What is the 5237th prime number?
The 5237th prime number is 51193. The next prime is 51197 (a gap of 4) and the one before is 51169.
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 5237th one is 51193.
- 2
51193 is prime because no prime up to ā51193 ā 226.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5237th prime is close to 5237 Ć ln(5237) ā 44847, and here it is 51193.
- 4
51193 has no twin: neither 51191 nor 51195 is prime.
Primes around the 5237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
| 5236 | 51169 | 12 |
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
Questions
What is the 5237th prime number?
51193.
Which prime number is 51193?
51193 is the 5237th prime number.
What is the sum of the first 5237 primes?
126,272,878.