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Hypercalc

Screenshot of Hypercalc

Hypercalc is a Perl program written by Robert Munafo[1] that is designed to manipulate very large numbers by storing them in a notation called "PT vectors", in which \(a \text{PT} b = \underbrace{10^{10^{10^{.^{.^{.^{b}}}}}}}_a\). "PT" stands for "Powers of Ten".[2] It is licensed under the GNU General Public License, and operates through a terminal interface. The calculator can handle values up to (10^10) PT 1.0e300, or about \(10\uparrow\uparrow10^{10}\), much higher than most scientific calculators.

The calculator was first programmed on a Palm Pilot, before it was ported to Perl. The upper limit on that platform was smaller, at 32768 PT 300.

Kenny Chan created an online version[3] by porting the program to JavaScript. The limit of the online program is higher than the Perl version, and it's \(10\uparrow\uparrow(1.7976\times10^{308})\) or approximately \(10^{308} PT 10^{34}\).

The method Hypercalc uses to store its large numbers makes it susceptible to the power-tower paradox.

Sources Edit

  1. Perl source code
  2. Notable Properties of Specific Numbers (page 22) at MROB
  3. Hypercalc JavaScript

External links Edit

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