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Legendre Symbol via Euler Criterion

Online legendre symbol via euler criterion. Euler criterion for an odd prime modulus; composite moduli are rejected.

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legendre symbol via euler criterion calculator online

Use legendre symbol via euler criterion online for a, odd prime. Euler criterion for an odd prime modulus; composite moduli are rejected. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter a. Set odd prime. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
aMain input. Whole numbers. 5
odd primeOption. Whole numbers. 11

Calculation method

legendre_symbol = legendreSymbol(a,odd_prime) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply legendre symbol via euler criterion to the case below, keeping the displayed units and assumptions. Euler criterion for an odd prime modulus; composite moduli are rejected.

Legendre Symbol via Euler Criterion — worked case

Settings: odd prime: 11

Input:

5

Calculated result for these inputs:

Output:

{
  "legendre_symbol": 1
}

Choose the right tool

Choose number theory for exact integer relationships, distribution tools for a declared random model, and geometry tools for coordinates. A density is not a probability and a statistical model does not establish a real-world outcome.

Limitations and common mistakes

  • Euler criterion for an odd prime modulus; composite moduli are rejected. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use legendre symbol via euler criterion calculator online?

Enter a. Set odd prime. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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