Sequence of 7 Consecutive Integers including Multiple of Prime greater than 41

Theorem

Every sequence of $7$ consecutive integers greater than $36$ includes a multiple of a prime number greater than $41$.

Proof

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Sources

• 1980: Hansraj Gupta: Selected Topics in Number Theory

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $36$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $36$