What is the 7231st prime number?
The 7231st prime number is 73133. The next prime is 73141 (a gap of 8) and the one before is 73127.
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 7231st one is 73133.
- 2
73133 is prime because no prime up to ā73133 ā 270.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7231st prime is close to 7231 Ć ln(7231) ā 64256, and here it is 73133.
- 4
73133 has no twin: neither 73131 nor 73135 is prime.
Primes around the 7231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7228 | 73091 | 12 |
| 7229 | 73121 | 30 |
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
| 7233 | 73181 | 40 |
| 7234 | 73189 | 8 |
Questions
What is the 7231st prime number?
73133.
Which prime number is 73133?
73133 is the 7231st prime number.
What is the sum of the first 7231 primes?
250,069,670.