Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Googolplex
Name: Chaim R.
Status: student	
Age:  N/A
Location: N/A
Country: N/A
Date: N/A 


Question:
What is a googolplex and what is it used for?



Replies:
A "googol" is the number 10^100. A "googolplex" is an even larger number 10^[(10)^100]. You can find it, and other large numbers discussed in the book:"The Joy of Mathematics" by T. Pappus, published by Wide World Publ./Tetra (1989), or "Mathematical Mysteries" by Calvin C. Clawson, published by Perseus Books.

They are related to another number, actually several numbers, that bear their author's name: "Skews" numbers. Skews(1937) = 10^{10}^10^[10]^29 (approximately), which is less than Skews(1955) = 10^[10]^(10)^1000. These, and other large numbers arise out of number theory. They are related to a function pi(n) ['pi' here is not = 3.1415926...] but is a function that estimates the number of prime numbers less than the number 'n', which is related in turn to Gauss's Zeta function.

Vince Calder



Click here to return to the Mathematics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs

NEWTON AND ASK A SCIENTIST
Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: June 2012
Weclome To Newton

Argonne National Laboratory