Prime Number Checker ಅನ್ನು ಹೇಗೆ ಲೆಕ್ಕ ಹಾಕುವುದು
Prime Number Checker ಎಂದರೇನು?
A prime number is a natural number greater than 1 that has no divisors other than 1 and itself. Primes are the fundamental building blocks of all integers — every integer > 1 is either prime or can be uniquely factored into primes (Fundamental Theorem of Arithmetic).
ಹಂತ-ಹಂತದ ಮಾರ್ಗದರ್ಶಿ
- 1Trial division: test if n is divisible by any integer from 2 to √n
- 2If no divisor found, n is prime
- 3Sieve of Eratosthenes: efficiently finds all primes up to a limit
- 4For large numbers, probabilistic tests like Miller-Rabin are used
Worked Examples
ಇನ್ಪುಟ್
97
ಫಲಿತಾಂಶ
Prime
Not divisible by 2,3,5,7 (√97≈9.8)
ಇನ್ಪುಟ್
91
ಫಲಿತಾಂಶ
Not prime — 91 = 7 × 13
Common misconception: looks prime but isn't
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