Years ago there was a popular myth, or urban legend, that Einstein came up with a quick and easy solution; it is not clear whether or not this is true. See Discussion for a brief explanation of the surprisingly easy method.
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The sum of the first 250 integers is 31,125.
(7*100*101)/2 = 35,350 jpacs * * * * * What? How can there be 35,350 integers in the first 100 integers? There are 14 of them.
The sum of the first thousand even, positive integers is 1,001,000.
The first four positive integers of 13 are : 26, 39, 52, 65
The sum of the first 230 positive, odd integers is 230 squared or 52,900.