What is the 1813th prime number?
The 1813th prime number is 15541. The next prime is 15551 (a gap of 10) and the one before is 15527.
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 1813th one is 15541.
- 2
15541 is prime because no prime up to ā15541 ā 124.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1813th prime is close to 1813 Ć ln(1813) ā 13602, and here it is 15541.
- 4
15541 has no twin: neither 15539 nor 15543 is prime.
Primes around the 1813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1810 | 15497 | 4 |
| 1811 | 15511 | 14 |
| 1812 | 15527 | 16 |
| 1813 | 15541 | 14 |
| 1814 | 15551 | 10 |
| 1815 | 15559 | 8 |
| 1816 | 15569 | 10 |
Questions
What is the 1813th prime number?
15541.
Which prime number is 15541?
15541 is the 1813th prime number.
What is the sum of the first 1813 primes?
13,197,134.