T T T=N
Occasionally he made a comment similar to Archimedes' "Eureka!" about a discovery, as he did when he wrong T T T=N. This is part of number theory, the field that Gauss called the Queen of Mathematics. A triangular number T is a number that you can get by adding up a string of consecutive whole numbers beginning with one. The number 6 is triangular because you can get it by adding 1 2 3, and 15 is triangular because you can get it by adding 1 2 3 4 5. The number 5,050, the sum of the first 100 counting numbers that he discovered when he was ten years old, is also a triangular number. The statement T T T=N says that every whole number can be written as the sum of no more than three triangular numbers. 29=28 1 and 96=78 15 3. To Gauss, that was a beautiful discovery.
Notes:
Gauss' beautiful mathematical discovery.
Folksonomies: mathematics
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Concepts:
Natural number (0.975497): dbpedia | freebase | opencyc
Triangular number (0.955827): dbpedia | freebase | yago
Number (0.943196): dbpedia | freebase
Carl Friedrich Gauss (0.932003): dbpedia | freebase | yago
Mathematics (0.867326): dbpedia | freebase | opencyc
Arithmetic (0.722340): dbpedia | freebase | opencyc
Real number (0.687288): dbpedia | freebase | opencyc
Prime number (0.687029): dbpedia | freebase | opencyc
The Prince of Mathematics