[SeqFan] Diophantastic wishes for 2026
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Patrick De Geest
Dec 31, 2025, 8:16:34 AM (8 days ago) 12/31/25
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Dear SeqFans, here are my Diophantastic wishes for 2026 with an honorable farewell to embedded 2025 :
2026 = 2431^2 + 7091^2 - 7496^2 and 2431 + 7091 - 7496 = 2026
2026 = 2701^2 + 5065^2 - 5740^2 and 2701 + 5065 - 5740 = 2026
2026 = 3039^2 + 4051^2 - 5064^2 and 3039 + 4051 - 5064 = 2026
This last multigrade set is the most interesting since :
The absolute difference between the third and first term :
5064 - 3039 = 2025
Or when subtracting 2026 from the middle term :
4051 - 2026 = 2025
Happy New Year, P@rick
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