As a courtesy to Dr.Plichta I used couple pages to show his discovery for Prime Numbers Twin.  According to his finding any figure divisible to six has  couple PNT (Prime Number Twin )

Figures divisible of 6 -1  and  +1   are P N T.

When we divide large numbers by computer or calculate by 6 the decimal is indication that reminder is smaller than 6 decimal is  of number less than 6

To find this values by numbers we can refer to simple table as following :

Decimals for number divide by 6

for example

12387654976354 divide by 6=

2064609162725.66

0.66 left over = 4

then we deduct 4 from figure

12387654976354-4=12387654976350

is multiple of 6 and is even number

lower P. N. T is

12387654976350-1=12387654976349

and higher P N T is

12387654976350+1=12387654976351

this calculation can be done by using casting out of nine method if your calculator do not have enough memory 

for example let us find if following number is prime

12387654976354

1+2+3+8+7+6+5+4+9+7+6+3+5+4=70

adding single digits =70

We divide 70 by 6 = 66+4

now deducting 4 from

12387654976354-4

 4 which we add it or deduct  it from finding  the  figure of middle one and then by adding 1 or deducting  I  will  find P N T.

updated

Sunday, 05. April 2009 12:02:12 AM -0600