed in approximate order of least to most difficult to compute.
Unless otherwise stated, each file has been verified to be correct.
A page detailing the algorithms and the methods of verification that were used can be found here.
Decimal Digits
|
Constant |
First Digits |
Last Digits in File |
Digits |
Download Link |
Comments |
|
|
1.4142135623… |
…5807294375… |
160,000,000 |
|
|
|
|
1.7320508075… |
…6440778008… |
160,000,000 |
Computation verified. File unverified. |
|
|
Golden Ratio φ |
1.6180339887… |
…5767222055… |
160,000,000 |
|
|
|
e |
2.7182818284… |
…9768285300… |
160,000,000 |
|
|
|
π |
3.1415926535… |
…8924485951… |
160,000,000 |
|
|
|
|
0.6931471805… |
…0410794821… |
120,000,000 |
|
|
|
|
2.3025850929… |
…8829831501… |
120,000,000 |
|
|
|
Lemniscate |
5.2441151085… |
…3649357535… |
118,000,000 |
Unconfirmed World Record as of February 2007 |
|
|
|
3.6256099082… |
…9693909281… |
118,000,000 |
Computation verified. File unverified. |
|
|
Catalan G |
0.9159655941… |
…7972480988… |
20,000,000 |
|
|
|
Euler Constant γ |
0.5772156649… |
…4771150900… |
116,580,041 |
World Record as of January 2007 |
Hexadecimal Digits
|
Constant |
First Digits |
Last Digits in File |
Digits |
Download Link |
Comments |
|
|
1.6a09e667f3… |
…1f43c6131d… |
132,877,206 |
Computation verified. File unverified. |
|
|
|
1.bb67ae8584… |
…a44c99cf6b… |
132,877,206 |
Computation verified. File unverified. |
|
|
Golden Ratio φ |
1.9e3779b97f… |
…c4dbeac568… |
132,877,206 |
Computation verified. File unverified. |
|
|
e |
2.b7e151628a… |
…16013f71cb… |
132,877,206 |
Computation verified. File unverified. |
|
|
π |
3.243f6a8885… |
…d00383b29c… |
132,877,206 |
Computation verified. File unverified. |
|
|
|
0.b17217f7d1… |
…8ad887617d… |
99,657,925 |
Computation verified. File unverified. |
|
|
|
2.4d763776aa… |
…62f04829cb… |
99,657,925 |
Computation verified. File unverified. |
|
|
Lemniscate |
5.3e7e53e7d4… |
…5a4938ee03… |
97,996,961 |
Computation verified. File unverified. |
|
|
|
3.a027f88fdd… |
…3399bc166d… |
97,996,961 |
Computation verified. File unverified. |
|
|
Catalan G |
0.ea7cb89f40… |
…29f5f423c6… |
16,609,723 |
Computation verified. File unverified. |
|
|
Euler Constant γ |
0.93c467e37d… |
…05318bd77c… |
96,817,627 |
World Record as of January 2007 |
Acknowledgements
I would like to thank Mr. Scott Friedland for teaching me valuable materials needed for writing this program. I would also like to thank Raymond Chan for letting me use his ‘super fast’ laptop.
Questions or Comments?
E-mail me at a-yee@northwestern.edu. I'm pretty good with responding unless it gets caught in my school's junk mail filter.
Please let me know if any of the digits are incorrect because I have yet to verify all of them.