Phone Book Numbers from 103,374,001 to 103,374,989 that don't mean anything.

[Uncwilly]

Originally Posted by tuckerkao

I need some explanations, what are the residue and shift on those tables?

Also, if I finish 1 LL sequence, do I post screenshots or something?

Residues are the values produced at the end of the test to show if it is prime or not. If it is all zeros it is prime. The shift is a way inside the program to find any potential programming or other error. Don't worry about it other than it should not be zero.

Don't run an LL. Use Prime95 v30 and run it as a PRP. PRP has better error checking and recovery, plus it generates a way for us to do a rapid verification and not have to double check the test. Let Prime95 submit the results automatically.

[tuckerkao]

So under Advanced:

Test, Time, P - 1, ECM which 1 is the good choice to run?

[VBCurtis]

Originally Posted by tuckerkao

So under Advanced:

Test, Time, P - 1, ECM which 1 is the good choice to run?

If you have to ask, you shouldn't be in the "advanced" menu.

[tuckerkao]

Originally Posted by VBCurtis

If you have to ask, you shouldn't be in the "advanced" menu.

I cannot find where the PRP tests are located.

[Uncwilly]

Originally Posted by tuckerkao

I cannot find where the PRP tests are located.

Originally Posted by VBCurtis

If you have to ask, you shouldn't be in the "advanced" menu.

.

Originally Posted by Uncwilly

Oh, wait, maybe find a little bit about the project whose board you are posting on and you will know.

[tuckerkao]

I need a screenshot of prime95 running the PRP test for a specific Mersenne exponent such as 103,374,163 which buttons should I click step by step?

[LaurV]

Originally Posted by tuckerkao

I need some explanations, what are the residue and shift on those tables?

Did you read the math page posted by people just before you were asking the question?
If you can't be bothered to follow links, why should we be bothered to explain the math again and again?

[tuckerkao]

Originally Posted by LaurV

Did you read the math page posted by people just before you were asking the question?
If you can't be bothered to follow links, why should we be bothered to explain the math again and again?

I checked S485122's list, those with the factors have already been proved to be non-primes.

M103374163 -> No factors below 2^74

M103374613 and M103374631 are both composite numbers because they have factors on that list.

[LaurV]

The argument was about the "math" link from Uncwilly (post #9), which explains in layman terms what is a residue, why is stored, what's a shift, etc.

[tuckerkao]

Originally Posted by LaurV

The argument was about the "math" link from Uncwilly, which explains in layman terms what is a residue, why is stored, what's a shift, etc.

I understood that if the final residue = 0, then a new prime is found.

What I didn't realize, why not using LL test? Where's the PRP test?

When I click to test a specific exponent, it always run as LL.

[LaurV]

PRP test is the "new fashion", having the advantage that (with the last development in theory) the double-check is not needed anymore (or it can be done much faster), as well as the running of the test effectively, is safer for hardware errors. The disadvantage is that a PRP test will not say for sure if a number is prime (like LL test does), it will only say for sure if the number is composite, but say only probabilistically if a number is prime. If such number is found, for which the PRP test says "this number has a high probability to be prime", then a LL test still has to be run for that number.

For the scope of this discussion (residues, shifts, factoring, etc), LL test and PRP test means the same thing. When you read that math page, every time you read "LL test", you can substitute in your mind with "PRP Test". The work similar.