What is the 5434th prime number?
The 5434th prime number is 53269. The next prime is 53279 (a gap of 10) and the one before is 53267.
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 5434th one is 53269.
- 2
53269 is prime because no prime up to ā53269 ā 230.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5434th prime is close to 5434 Ć ln(5434) ā 46735, and here it is 53269.
- 4
53269 is a twin prime: 53267 and 53269 are both prime.
Primes around the 5434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
| 5436 | 53281 | 2 |
| 5437 | 53299 | 18 |
Questions
What is the 5434th prime number?
53269.
Which prime number is 53269?
53269 is the 5434th prime number.
What is the sum of the first 5434 primes?
136,558,359.