A276376 Exponent of highest power of 3 dividing product of composite numbers between n-th prime and (n+1)-st prime.
0, 0, 1, 2, 1, 1, 2, 1, 4, 1, 3, 1, 1, 2, 2, 4, 1, 3, 1, 2, 2, 4, 2, 4, 2, 1, 1, 3, 1, 7, 1, 4, 1, 4, 1, 3, 5, 1, 3, 2, 2, 5, 1, 1, 2, 5, 6, 2, 1, 1, 3, 1, 7, 3, 3, 2, 3, 2, 2, 1, 4, 8, 1, 1, 2, 8, 3, 4, 1, 3, 2, 4, 3, 4, 1, 3, 4, 1, 6, 4, 1, 4, 3, 2, 2, 2, 4, 3, 1, 1, 6, 7, 1, 4, 1, 3, 6
Offset: 1
Programs
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Mathematica
Table[IntegerExponent[Times@@Range[Prime[n]+1,Prime[n+1]-1],3],{n,100}] (* Harvey P. Dale, Mar 23 2021 *)