What is the 5236th prime number?
The 5236th prime number is 51169. The next prime is 51193 (a gap of 24) and the one before is 51157.
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 5236th one is 51169.
- 2
51169 is prime because no prime up to ā51169 ā 226.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5236th prime is close to 5236 Ć ln(5236) ā 44838, and here it is 51169.
- 4
51169 has no twin: neither 51167 nor 51171 is prime.
Primes around the 5236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
Questions
What is the 5236th prime number?
51169.
Which prime number is 51169?
51169 is the 5236th prime number.
What is the sum of the first 5236 primes?
126,221,685.