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      = 1.41421...

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      Search 2 x 109 decimal digits of Pi, E, the Square Root of Two and 5 x 108 digits of Phi (the Golden Ratio) for the first occurrence of a numeric string, or display a specified number of digits from a given starting position.

      Enter digits to search or start position:
      Mode: Search
      Display digits from start position
      Constant: Pi
      E
      Sqr Root 2
      Phi (500M)

      Message:



      Please enter a numeric string to search or a starting position (decimal digits only)


      ?

      Try our streamlined Pi search interface!

      About the Irrational Numbers Search Engine:

      Why create an irrational numbers search engine? Why not! Built in 2002 just for fun, the original implementation only offered digits for Pi and ran on a makeshift server in my basement. The hardware has since been continually upgraded and the application tuned for performance. Digits for Euler's Number, Phi and the Square Root of 2 were added in 2011 by popular request.

      Usage has steadily increased over time, with 948,457 searches processed in the 5 years between 2010 and 2014. Usage spiked dramatically in 2013 with 301,050 searches, and tapered off slightly in 2014 with a total of 261,826. As of June 2018, the search engine is processing an average of 47K queries per month!

      Search History Search Types
      Search Totals Searches by Type

      Between 2010 and 2014, 14,440 unique visitors from 116 countries accessed the search engine, including numerous corporations, universities and schools across the globe. I have received a range of user feedback, citing uses spanning research (from the mainstream to the fringes of credibility) to Geocachers who have used the site to embed clues within the digits of Pi. It has been interesting and rewarding to see the variety of 'uses' for the search engine!

      Search Locations Search Locations
      Top Countries Searches by Continent

      Searches during this period averaged 6.6 digits, with an average search time of 1.91 seconds. CPU time totaled 1,694,826 seconds, or over 470 hours!

      How it works:

      The search engine was originally implemented as a VB6 executable invoked within a shell command by an ASP page, using text files for input and output. That approach was a bit of a kludge, so I rewrote it as a VB6 class (.dll) callable from within an ASP page. You can download the VB6 source code, executables and sample VBScript code here. The source code package has been downloaded 5,639 times as of 7/15/2018.

      Updated 10/02/2020: The application runs on a Windows Server virtual machine hosted on a 2018 Mac Mini configured with an i7 8700K Coffee Lake CPU with 6 cores, 64GB of RAM and a fast NVMe SSD. The VM is allocated 8GB of RAM supporting disk I/O caching, which combined with fast SSD access delivers maximum throughput and concurrency.The search engine currently supports 6 concurrent searches, which is a function of the number of CPU cores available to the virtual machine.With this enhanced hardware configuration, full scans of a 2GB file completes in under 8 seconds on average under maximum concurrency (twice as fast as the prior 2011 Mac Mini Server setup).

      Send us a note about how you're using the search engine using the contact us link below - comments, suggestions or ideas are welcome!

      Links:

      Pi, e, the Square Root of 2 and the Golden Ratio (Phi) on Wikipedia
      10,000 decimal digits of Pi, E, SqrRt2 and Phi
      Pi, E, the Square Root of 2 and Phi digits calculated using PiFast43 written by Xavier Gourdon.
      The *original* Pi Search Engine that inspired this one; much faster, but only 200m digits. Good background and statistical info.
      National Energy Research Scientific Computing (NERSC) Pi Search Page
      Online Encyclopedia of Integer Sequences references to this site: https://oeis.org/A232013 and https://oeis.org/A232014

      The search engine has processed 19,088,043 queries since 01/09/2002
      0 searches currently active

      Contact Us

      ENTRANCE TO THE CAVE OF THE WINDS. ENTRANCE TO THE CAVE OF THE WINDS. "We went through one of the pawn-shops, climbing stairway after stairway, and being almost stifled in the narrow and musty places we were obliged to go through. The goods were done up in packages, each one of them being labelled and ticketed, and there was a register down-stairs, so that any desired package could be found when wanted. Diamonds and other articles of great value were kept in safes near the basement, and the least costly goods were near the roof. There must have been many thousands of things stowed away in this pawn-shop. The building was said to be fire-proof, and its great height was intended to secure it against thieves. "All this is obvious," said the Doctor, "I have seen enough to convince me of that." It was not a bad day's work, and it spurred on Prout to fresh endeavours. He carefully examined the fireplace, he tested the windows, but nothing rewarded his endeavours beyond a blacklead-brush thrown into the corner of the scullery together with a cake of blacklead recently opened. The next day at Maastricht I tried to cure the evil results of that night on the damp floor in Louvain by eating great quantities of rice and drinking much cocoa with liberal doses of cinnamon, but as it was of no avail, I started again the next morning. 37 In view of such facts as these, we cannot blame the Epicureans if they regarded the doctrine of future retribution as anything but a consolatory or ennobling belief, and if they deemed that to extirpate it was to cut out a mischievous delusion by the roots: and continue to sit until he fell over dead. Also, Larry meant to try to draw the stick backward at the same time, coordinating both corrections; but Jeff, a little less calm than usual because of the superstitious fears that kept riding him, neglected to speak the words by which he would inform Larry that he was taking over until the correction was made. FIVE-SHILLING PIECE OF THE SOUTH SEA COMPANY. While affairs were in this state, the Prince of Wales died (March 20, 1751). He had been in indifferent health for some time, and had injured his constitution by dissipated habits. He was forty-four years of age, of a weak character, which had led him into excesses, and the consequences of these were made worse by great neglect of his health. The same weakness of character had made him very much the tool of political faction, and placed him in an unnatural opposition to his father. An attempt was made by Lord Egmont to keep together the prince's party. He assembled a meeting of the Opposition at his house on the morning of the prince's death, and hinted at taking the princess and her family under their protection; and he recommended harmony among themselves; but some one said, "Very likely, indeed, that there should be harmony, when the prince could never bring it about;" and so every one hastened away to look after themselves. It was no sooner seen that there was an understanding between the Princess of Wales and the king than numbers of the late prince's friends offered their adhesion to the Pelhams, equally out of dread of the Duke of Cumberland and dislike of the Duke of Bedford, who was opposed to the Pelhams, and, it was feared, likely to support Cumberland, and thus place him at the head of affairs. www.syzwkj.com.cn
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