What is the 7422nd prime number?
The 7422nd prime number is 75329. The next prime is 75337 (a gap of 8) and the one before is 75323.
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 7422nd one is 75329.
- 2
75329 is prime because no prime up to ā75329 ā 274.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7422nd prime is close to 7422 Ć ln(7422) ā 66146, and here it is 75329.
- 4
75329 has no twin: neither 75327 nor 75331 is prime.
Primes around the 7422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7419 | 75289 | 12 |
| 7420 | 75307 | 18 |
| 7421 | 75323 | 16 |
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
| 7424 | 75347 | 10 |
| 7425 | 75353 | 6 |
Questions
What is the 7422nd prime number?
75329.
Which prime number is 75329?
75329 is the 7422nd prime number.
What is the sum of the first 7422 primes?
264,254,047.