Bug 99.99%

[Mini-Geek]

Originally Posted by axn

66066061 = 2399 * 27539 is a composite number and cannot be the index of a mersenne prime. This number is not tracked by GIMPS.

Prime95 (as of 28.9) refuses to test 66066061 because it is composite. I don't know if Ruicar managed to bypass this check, or told us a false number (in order to safeguard "his prime", perhaps?).

[Ruicar]

If is prime is the biggest prime no mersene know in the world ????

[science_man_88]

Originally Posted by Ruicar

If is prime is the biggest prime no mersene know in the world ????

it can't be prime with a composite exponent proof take for example 2*x for some value x as our exponent then 2^(2*x)-1 = (2^x+1)*(2^x-1) via the fact that 2^(x+1)-1 = 2*(2^x-1)+1 for any value x and the fact that you apply this repeated to get to the exponent 2*x leading to (2^x)*(2^x-1)+(2^x-1) = (2^x+1)*(2^x-1)=2^(2*x)-1

[Ruicar]

you apply this repeated to get to the exponent 2*x leading to (2^x)*(2^x-1)+(2^x-1) = (2^x+1)*(2^x-1)=2^(2*x)-1 you say his repeat but when ou do this 2399 on side and 27539 other every time you reach one you take off this same value and the other side you need more rotation

[science_man_88]

Originally Posted by Ruicar

you apply this repeated to get to the exponent 2*x leading to (2^x)*(2^x-1)+(2^x-1) = (2^x+1)*(2^x-1)=2^(2*x)-1 you say his repeat but when ou do this 2399 on side and 27539 other every time you reach one you take off this same value and the other side you need more rotation

what I'm saying is in the mersennes themselves:
3=2*1+1
7=2*3+1 = 4*1+3
15= 2*7+1 =4*3+3 = 8*1+7
...

3 is 2^2-1
15 is 2^4-1 is 2^(2*2)-1 = (2^2+1)*(2^2-1) = 5*3 and you can extend this to show that any multiple of a value other than 1 in the exponent is composite.

[paulunderwood]

See: https://en.wikipedia.org/wiki/Mersen...ersenne_primes

[LaurV]

m=2^66066061-1 can not be prime. Because 66066061 is not prime, but divisible by 2399, then one of the factors of m is q=2²³⁹⁹-1, a number with 723 digits, given below:

 1482380173949890670604068470529445983185715497388166624080411572684455306652894803587288151010577306536857015172975854678622446465125379386752523387893232484675234292972398578
691727336824282590717812815966030512353670037778064570481035526345892444454738716506466488254192210763638800232587234151479510015990161293030567920517649516101698365403033974455710
986201525920711228356829515454478449218686187559060428491668508532808899121503126638023632300652137917300176371029047879288166729514951883585323852279196293865857552535495660550140
388640801333982797227042111169900048227440172345667021193745731789629877001548800408128936695120888318680815929028755827082417845686877221292316100658499826339936380486714646474596
94706687

in turn, this is a mersenne number itself, with a prime exponent, which is NOT a prime, because it has a factors like

Originally Posted by factordb

4799 · 5201033 · 2571239126783847937422658871 · 174050713908151885290217482291235845448134953

Therefore your "prime number" is in fact divisible by 4799. This is how you waste 7 days of electricity because you have no freaking idea what are you doing.

(Where is RDS to send them to the books?)

[inesb]

Originally Posted by paulunderwood

Your test went to 100% 47 seconds after 99% and probably was successful in that the result ended in "Res64: 8F2D01829E4F843F".

Hi Paul Under Wood,

I'm Rui's friend, and we are working on a very interesting mathematics project. We are looking for people passionate about mathematics to look at what we have found.

Can you please tell me if you have time to work with us ?

For information, Rui doesn't have anymore access to this forum.

Thanks a lot fo your response !

[LaurV]

You should accept. Charge them $20 per hour. If you do not have a paypal account, PM me and I gave you mine...