What is the 7340th prime number?
The 7340th prime number is 74411. The next prime is 74413 (a gap of 2) and the one before is 74383.
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 7340th one is 74411.
- 2
74411 is prime because no prime up to ā74411 ā 272.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7340th prime is close to 7340 Ć ln(7340) ā 65334, and here it is 74411.
- 4
74411 is a twin prime: 74411 and 74413 are both prime.
Primes around the 7340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7337 | 74377 | 14 |
| 7338 | 74381 | 4 |
| 7339 | 74383 | 2 |
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
| 7342 | 74419 | 6 |
| 7343 | 74441 | 22 |
Questions
What is the 7340th prime number?
74411.
Which prime number is 74411?
74411 is the 7340th prime number.
What is the sum of the first 7340 primes?
258,115,079.