What is the 5235th prime number?
The 5235th prime number is 51157. The next prime is 51169 (a gap of 12) and the one before is 51151.
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 5235th one is 51157.
- 2
51157 is prime because no prime up to ā51157 ā 226.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5235th prime is close to 5235 Ć ln(5235) ā 44828, and here it is 51157.
- 4
51157 has no twin: neither 51155 nor 51159 is prime.
Primes around the 5235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
Questions
What is the 5235th prime number?
51157.
Which prime number is 51157?
51157 is the 5235th prime number.
What is the sum of the first 5235 primes?
126,170,516.