What is the 7230th prime number?
The 7230th prime number is 73127. The next prime is 73133 (a gap of 6) and the one before is 73121.
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 7230th one is 73127.
- 2
73127 is prime because no prime up to ā73127 ā 270.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7230th prime is close to 7230 Ć ln(7230) ā 64246, and here it is 73127.
- 4
73127 has no twin: neither 73125 nor 73129 is prime.
Primes around the 7230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7227 | 73079 | 16 |
| 7228 | 73091 | 12 |
| 7229 | 73121 | 30 |
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
| 7233 | 73181 | 40 |
Questions
What is the 7230th prime number?
73127.
Which prime number is 73127?
73127 is the 7230th prime number.
What is the sum of the first 7230 primes?
249,996,537.