Playing with Numbers -- 1

n Perfect Prime Numbers :

Any positive integer that is equal to the sum of its distinct proper factors (factors other than the number itself).

Example: 6 (proper factors: 1, 2, 3) is a Perfect number because 1+2+3=6.

Example: 28 (proper factors: 1, 2, 4, 7, 14) is also a Perfect number, because 1+2+4+7+14=28.

Justification:

n To calculate Twin primes we need to compare the two successive prime numbers, if the result is 2 or -2 (depends upon the condition taken) then those two numbers can said to be the Twin Prime numbers. (See Figure 1)

Figure 1

n To calculate Perfect prime numbers we need to compare the sum of the distinct proper factors of the any positive integer to itself, if both are equal that digit is the Perfect Number. (See Figure 2)

Figure 2