Types of Prime Numbers

Types of Prime Numbers:(The prime numbers)
1. Balanced primes:
Prime numbers that ought to be the average of the earlier prime & following prime.In other words, earlier prime, prime itself, next prime ought to be in arithmetic progression.
Example:
5, 53, 157, 173, 211, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1103.....
2. Bell number primes:
These primes are the number of separations of a set with n members.
Example:
2, 5, 877, 27644437, 35742549198872617291353508656626642567....
3. Carol primes:
These type of primes are having the kind of (2n-1)2-2
Example:
47, 223, 3967, 16127, 1046527, 16769023, 1073676287, 68718952447....

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Prime numbers

Pythagorean triples

Free triple 3

Question: Which of the following is not a Pythagorean triples?

A ) 5 cm, 10 cm, 12 cm
B ) 6 cm, 8 cm, 10 cm
C ) 3 cm, 4 cm, 5 cm
D ) 5 cm, 12 cm, 13 cm

The right answer is Option A
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Problems Factor calculator

Example Problems for factor by Grouping Calculator:

Problem 1:-

x³ – x² + x -1

Solution:-

first group the first and last two terms together like,

(x³ – x²) + (x - 1)

Now we can factor out x² from the first group and 1 from the second group.

x²(x - 1) + 1(x - 1)

now we can factor out (x - 1), so

(x - 1) (x² + 1)

Now the factors of x³ – x² + x -1 are (x - 1) (x² + 1)

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