What is the 2422nd prime number?
The 2422nd prime number is 21577. The next prime is 21587 (a gap of 10) and the one before is 21569.
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 2422nd one is 21577.
- 2
21577 is prime because no prime up to ā21577 ā 146.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2422nd prime is close to 2422 Ć ln(2422) ā 18873, and here it is 21577.
- 4
21577 has no twin: neither 21575 nor 21579 is prime.
Primes around the 2422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
Questions
What is the 2422nd prime number?
21577.
Which prime number is 21577?
21577 is the 2422nd prime number.
What is the sum of the first 2422 primes?
24,498,799.