What is the 5234th prime number?
The 5234th prime number is 51151. The next prime is 51157 (a gap of 6) and the one before is 51137.
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 5234th one is 51151.
- 2
51151 is prime because no prime up to ā51151 ā 226.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5234th prime is close to 5234 Ć ln(5234) ā 44818, and here it is 51151.
- 4
51151 has no twin: neither 51149 nor 51153 is prime.
Primes around the 5234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
Questions
What is the 5234th prime number?
51151.
Which prime number is 51151?
51151 is the 5234th prime number.
What is the sum of the first 5234 primes?
126,119,359.