I'm not sure what is the point of eliminating 'ifs'? At any rate they can be easily replaced by e.g. 'while' loops, so in my opinion you should either eliminate both of them or none.
Again, the best way to generate such a sequence is using depth-first search or recursion. By prohibiting the usage of IFs, all solutions are inefficient (because we can't cut the tree, and are forced to follow all branches).
Project Euler: Problem 10, Sum of Primes
Back to basics 21 - Matrix replicating
Generate a vector like 1,2,2,3,3,3,4,4,4,4
Dimensions of a rectangle
Find the maximum two numbers of every column of a matrix
Find the right number make the equation
Determine if input is a perfect number
Make an anonymous function that has variable output
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