[QUOTE=xilman;474327]Hardly anything which is trivial is also worth pointing out. Indeed, that could serve as a definition of "trivial".[/QUOTE]

I have learnt the hard way that sometimes language is a barrier.

The use of the word "nominal", for example.

[QUOTE=Batalov;474351]You don't.*

The method is: run Prime95 with the OutputIterations (iirc) changed...
If you want the same for s[SUB]0[/SUB] = 10, set InitialLLValue=10 in prime.txt.
If you want the same for s[SUB]0[/SUB] = 2/3, set InitialLLValue=23 in prime.txt

Just go and read there -
[url]http://mersenneforum.org/showpost.php?p=424019&postcount=30[/url]

____
* Google for "Now that you've found it, it's gone / Now that you feel it, you don't".
No, there is no hidden meaning in this footnote. Most of the time, the point of that poem is true - for everyone. :yzzyx:[/QUOTE]

There's only one method?

[QUOTE=a nicol;474350]Why, mathematically speaking, do these signs vary depending on the start value? Seems like there's a very large dense class theoretical answer to that. Maybe someone could help simplify the answer with some kind of visual analogy?[/QUOTE]

it's how they are defined in that paper. or that's the simple answer. maybe it has to do with the difference at that point in the test being a specific remainder mod another value we don't know ( or at least I don't).

[QUOTE=science_man_88;474355]it's how they are defined in that paper. or that's the simple answer. maybe it has to do with the difference at that point in the test being a specific remainder mod another value we don't know ( or at least I don't).[/QUOTE]

Maybe the answer will become apparent to someone in some small part via referencing integer sequences. Certainly the many thousands of published papers that reference the OEIS as a data point think this is a worthwhile approach to novel mathematical research. Not some here, apparently.

[QUOTE=a nicol;474356]Maybe the answer will become apparent to someone in some small part via referencing integer sequences. Certainly the many thousands of published papers that reference the OEIS as a data point think this is a worthwhile approach to novel mathematical research. Not some here, apparently.[/QUOTE]

I think they are just trying to be more rigorous, than randomly guessing. [URL="http://mersenneforum.org/showthread.php?t=14151"]theory on Mersenne primes ?[/URL] might be a nice thread for you to read for light reading. you can do other versions of LL as well it's just not really helpful computationally.

[QUOTE=science_man_88;474357]I think they are just trying to be more rigorous, than randomly guessing. [URL="http://mersenneforum.org/showthread.php?t=14151"]theory on Mersenne primes ?[/URL] might be a nice thread for you to read for light reading. you can do other versions of LL as well it's just not really helpful computationally.[/QUOTE]

Cataloguing novel sequences and coincidental connections is a valid research approach period imo. That is the whole premise of the OEIS.

[QUOTE=science_man_88;474357]I think they are just trying to be more rigorous, than randomly guessing.[/QUOTE]

A sincere question SM88: Why do you seem so very comfortable just guessing?

[QUOTE=a nicol;474359]Cataloguing novel sequences and coincidental connections is a valid research approach period imo. That is the whole premise of the OEIS.[/QUOTE]

there are infinitely many starting values for the LL test in it's different forms.

[url]https://oeis.org/A018844[/url] ( the minimal start values using the usualy square and subtract 2 method.)

[url]https://oeis.org/A084765[/url] without the starting 1 just one of infinitely many sequences using the square times 2 and then minus 1 version.

[QUOTE=chalsall;474360]A sincere question SM88: Why do you seem so very comfortable just guessing?[/QUOTE]

because that's how most sciences work ( not math sadly) you start out with a hunch show it's implications ( something I fail at doing) and see if it's sturdy.

[QUOTE=Batalov;474351]You don't.*

The method is: run Prime95 with the OutputIterations (iirc) changed...
If you want the same for s[SUB]0[/SUB] = 10, set InitialLLValue=10 in prime.txt.
If you want the same for s[SUB]0[/SUB] = 2/3, set InitialLLValue=23 in prime.txt

Just go and read there -
[url]http://mersenneforum.org/showpost.php?p=424019&postcount=30[/url]
[/QUOTE]

Thank you, I wasn't aware that table existed (hard to search for).

If S[0]=4 is 14,194,37634.. What is the sequence for S[0]=2/3?

[QUOTE=a nicol;474378]Thank you, I wasn't aware that table existed (hard to search for).

If S[0]=4 is 14,194,37634.. What is the sequence for S[0]=2/3?[/QUOTE]

how is 2/3 defined in a modular ring ... that will give you your answer.