Merse Number #43
 

Hello Guys, I found about the mersenne numbers yesterday and was fascinated about it. However, I did my own analitycal analysis and the 43rd number somehow is not ordinary. I tried to look up whether it has been confirmed but thought I will ask here on the forum. My analysis is "kinda funny" for some of you probably yet it may be useful to find infinite numbers of mersenne numbers. Just for now I don't want to disclose any of the information as I said I just started yesterday out of curiosty and I will keep you posted as it may be just a coincidence, and if so we can came to a question how many of such numbers ( 43) within my analysis exists.

With Regards,

M.

[QUOTE=Unregistered;346174]Hello Guys, I found about the mersenne numbers yesterday and was fascinated about it. However, I did my own analitycal analysis and the 43rd number somehow is not ordinary. I tried to look up whether it has been confirmed but thought I will ask here on the forum. My analysis is "kinda funny" for some of you probably yet it may be useful to find infinite numbers of mersenne numbers. Just for now I don't want to disclose any of the information as I said I just started yesterday out of curiosty and I will keep you posted as it may be just a coincidence, and if so we can came to a question how many of such numbers ( 43) within my analysis exists.

With Regards,

M.[/QUOTE]

Ho w are we supposed to help you if we know nothing about the "non-ordinaryty" of your discover? :smile:

Luigi

Well, I only ask about whether this 43th Mersenne number is officially confirmed as I see on the website that it supposedly found, but a double test has to be made to confirm. If it is confirmed already with multiple tests I may predict a number that will have billion digits ( 250K, reward) because this 43rd is the only number in all those 48 numbers that is unique at least at this point as we have 48 numbers in total. So for now I'm just curious whether it has been confirmed.

Thank you

The number which is currently thought to be the 43rd mersenne prime, M(30402457), was confirmed to be prime years ago. But it is still just faintly possible that there has been another Mersenne prime lower than that which has been missed, in which case it would not be the 43rd. According to the [URL="http://www.mersenne.org/report_milestones/"]milestones page[/URL], there are at this moment 2318 LL double checks still to be completed on numbers below that number before we can confirm that it is indeed the 43rd Mersenne prime.

The 42nd Mersenne Prime [I]was[/I] confirmed as such last December according to that same page.

[QUOTE=Unregistered;346186]If it is confirmed already with multiple tests I may predict a number that will have billion digits ( 250K, reward)
[/QUOTE]
It is trivial to predict a number that will have 1 billion digits.
Or 97230957209750237 digits, for that matter. The award is for it being provably prime.

[QUOTE=Unregistered;346186]Well, I only ask about whether this 43th Mersenne number is officially confirmed as I see on the website that it supposedly found, but a double test has to be made to confirm. If it is confirmed already with multiple tests I may predict a number that will have billion digits ( 250K, reward) because this 43rd is the only number in all those 48 numbers that is unique at least at this point as we have 48 numbers in total. So for now I'm just curious whether it has been confirmed.

Thank you[/QUOTE]Whenever a new Mersenne prime is discovered, it creates great excitement, especially on this forum!
It is then verified prime in about a week by several people on different platforms (hardware and software).
However, when the Lucas-Lehmer test shows that a number is composite, there is no urgency to double check it. We currently find about 300 of these per day.

D

[QUOTE=Unregistered;346174]Hello Guys, I found about the mersenne numbers yesterday and was fascinated about it. However, I did my own analitycal analysis and the 43rd number somehow is not ordinary. I tried to look up whether it has been confirmed but thought I will ask here on the forum. My analysis is "kinda funny" for some of you probably yet it may be useful to find infinite numbers of mersenne numbers. Just for now I don't want to disclose any of the information as I said I just started yesterday out of curiosty and I will keep you posted as it may be just a coincidence, and if so we can came to a question how many of such numbers ( 43) within my analysis exists.

With Regards,

M.[/QUOTE]

Just what we need. Another crank.

Totally clueless.

Mersenne
 

Okay I admit I'm wrong, why this nervousness? Anyway just look up at the image and see whether it is a strange coincidence. Because as you see in D and E column, the numbers are ALWAYS Even or PRIME, with the exception of 43rd number which equals to 25 which is neither even nor prime. Out of 48 numbers this is the only case right know so to make Mersenne numbers even more challenging my question to you and myself aswell is : Is 43rd Mersenne number is the only prime number that his sum is "pure odd without primes", because 1/3 of all numbers can be thrown out and searching for Mersenne numbers can be faciliated.

With Regards,

M.


PS. here is the link: [url]http://tinypic.com/view.php?pic=10e1n42&s=5[/url]

What is the meaning of your columns E? Of course the exponent is not literally equal to 25, rather something based on it is equal to 25. But we can't really comment on it without knowing what it is...

[QUOTE=Unregistered;346241]Okay I admit I'm wrong, why this nervousness? Anyway just look up at the image and see whether it is a strange coincidence. Because as you see in D and E column, the numbers are ALWAYS Even or PRIME, with the exception of 43rd number which equals to 25 which is neither even nor prime. Out of 48 numbers this is the only case right know so to make Mersenne numbers even more challenging my question to you and myself aswell is : Is 43rd Mersenne number is the only prime number that his sum is "pure odd without primes", because 1/3 of all numbers can be thrown out and searching for Mersenne numbers can be faciliated.

With Regards,

M.


PS. here is the link: [url]http://tinypic.com/view.php?pic=10e1n42&s=5[/url][/QUOTE]

I see what you're doing in column E: summing the digits of the exponents of these Mersenne numbers. Two major problems I see make your analysis pointless (in my opinion):
[LIST=1][*]Summing the digits like this is pretty much pointless, because there's nothing special about base 10. You'd get a different result with base 2, 12, or 16, for instance.[*]Law of small numbers. A large portion of the odd numbers under 50 are prime (14 out of 24). It's not too surprising to me that out of ~24 such examples, which start out small, that only one is composite. (also, Benford's Law makes the sums a bit smaller than you might think - so the average expected value of each digit is not the average of 0 and 9, but something lower)[/LIST]

It is the exponent the numbers is taken to for instance " 2^30402457" -1" co 25 is equal to the sum of the number " 3+0+4+0+2+4+5+7 = 25.... and this is the only odd number(to this day)that is not prime, unless the number is confirmed to be "30402461" just 4 off from the original number as then we have sum which equals to 29 which is a prime and it would form a conclusion that Mersenne numbers are numbers that their total sum equals to even number or a prime number. The green color represents prime numbers but I guess you know that already so I don't have to explain. Out of 48 numbers, 27 is prime numbers, ending with 41 which is prime as well. In general sense I don't want to make an argument or something but just curious if this could potentially reduce the numbers you guys as GIMPS teamwork do in order to check which numbers are mersenne numbers withing such big span of numbers. From 1 to 100 we have 74 numbers that are Even + Prime, and the rest 26 are pure odd which is rougly 25% that can be thrown out if we can confirm that only totals that are equal to even or prime number are the Mersenne numbers.

With Regards,

M.