What is the 7339th prime number?
The 7339th prime number is 74383. The next prime is 74411 (a gap of 28) and the one before is 74381.
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 7339th one is 74383.
- 2
74383 is prime because no prime up to ā74383 ā 272.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7339th prime is close to 7339 Ć ln(7339) ā 65324, and here it is 74383.
- 4
74383 is a twin prime: 74381 and 74383 are both prime.
Primes around the 7339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7336 | 74363 | 6 |
| 7337 | 74377 | 14 |
| 7338 | 74381 | 4 |
| 7339 | 74383 | 2 |
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
| 7342 | 74419 | 6 |
Questions
What is the 7339th prime number?
74383.
Which prime number is 74383?
74383 is the 7339th prime number.
What is the sum of the first 7339 primes?
258,040,668.