What is the 5231st prime number?
The 5231st prime number is 51131. The next prime is 51133 (a gap of 2) and the one before is 51109.
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 5231st one is 51131.
- 2
51131 is prime because no prime up to ā51131 ā 226.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5231st prime is close to 5231 Ć ln(5231) ā 44790, and here it is 51131.
- 4
51131 is a twin prime: 51131 and 51133 are both prime.
Primes around the 5231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5228 | 51061 | 2 |
| 5229 | 51071 | 10 |
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
Questions
What is the 5231st prime number?
51131.
Which prime number is 51131?
51131 is the 5231st prime number.
What is the sum of the first 5231 primes?
125,965,938.