Offers an ideal substrate for cement-based renders and organic. Thus, under naive information-theoretic assumptions, you'd think that the best you could possibly do to store the first million primes was to use 1000000*0.397 bits, or 49609 bytes. Water-based acrylic primer for paints and colored renders with high penetrating ability. It's interesting to note that if primes appeared randomly (but the same number appeared up to 1000000 as actually appear) the amount of information stored in the primality of a number between 1 and 10^6 would be ~0.397 bits per number. So this is one of the better tricks out there for compactly storing reasonably small prime numbers. If you were doing this with 7 blocks of 30, you'd need 7*8=56 bits, so this is a slight improvement, but ugh.hardly worth the hassle. Now, there's nothing particularly special about 30 except that 30 = 2*3*5, so this lookup is actually walking you up through a bitmask representation of the Sieve of Eratosthanes pattern just after you've gotten started. (You could shave off another bit by counting how many mod-30 slots you had to jump.) Under a million, this fits in 6 bits (as long as you remember that the primes are all odd at that point, so you only need to store even differences and can thus throw away the lowest bit), for 470998 bits = 58874 bytes. A good pair of socks cannot be too tall only about the correct width should be in tightness.
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Up to 1000000, the values fit in 20 bits, and there are 78498 primes, so this gives a disappointing 1569960 bits (196245 bytes).Īnother way to go-though less useful for looking up primes-is to store the differences between each prime and the next. What Are Primes Compression Socks Made Of nylon, which provide firm compression at 20 to 30 mm Hg). You could also store the values of the primes themselves. To explain why this is a good way to go, you need to look at the obvious alternatives.Ī more naive way to go would just be to use a bitmask.
It's a bitmask-one bit for each of the 8 values out of 30 that might be prime, so 8 bits per 30 numbers.