What is the 5430th prime number?
The 5430th prime number is 53231. The next prime is 53233 (a gap of 2) and the one before is 53201.
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 5430th one is 53231.
- 2
53231 is prime because no prime up to ā53231 ā 230.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5430th prime is close to 5430 Ć ln(5430) ā 46696, and here it is 53231.
- 4
53231 is a twin prime: 53231 and 53233 are both prime.
Primes around the 5430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
Questions
What is the 5430th prime number?
53231.
Which prime number is 53231?
53231 is the 5430th prime number.
What is the sum of the first 5430 primes?
136,345,351.