What is the 5230th prime number?
The 5230th prime number is 51109. The next prime is 51131 (a gap of 22) and the one before is 51071.
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 5230th one is 51109.
- 2
51109 is prime because no prime up to ā51109 ā 226.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5230th prime is close to 5230 Ć ln(5230) ā 44780, and here it is 51109.
- 4
51109 has no twin: neither 51107 nor 51111 is prime.
Primes around the 5230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5227 | 51059 | 12 |
| 5228 | 51061 | 2 |
| 5229 | 51071 | 10 |
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
Questions
What is the 5230th prime number?
51109.
Which prime number is 51109?
51109 is the 5230th prime number.
What is the sum of the first 5230 primes?
125,914,807.