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-   -   POST LOTS AND LOTS OF PRIMES HERE (https://www.mersenneforum.org/showthread.php?t=13180)

Kosmaj 2012-08-09 13:27

Hi shanecruise,

Congrats on yet another nice prime!

pb386 2012-08-09 20:44

1157*2^1308162-1 (393800 digits)

pb386 2012-08-13 19:32

1029*2^1292517-1 (389090 digits)

shanecruise 2012-08-17 00:41

6555*2^1080139-1 8th drive
325159 digits

shanecruise 2012-08-17 00:45

oh there's more
5355*2^1080645-1 (325311 digits)

Kosmaj 2012-08-17 12:48

255*2^1422283-1 (428153 digits)

shanecruise 2012-08-18 04:15

5445*2^1080331-1 (325216 digits)

@kosmaj : sir what are the odds of getting 3 in a single file and counting ;)

VBCurtis 2012-08-18 07:16

[QUOTE=shanecruise;308385]5445*2^1080331-1 (325216 digits)

@kosmaj : sir what are the odds of getting 3 in a single file and counting ;)[/QUOTE]

If we give you the odds of an individual test coming out prime, do you know how to calculate the odds you seek? I once knew those odds off the top of my head, but would have to do some thread-digging to refresh my knowledge.

-Curtis

shanecruise 2012-08-18 08:38

Sir are you saying
using bernauli trials

suppose Pr[number(n) tested is prime]=x
then in a file of 1400 numbers having exactly three primes is P(3)=C(1400,3)*x^3*(1-x)^(1400-3)

or if we want Pr[3 or more] 1-P(0)-P(1)-P(2)

Thomas11 2012-08-18 08:51

Given the high sieve depth we should expect one prime in about 10000 tests.
The average test file contains about 1500 tests, which means that on average we expect 0.15 primes per file, or a 1:6.67 chance of finding one prime in a test file. Thus, for 3 primes the chance would be about 1:(6.67)^3 or roughly 1:300.

shanecruise 2012-08-18 09:45

if 6.67 is the probability of one prime in a file then 1:6.67^3 is probability of finding 1 prime in each of 3 consecutive files.


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