What is the 5437th prime number?
The 5437th prime number is 53299. The next prime is 53309 (a gap of 10) and the one before is 53281.
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 5437th one is 53299.
- 2
53299 is prime because no prime up to ā53299 ā 230.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5437th prime is close to 5437 Ć ln(5437) ā 46764, and here it is 53299.
- 4
53299 has no twin: neither 53297 nor 53301 is prime.
Primes around the 5437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
| 5436 | 53281 | 2 |
| 5437 | 53299 | 18 |
| 5438 | 53309 | 10 |
| 5439 | 53323 | 14 |
| 5440 | 53327 | 4 |
Questions
What is the 5437th prime number?
53299.
Which prime number is 53299?
53299 is the 5437th prime number.
What is the sum of the first 5437 primes?
136,718,218.