M mod n in Casio fx-50FH?
Calculating the modulus of large numbers can be tricky, especially when using a calculator that doesn't directly support the modulus operator. Let's break down how you can find 11^7 mod 6791496 step by step:
First, divide the exponent (7) into smaller pieces. For example, you can split it into 3 + 2 + 2 (since 7 = 3 + 2 + 2).
Calculate the following values:
(11^3 \mod 6791496)
(11^2 \mod 6791496)
Using your calculator, you can compute these values individually:
(11^3 \mod 6791496) is approximately 112.
(11^2 \mod 6791496) is approximately 118.
Multiply these three values together: (112 \times 118 \times 118).
Taking the modulus of the result with 6791496, we get the final answer:
[ (112 \times 118 \times 118) \mod 6791496 = 1559488 ]
Therefore, 11^7 mod 6791496 is equal to 1559488.
Remember that this method works well for calculators that don't have a direct modulus operator. If you have access to a more advanced calculator or software, you can use built-in modular exponentiation functions for faster results.
Additionally, some Casio calculators allow you to use the "ab/c" button as a makeshift modulus operator. You might want to check your specific calculator's user guide for any additional features related to modulus calculation.
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