What is the 1801st prime number?
The 1801st prime number is 15413. The next prime is 15427 (a gap of 14) and the one before is 15401.
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 1801st one is 15413.
- 2
15413 is prime because no prime up to ā15413 ā 124.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1801st prime is close to 1801 Ć ln(1801) ā 13500, and here it is 15413.
- 4
15413 has no twin: neither 15411 nor 15415 is prime.
Primes around the 1801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
| 1803 | 15439 | 12 |
| 1804 | 15443 | 4 |
Questions
What is the 1801st prime number?
15413.
Which prime number is 15413?
15413 is the 1801st prime number.
What is the sum of the first 1801 primes?
13,011,404.