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Number-Theory · Prime-Numbers

Is 103 prime

103

चरणानुक्रमे

  1. \sqrt{103} \approx 10

    Only primes up to √103 need testing: any factor above it pairs with one below.

  2. 103 \bmod 2 = 1

    2 does not divide 103.

  3. 103 \bmod 3 = 1

    3 does not divide 103.

  4. 103 \bmod 5 = 3

    5 does not divide 103.

  5. 103 \bmod 7 = 5

    7 does not divide 103.

  6. \text{103 is prime}

    No prime up to the square root divides it, so it has no factors other than 1 and itself.

उत्तर उघडा
\text{103 is prime}