What is the 7239th prime number?
The 7239th prime number is 73291. The next prime is 73303 (a gap of 12) and the one before is 73277.
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 7239th one is 73291.
- 2
73291 is prime because no prime up to ā73291 ā 270.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7239th prime is close to 7239 Ć ln(7239) ā 64335, and here it is 73291.
- 4
73291 has no twin: neither 73289 nor 73293 is prime.
Primes around the 7239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7236 | 73243 | 6 |
| 7237 | 73259 | 16 |
| 7238 | 73277 | 18 |
| 7239 | 73291 | 14 |
| 7240 | 73303 | 12 |
| 7241 | 73309 | 6 |
| 7242 | 73327 | 18 |
Questions
What is the 7239th prime number?
73291.
Which prime number is 73291?
73291 is the 7239th prime number.
What is the sum of the first 7239 primes?
250,655,488.