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DavidMoews

Photo of David Moews

The Bignum Bakeoff was a programming contest held by David Moews in December 2001. The object of the competition is to write a C program with at most 512 characters (ignoring whitespace) that returns the largest possible number, assuming a computer with infinite resources. The entries were graded relative to the fast-growing hierarchy.

A total of twenty entries were submitted by various people (nine of them from the same person), and fourteen of the programs outputted a large number (the other six either did not terminate or outputted -1). The entry that came in second place was marxen.c by Heiner Marxen, which uses a variant of Goodstein sequences, and the winning entry was loader.c by Ralph Loader, which diagonalizes over the calculus of constructions. The output of loader.c is in fact one of the largest numbers known, and it has been nicknamed Loader's number.

List of entries by output size

Specific numbers

  • 99,999,999 is the largest eight-digit number in decimal, being equal to \(10^8 - 1\). For this reason, it has been used in harper.c.[1]
    • It is also the largest number not causing an integer overflow on standard four-function calculators.
    • Furthermore, it is the price of the upgrade “Coconut cookies” (in cookies) in the game Cookie Clicker.
  • 999,999,999,999,999,999,999,999,999,999,999,999,999 is the largest 39-digit number in decimal. For this reason, it has been used in chan-2.c.[2]
    • It's prime factorization is 33 × 37 × 53 × 79 × 265,371,653 × 900,900,900,900,990,990,990,991.[3]
    • Furthermore, it is the price of the upgrade “Royal raspberry chocolate butter biscuit” (in cookies) in the game Cookie Clicker.

Sources

  1. http://djm.cc/bignum-results.txt
  2. http://djm.cc/bignum-results.txt
  3. https://es.numberempire.com/numberfactorizer.php?number=999999999999999999999999999999999999999

External links