What is the 2803rd prime number?
The 2803rd prime number is 25423. The next prime is 25439 (a gap of 16) and the one before is 25411.
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 2803rd one is 25423.
- 2
25423 is prime because no prime up to ā25423 ā 159.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2803rd prime is close to 2803 Ć ln(2803) ā 22251, and here it is 25423.
- 4
25423 has no twin: neither 25421 nor 25425 is prime.
Primes around the 2803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
| 2804 | 25439 | 16 |
| 2805 | 25447 | 8 |
| 2806 | 25453 | 6 |
Questions
What is the 2803rd prime number?
25423.
Which prime number is 25423?
25423 is the 2803rd prime number.
What is the sum of the first 2803 primes?
33,439,788.