What is the 5242nd prime number?
The 5242nd prime number is 51229. The next prime is 51239 (a gap of 10) and the one before is 51217.
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 5242nd one is 51229.
- 2
51229 is prime because no prime up to ā51229 ā 226.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5242nd prime is close to 5242 Ć ln(5242) ā 44895, and here it is 51229.
- 4
51229 has no twin: neither 51227 nor 51231 is prime.
Primes around the 5242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5239 | 51199 | 2 |
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
Questions
What is the 5242nd prime number?
51229.
Which prime number is 51229?
51229 is the 5242nd prime number.
What is the sum of the first 5242 primes?
126,528,923.