What is the 7343rd prime number?
The 7343rd prime number is 74441. The next prime is 74449 (a gap of 8) and the one before is 74419.
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 7343rd one is 74441.
- 2
74441 is prime because no prime up to ā74441 ā 272.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7343rd prime is close to 7343 Ć ln(7343) ā 65364, and here it is 74441.
- 4
74441 has no twin: neither 74439 nor 74443 is prime.
Primes around the 7343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
| 7342 | 74419 | 6 |
| 7343 | 74441 | 22 |
| 7344 | 74449 | 8 |
| 7345 | 74453 | 4 |
| 7346 | 74471 | 18 |
Questions
What is the 7343rd prime number?
74441.
Which prime number is 74441?
74441 is the 7343rd prime number.
What is the sum of the first 7343 primes?
258,338,352.