Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
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Convert integer tuples into Heegner field primes when applicable
ResourceFunction["HeegnerPrime"][{a,b},h] converts tuple {a,b} into a prime number for field when applicable. |
Show the Heegner primes generated by tuple {1,2}:
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Tuples with a common divisor do not have corresponding Heegner primes:
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Applying HeegnerPrime to these tuples gives Null:
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Generate some Eisenstein primes from the field :
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Show these in the complex plane:
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The tuple {19,30} generates all Heegner primes, except the corresponding Gaussian prime:
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Generate some Gaussian primes from the field :
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Show these in the complex plane:
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Show some Kleinian primes from the field :
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