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#Mathematica, 32 bytes

Mathematica, 32 bytes

!Table[x*2^x+1,{x,0,#}]~FreeQ~#& 

#Mathematica, 32 bytes

!Table[x*2^x+1,{x,0,#}]~FreeQ~#& 

Mathematica, 32 bytes

!Table[x*2^x+1,{x,0,#}]~FreeQ~#& 
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#Mathematica, 32 bytes

!Table[x*2^x+1,{x,0,#}]~FreeQ~#&