2020-02-23, 22:17 | #1 |
Mar 2018
17·31 Posts |
Problem...
1763=5879-4423+307
1763 can be written as x-y+z Where x y z are primes Are there other primes x y z such that 1763=x-y+z? Every integer can be written as x-y+z with x y z primes? Are there others primes x y z such that 1763=x-y+z? Last fiddled with by enzocreti on 2020-02-23 at 22:21 |
2020-02-23, 23:47 | #2 |
"Dylan"
Mar 2017
7×79 Posts |
An easy way we could do this would be to fix one of the values of x, y and z to a particular prime. For example, let's take z = 53, which is prime.
Then your equation becomes 1763 = x - y + 53, or 1710 = x - y which implies y = x - 1710. So we merely need to seek solutions where x and x - 1710 are prime. Using the following Mathematica code Code:
For[x = 1711, x <= 3000, x++, If[PrimeQ[x] && PrimeQ[x - 1710], i++]] I'll leave it to you to generalize this to other z values, or to translate this to a coding language that your machine can handle. Last fiddled with by Dylan14 on 2020-02-23 at 23:48 |
2020-02-24, 00:16 | #3 |
May 2017
ITALY
5^{2}·19 Posts |
If x, y and z are odd prime numbers
x+z = goldbach any y Last fiddled with by Alberico Lepore on 2020-02-24 at 00:31 |
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