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ROSECODE 321

Consecutive Zeros Mobius

Philippe_57721 · Math ·


It can easily be seen that there cannot be more than 3 consecutive integers such as μ(ni)=±1,μ(n) being the Möbius function

However, we can find arbitrary long sequences of consecutive integers with a Möbius value of 0.

Find 9 consecutive integers n+1,n+2,...,n+9 such as μ(n+i)=0
(Each of them is divisible by a distinct prime square, the primes are the smallest possible).

Answer format: n

[My timing: 10 sec]