perplexus.info :: Numbers : Triangular and Heptagonal Hindrance

Triangular and Heptagonal Hindrance (Posted on 2022-12-22)

Each of x and y is a positive integer that satisfies this equation:
x^oC=y^oF

Determine the minimum value of x+y such that:
x is a triangular number and, y is a heptagonal pyramidal number.
What is the next smallest value of x+y?

*** ^oF = (9/5)*^oC+32, where ^oF represents degree Fahrenheit and, ^oC represents degree Celsius.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

1796 and 2328 are the required numbers.
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Not a Cannonball	Brian Smith	2022-12-22 14:45:34
Solution	Larry	2022-12-22 10:29:14
computer solution	Charlie	2022-12-22 10:28:40

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