What is the 1811th prime number?
The 1811th prime number is 15511. The next prime is 15527 (a gap of 16) and the one before is 15497.
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 1811th one is 15511.
- 2
15511 is prime because no prime up to ā15511 ā 124.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1811th prime is close to 1811 Ć ln(1811) ā 13585, and here it is 15511.
- 4
15511 has no twin: neither 15509 nor 15513 is prime.
Primes around the 1811th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1808 | 15473 | 6 |
| 1809 | 15493 | 20 |
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
| 1814 | 15551 | 10 |
Questions
What is the 1811th prime number?
15511.
Which prime number is 15511?
15511 is the 1811th prime number.
What is the sum of the first 1811 primes?
13,166,066.