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Prime Numbers API is unlike any other API in the world -- counting and calculating each number, non-stop, for over 3.5 years! The results have yielded a database of over 5.1 billion prime numbers (out of the initial 130 billion composite numbers)! Not only that, but calculating each one of their prime types (Palindromes, Twins, Cousins, Sexys, Reversibles, Pandigitals, Repunits, Mersenne and Fibonacci), their densities and isolation levels (rare prime numbers with an average density of 0.000124565509% that are 200 to 500+ composite numbers away from each of their neighbors), useful for some of the strongest cryptography in the world, security experts, maths enthusiasts, and primes researchers alike will absolutely love our API!
Fun security fact: the average probability of finding one of the isolated prime numbers by accident is 1 in over 800,000 (or 0.000124565509%)! The chances of being struck by lightning are 1 in 500,000!
We've translated the output from our API into eight of the world's most commonly used languages (Mandarin, Hindi, Spanish, French, German, Italian, Japanese, and Russian) so now mathematicians and security experts from all over the world can benefit from Prime Numbers API! Likewise, each output is conveniently translated into binary, senary, and hexa values (the language of computers, smart devices, and robots). Furthermore, each prime number is home-grown, curated, and 100% genuine; and it even comes with its very own birth certificate! No copies, clones, or placeholders here!
The results have a multitude of configurations. These range from simple and fast to incredibly verbose, with extensive explanations for each field. Whether you're looking for efficient server-to-server communication or you're in need of prime numbers for educational or research purposes, the results can be custom-tailored to suit your needs!
Below is a list of our prime types output along with their explanations:
- Isolated: rare prime numbers with an average density of 0.000124565509% that are 200 to 500+ composite numbers away from each of their neighbors
- Palindromes: primes that read the same backward as forwards (examples: 101, 373, 919)
- Twins: primes that are no more than 2 composite numbers from each other (examples: (5, 7), (11, 13), (17, 19))
- Cousins: primes that are no more than 4 composite numbers from each other (examples: (7, 11), (37, 41), (43, 47))
- Sexys: primes that are no more than 6 composite numbers from each other (examples: (7,13), (13,19), (23,29))
- Reversibles: primes that become a different prime when their decimal digits are reversed (examples: 37, 107, 149)
- Pandigitals: primes in a base has at least one instance of each base digit (examples: 2143 (base 4), 7654321 (base 7))
- Repunits: primes are positive integers in which every digit is one (examples: 11, 1111111111111111111)
- Mersenne: primes that are of the form 2n - 1 (one less than a power of two) for some integer n (examples: 3 (2^2 - 1), 7 (2^3 - 1), 31 (2^5 - 1) )
- Fibonacci: primes that are also Fibonacci numbers (examples: 89, 233, 1597)
- Prime type densities: how many prime type numbers in percentage can be found in every million composite numbers