What is the 2423rd prime number?
The 2423rd prime number is 21587. The next prime is 21589 (a gap of 2) and the one before is 21577.
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 2423rd one is 21587.
- 2
21587 is prime because no prime up to ā21587 ā 146.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2423rd prime is close to 2423 Ć ln(2423) ā 18882, and here it is 21587.
- 4
21587 is a twin prime: 21587 and 21589 are both prime.
Primes around the 2423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
Questions
What is the 2423rd prime number?
21587.
Which prime number is 21587?
21587 is the 2423rd prime number.
What is the sum of the first 2423 primes?
24,520,386.