What is the 7342nd prime number?
The 7342nd prime number is 74419. The next prime is 74441 (a gap of 22) and the one before is 74413.
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 7342nd one is 74419.
- 2
74419 is prime because no prime up to ā74419 ā 272.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7342nd prime is close to 7342 Ć ln(7342) ā 65354, and here it is 74419.
- 4
74419 has no twin: neither 74417 nor 74421 is prime.
Primes around the 7342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7339 | 74383 | 2 |
| 7340 | 74411 | 28 |
| 7341 | 74413 | 2 |
| 7342 | 74419 | 6 |
| 7343 | 74441 | 22 |
| 7344 | 74449 | 8 |
| 7345 | 74453 | 4 |
Questions
What is the 7342nd prime number?
74419.
Which prime number is 74419?
74419 is the 7342nd prime number.
What is the sum of the first 7342 primes?
258,263,911.