the nth Ramanujan prime R_n is the least integer such that for all x ≥ R_n, π(x) − π(x/2) ≥ n

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A Ramanujan prime is a special kind of prime number that guarantees, from a certain point onward, at least a specified number of primes in every interval between x/2 and x.

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Ramanujan prime definition the nth Ramanujan prime R_n is the least integer such that for all x ≥ R_n, π(x) − π(x/2) ≥ n