Tag Archives: number theory

Want Some Really Big Numbers? Here Are the Zoogol and the Zoogolplex.

Portmanteaus of the words “zillion” and “googol” / “googleplex,” these two new number-names are offered for the use of anyone who feels a need for even more named numbers which are ridiculously larger than the number of particles known to exist. The … Continue reading

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New Largest Known Prime Number Revealed By Computer — After Four-Month Delay

I find it hilarious that the computer which made this discovery actually kept it a secret for four whole months. Source: https://www.newscientist.com/article/2073909-prime-number-with-22-million-digits-is-the-biggest-ever-found/ From that article: “[Curtis] Cooper’s computer actually found the prime on 17 September 2015, but a bug meant the software … Continue reading

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A Set of Conjectures: Sequels to Fermat’s Last Theorem?

This story began yesterday, with this blog-post: https://robertlovespi.wordpress.com/2014/12/10/pythagorean-and-fermatian-triples-and-quadruples/ — but it hasn’t ended there. When discussing this with my wife (who, like myself, is also a teacher of mathematics) while writing that post, she speculated that more interesting things might happen … Continue reading

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Pythagorean and Fermatian Triples and Quadruples

Pythagorean triples are familiar to almost everyone who has studied mathematics:  whole numbers which serve as solutions to the Pythagorean Theorem, a² + b² = c². Examples include 3, 4, 5; as well as 5, 12, 13; and 8, 15, … Continue reading

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A Graphical Survey of Prime, Perfect, Deficient, and Abundant Numbers From Two to Thirty

In this graph, each number on the x-axis (from 2 to 30) is plotted against the sum of all its factors (including one, but excluding the number itself) on the y-axis. Numbers on the blue line y = 1 have … Continue reading

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A Number Theory Puzzle Involving Primes, Perfect Numbers, and “Paraperfect” Numbers

There is something about the definitions of prime and perfect numbers that always struck me as rather odd. Prime numbers are those which no factors other than themselves, and one. Perfect numbers, on the other hand, equal the sum of … Continue reading

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