Prime numbers are numbers which can
only be divided by themselves and the number ( 1 ). The first five (
5 ) single digit prime numbers are ( 1, 2, 3, 5, 7 ). The total of
the single digit prime number digit's are ( 1 + 2 + 3 + 5 + 7 = 18 ).
For two digit prime numbers ( 11, 13, 17, 19 ) or one's over two
digits like ( 137) you will find their digits will add to one of (
1, 2, 4, 5, 7, 8 ). The sum of these digits are ( 1 + 2 + 4 + 5 + 7 +
8 = 27 ). You will notice for prime numbers over one ( 1 ) digit,
that none of the single prime number digits total 3 or a multiple of
3. For the first five ( 5 ) single digit prime numbers ( 1, 2, 3, 5,
7 ), there is one even prime number ( 2 ) and ( 4 ) odd prime
numbers. Since the total of the digits of single digit prime numbers
are the same, you have more odd totals ( 4 ) than even ( 1 ) which is
for the prime number 2. For prime numbers greater than one digit you
have ( 3) even totals ( 2, 4, 8 ) and ( 4 ) odd ( 1, 3, 5, 7 ). Two
researchers from the Institute of Mathématics
of Luminy have recently made an important breakthrough regarding a
conjecture formulated in 1968 by the Russian mathematician Alexandre
Gelfond concerning the sum of digits of prime numbers. In particular,
they have demonstrated that, on average, there are as many prime
numbers for which the sum of digits is even as prime numbers for
which it is odd. Since prime numbers may have different one digit
totals that aren't in sequence, even though the prime numbers are
linear they are probably correct on average ( 3 even one digit totals
– 2, 4 8 ), ( 4 odd one digit totals – 1, 3, 5, 7 ).
Here's
some more interesting stuff:
- Prime numbers, if they are prime numbers, have the numbers 1, 3, 7, 9 in column 0 ( farthest right column ).
- Except for prime number ( 3 ) , if the sum of the digits of any number ending in 1, 3, 7, 9, total a multiple of 3, ( for instance total 6, 9, 12, etc. ) it isn’t a prime number. If a number ending in 1, 3, 7, 9 in column zero (0), isn’t a prime number it can usually be evenly divided by a number with 1, 3, 7, 9 in column (0).
- The sum of the one digit prime's digits ( 1, 2, 3, 5, 7 ) total 18 ( 1 + 2 + 3 + 5 + 7 = 18 ). The sum of the more than one digit prime's digits ( 1, 2, 4, 5, 7, 8 ) total 27 ( 1 + 2 + 4 +5 + 7 + 8 = 27 ). 9 divides evenly into 18 ( 18 / 9 = 2 ) and evenly into 27 ( 27 / 9 = 3 ). 9 is the only number that isn't a prime digit that appears in column 0 ( far right column ) of a prime number.
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