Properties (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
prime numbers
|
| gptkbp:application |
cryptography
computer science algorithm design |
| gptkbp:characteristics |
they are a subset of prime numbers
|
| gptkbp:characterizedBy |
their association with elliptic curves
their connection to modular forms their contribution to mathematical discoveries their density among prime numbers their distribution properties their exploration in mathematical literature their historical significance in mathematics their impact on computational number theory their implications in cryptographic algorithms their influence on prime number research their occurrence in prime number theorems their position in the sequence of prime numbers their relation to other prime types their relevance in theoretical computer science their role in mathematical conjectures their role in the development of number theory their significance in mathematical proofs their use in mathematical modeling |
| gptkbp:defines |
the_condition_that_the_nth_prime_is_less_than_the_nth_Ramanujan_prime
|
| gptkbp:diedIn |
the sequence of natural numbers
|
| gptkbp:established |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:field |
mathematics
|
| gptkbp:hasBirthDate |
2
11 13 17 3 5 7 |
| https://www.w3.org/2000/01/rdf-schema#label |
Ramanujan primes
|
| gptkbp:is_essential_for |
they help in understanding the distribution of prime numbers
|
| gptkbp:isCitedBy |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:namedAfter |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:ninthClaim |
19
23 29 |
| gptkbp:relatedTo |
gptkb:Goldbach's_conjecture
Mersenne primes prime gaps Riemann hypothesis Chebyshev's bias sieve of Eratosthenes Fermat primes twin primes |
| gptkbp:research |
algebraic number theory
analytic number theory combinatorial number theory |
| gptkbp:series |
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
|
| gptkbp:usedIn |
number theory
|