David Radcliffe on Nostr: 1, 3, and 11677 are the only odd numbers less than 10^11 whose squares can be written ...
1, 3, and 11677 are the only odd numbers less than 10^11 whose squares can be written in base 8 using only the digits 0 and 1.
1² = 1₈
3² = 11₈
11677² = 1010111111₈
Are there any other (odd) numbers with this property?
Published at
2024-10-01 16:01:18Event JSON
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"content": "1, 3, and 11677 are the only odd numbers less than 10^11 whose squares can be written in base 8 using only the digits 0 and 1. \n\n1² = 1₈ \n3² = 11₈ \n11677² = 1010111111₈ \n\nAre there any other (odd) numbers with this property?",
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