What is the 5431st prime number?
The 5431st prime number is 53233. The next prime is 53239 (a gap of 6) and the one before is 53231.
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 5431st one is 53233.
- 2
53233 is prime because no prime up to ā53233 ā 230.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5431st prime is close to 5431 Ć ln(5431) ā 46706, and here it is 53233.
- 4
53233 is a twin prime: 53231 and 53233 are both prime.
Primes around the 5431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
Questions
What is the 5431st prime number?
53233.
Which prime number is 53233?
53233 is the 5431st prime number.
What is the sum of the first 5431 primes?
136,398,584.