What is the 5240th prime number?
The 5240th prime number is 51203. The next prime is 51217 (a gap of 14) and the one before is 51199.
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 5240th one is 51203.
- 2
51203 is prime because no prime up to ā51203 ā 226.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5240th prime is close to 5240 Ć ln(5240) ā 44876, and here it is 51203.
- 4
51203 has no twin: neither 51201 nor 51205 is prime.
Primes around the 5240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5237 | 51193 | 24 |
| 5238 | 51197 | 4 |
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
Questions
What is the 5240th prime number?
51203.
Which prime number is 51203?
51203 is the 5240th prime number.
What is the sum of the first 5240 primes?
126,426,477.