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COMMENT
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A123857[n] = {4,8,16,32,38,64,128,205,256,316,512,736,1024,2048,...} are the nonprime numbers n that divide A123855[n-1] = Sum[ Sum[ Prime[i]^j, {i,1,n-1}], {j,1,n-1}]. Corresponding indices n such that a(k) = A123857[n] are n = {5,8,10,12,...}. The next a(n) if it exists is greater than 3000.
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