[D66] Moeilijk, deel 2! (On the properties of the Prime Numbers and the ‘Dlonier’ difference)

[René Oudeweg]

Uit mijn maelstroom.pdf:


On the properties of the Prime Numbers and the ‘Dlonier’ difference

August 22, 2023

*Method:*
1. Generate the first prime numbers below 100,000,000 (arbitrary large 
number)
2. Write them to a file with the following layout only if (P’ – pn) < 0:

• linenumber = pn (nth prime)
• prime number P
• P’ with the digits of P reversed
• *P’ – pn (which I call the Dlonier difference)*

The formula to reverse the digits of a number can be expressed as:
P’ = 0
while P>0:
digit = P mod 10
P’ = P’ × 10+digit
P = P ÷ 10

In this formula:
• P represents the original number.
• P’ represents the reversed number.
• \mod represents the modulo operation (remainder when dividing).
• ÷ represents the division operation.

*Conjecture:*
There are no more negative numbers for (P’ – pn) for n>17 and n ∈ ℕ
or
There are no more Dlonier differences for n>17 and n ∈ ℕ

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