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--- pow:problem7f23 [2023/12/05 05:09] – created mazur
+++ pow:problem7f23 [2023/12/11 07:10] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 7 (due Monday, December 4)>
+Find the smallest positive integer which cannot be expressed as a sum of 2023 or fewer Fibonacci numbers
+(not necessarily distinct). Recall that the Fibonacci numbers $f_n$ are  defined recursively
+as follows: $f_1=f_2=1$, $f_{n}=f_{n-1}+f_{n-2}$ for all $n>2$.
+</box>
+Only one solution was submitted, by Sasha Aksenchuk. The answer to the problem is that
+$f_{4049}-1$ is the smallest positive integer which is not a sum of fewer that 2024 Fibonacci numbers.
+For a detailed solution see the following link {{:pow:2023fproblem7.pdf|Solution}}.