What is the 1814th prime number?
The 1814th prime number is 15551. The next prime is 15559 (a gap of 8) and the one before is 15541.
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 1814th one is 15551.
- 2
15551 is prime because no prime up to ā15551 ā 124.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1814th prime is close to 1814 Ć ln(1814) ā 13611, and here it is 15551.
- 4
15551 has no twin: neither 15549 nor 15553 is prime.
Primes around the 1814th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
| 1814 | 15551 | 10 |
| 1815 | 15559 | 8 |
| 1816 | 15569 | 10 |
| 1817 | 15581 | 12 |
Questions
What is the 1814th prime number?
15551.
Which prime number is 15551?
15551 is the 1814th prime number.
What is the sum of the first 1814 primes?
13,212,685.