What is the 5233rd prime number?
The 5233rd prime number is 51137. The next prime is 51151 (a gap of 14) and the one before is 51133.
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 5233rd one is 51137.
- 2
51137 is prime because no prime up to ā51137 ā 226.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5233rd prime is close to 5233 Ć ln(5233) ā 44809, and here it is 51137.
- 4
51137 has no twin: neither 51135 nor 51139 is prime.
Primes around the 5233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
Questions
What is the 5233rd prime number?
51137.
Which prime number is 51137?
51137 is the 5233rd prime number.
What is the sum of the first 5233 primes?
126,068,208.