I have a Homemaker HY5028. It's hard to clean it without taking the sieve out. Is it possible to take the sieve out without damaging it?

I'd suggest you contact the manufacturer or retailer.

Fortunately, we can tweak the Eratosthenes sieve to count the number of divisors more efficiently and elegantly. And you will see that this technique works not only for number of divisors, but also for generating sum of divisors, totient function, biggest prime divisor, basically all functions that have to do with divisors!

The Sieve of Eratosthenes is a mathematical tool that's used to discover all possible prime numbers between any two numbers. Eratosthenes was a brilliant Greek thinker who, among many other important discoveries and inventions, was deeply interested in mathematics.

The phloem consists of sieve elements, companion cells, phloem parenchyma cells and phloem fibers. Other cell types may be found in the phloem of certain plant species. The functional units for long distance translocation and signal distribution are sieve tubes. Sieve tubes consist of sieve elements which are elongated cells, connected to each other via sieve plates to form a continous tube system that spreads out through the entire plant. Sieve plates are end walls containing large pores to provide a connection between adjacent sieve elements (for more information on sieve plates see link on the left). In order to generate a tube system of low resistance, sieve elements loose most of their cellular components such as nucleus, cytoskeleton, ribosomes, tonoplast etc. during ontogeny. Mature sieve elements contain structural phloem specific proteins (P-proteins), mitochondria, ER, and sieve elements plastids. Other cellular structures of yet unknown function have recently been described (Froelich et al. 2011 ). Companinon cells derive from the same mother cell and remain in close connection with their sieve element. Since the sieve elements are incapable of self supported survival due to the lack of a nucleous and other organells, companion cells support their sieve element throughout its lifetime. Companion cells are characterized by a dense cytoplasm and a high number of mitochondria.

The small pores of sieve cells and the larger ones of sieve elements are traversed by strands of cytoplasm called P-protein. It is not known whether P-protein is active in transport or merely serves as a seal against leakage in case of injury. See also phloem.

Snap the blue collector bucket in place. It has a cut off switch at the bottom.

You should have a little handle lock with it, that you attach to the holes on the mesh sieve, that lifts it out, then the rest can be dismantled.

there should be a metal pen that fits down in the very center of the center part that holds the shredder plate and the sieve in the juicers. you use that pin to place in a hole on the side of the part that hold the shredder plate and sieve in the juicer you can then hold that center part and turn the sieve and thus unscrew the center part to remove the whole thing.

We just solved that puzzle! Press down on the cuter disc with your fingers, and while pressing, turn that disc counter clockwise. It may be a little reluctant to turn. It will loosen, and you can spin it easily. This will release the sieve and allow you to take the assembly off for cleaning.