Problem 54089. Ramanujan's Number

Created by Mehmet OZC

Solve Later

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 66px; transform-origin: 406.5px 66px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://en.wikipedia.org/wiki/1729_(number)"><span style=""><span style="">About 1729</span></span></a></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="169" height="19" style="width: 169px; height: 19px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">1729 is the first positive integer which can be expressed as the sum of two positive cubes in two different ways.</span></span></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 21px; text-align: left; transform-origin: 383.5px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Calculate the second, third, fourth ... positive integers which can be expressed as the sum of two positive cubes in two different ways.</span></span></div></div></div>

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Problem 54089. Ramanujan's Number

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Problem 54089. Ramanujan's Number

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