What is the 7341st prime number?
The 7341st prime number is 74413. The next prime is 74419 (a gap of 6) and the one before is 74411.
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 7341st one is 74413.
- 2
74413 is prime because no prime up to ā74413 ā 272.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7341st prime is close to 7341 Ć ln(7341) ā 65344, and here it is 74413.
- 4
74413 is a twin prime: 74411 and 74413 are both prime.
Primes around the 7341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7338 | 74381 | 4 |
| 7339 | 74383 | 2 |
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
| 7342 | 74419 | 6 |
| 7343 | 74441 | 22 |
| 7344 | 74449 | 8 |
Questions
What is the 7341st prime number?
74413.
Which prime number is 74413?
74413 is the 7341st prime number.
What is the sum of the first 7341 primes?
258,189,492.