What is the 2191st prime number?
The 2191st prime number is 19333. The next prime is 19373 (a gap of 40) and the one before is 19319.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2191st one is 19333.
- 2
19333 is prime because no prime up to ā19333 ā 139.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2191st prime is close to 2191 Ć ln(2191) ā 16853, and here it is 19333.
- 4
19333 has no twin: neither 19331 nor 19335 is prime.
Primes around the 2191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2188 | 19301 | 12 |
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
| 2192 | 19373 | 40 |
| 2193 | 19379 | 6 |
| 2194 | 19381 | 2 |
Questions
What is the 2191st prime number?
19333.
Which prime number is 19333?
19333 is the 2191st prime number.
What is the sum of the first 2191 primes?
19,774,962.