What is the 7338th prime number?
The 7338th prime number is 74381. The next prime is 74383 (a gap of 2) and the one before is 74377.
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 7338th one is 74381.
- 2
74381 is prime because no prime up to ā74381 ā 272.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7338th prime is close to 7338 Ć ln(7338) ā 65314, and here it is 74381.
- 4
74381 is a twin prime: 74381 and 74383 are both prime.
Primes around the 7338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7335 | 74357 | 4 |
| 7336 | 74363 | 6 |
| 7337 | 74377 | 14 |
| 7338 | 74381 | 4 |
| 7339 | 74383 | 2 |
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
Questions
What is the 7338th prime number?
74381.
Which prime number is 74381?
74381 is the 7338th prime number.
What is the sum of the first 7338 primes?
257,966,285.