What is the 7233rd prime number?
The 7233rd prime number is 73181. The next prime is 73189 (a gap of 8) and the one before is 73141.
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 7233rd one is 73181.
- 2
73181 is prime because no prime up to ā73181 ā 270.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7233rd prime is close to 7233 Ć ln(7233) ā 64275, and here it is 73181.
- 4
73181 has no twin: neither 73179 nor 73183 is prime.
Primes around the 7233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
| 7233 | 73181 | 40 |
| 7234 | 73189 | 8 |
| 7235 | 73237 | 48 |
| 7236 | 73243 | 6 |
Questions
What is the 7233rd prime number?
73181.
Which prime number is 73181?
73181 is the 7233rd prime number.
What is the sum of the first 7233 primes?
250,215,992.