What is the 7234th prime number?
The 7234th prime number is 73189. The next prime is 73237 (a gap of 48) and the one before is 73181.
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 7234th one is 73189.
- 2
73189 is prime because no prime up to ā73189 ā 270.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7234th prime is close to 7234 Ć ln(7234) ā 64285, and here it is 73189.
- 4
73189 has no twin: neither 73187 nor 73191 is prime.
Primes around the 7234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
| 7233 | 73181 | 40 |
| 7234 | 73189 | 8 |
| 7235 | 73237 | 48 |
| 7236 | 73243 | 6 |
| 7237 | 73259 | 16 |
Questions
What is the 7234th prime number?
73189.
Which prime number is 73189?
73189 is the 7234th prime number.
What is the sum of the first 7234 primes?
250,289,181.