Primes in DNA (was: Definition Challenge)



Zachriel wrote:
"topmind" <topmind@xxxxxxxxxxxxxxxx> wrote in message
news:1152035773.421645.118640@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
"There are no narrow-band radio signals of ~21cm resonant
wavelength being emitted from planets orbiting nearby stars".

What is the scientific theory of intelligent design?


There are no repeating sequential digits of primes more than 500 in
digit length in DNA found in earthly species.
<snip>


Did you mean Pi? Otherwise your statement doesn't make sense.

As has been pointed out previously: There are an infinite number of possible
encoding schemes.

What does this have to do with anything? There may be an infinite
number of algorithms for determining if a SETI signal is "narrow"
enough.

Your assertion is much too vague for testing.

Perhaps you mean a base-4 representation. Is that what you mean?

For now lets use a binary representation and map it to base 4. First
make a list of the first 500 prime numbers:

A: 1, 3, 7, 11, 13, 17, 29 .....

Then convert these to binary digits using the least needed length:

B: 1,11,101, 1101, etc... (dummy numbers for illustration only.)

Remove the commas and then you have a template string:

C: 1111011101...

D: Now, map the DNA bases to binary, like:

T = 00
A = 01
G = 10
C = 11

There are 16 possible mappings IIRC. Thus, we take our binary string
(C) and sift thru DNA encodings using all 16 possible mappings seeing
if there is a match. We may also want to log (save) partial matches.

(We may also want to look in the reverse direction in case aliens read
right-to-left.)

As far as why primes might be used:

http://www.math.dartmouth.edu/~carlp/PDF/extraterrestrial.pdf

Here is the Google HTML cache version of it if you have trouble reading
PDF:

http://72.14.203.104/search?q=cache:ztBPl2kv3KAJ:www.math.dartmouth.edu/~carlp/PDF/extraterrestrial.pdf+SETI+prime+numbers&hl=en&gl=us&ct=clnk&cd=4

They appear to use a fixed-length "number" approach, which is certainly
another possibility. However, that may stand out in other ways because
it would repeat a lot of zeros.


--
Zachriel, angel that rules over memory, presides over the planet Jupiter.
http://zachriel.blogspot.com/

-T-

.



Relevant Pages

  • Re: Definition Challenge
    ... wavelength being emitted from planets orbiting nearby stars". ... What is the scientific theory of intelligent design? ... There are no repeating sequential digits of primes more than 500 in ...
    (talk.origins)
  • Re: Fractions: 1/7 and others like it
    ... six digits repeat in the same order. ... Find all sets of fractions less ... It's all the ones where 1/n has a repeating decimal of period n-1, ... Pre-computers, William Shanks computed k for all primes less than 120000, and in ...
    (rec.puzzles)
  • Re: Primes in DNA (was: Definition Challenge)
    ... What is the scientific theory of intelligent design? ... Then convert these to binary digits using the least needed length: ... Here's the first one hundred quaternary digits of the prime ... but the first 1000 primes make 5866 quaternary digits or 11732 bits. ...
    (talk.origins)
  • Re: Euler Top 1000
    ... Not for problem 196 and all other problems where counting ... primes or sums of primes are involved. ... My guess is that none of these need even double precision on ... The problem of summing the digits of a^b is the worst problem ...
    (comp.lang.forth)
  • Re: Irrational Inclusion - can irrational numbers contain other irrational numbers?
    ... I wanted to show that the randomness of the primes could ... Let lastTwoDigits(num) extract the least two least significant digits ... digits of root-2 long enough, ... (all irrationals including one another) ...
    (sci.math)