What is the 2802nd prime number?
The 2802nd prime number is 25411. The next prime is 25423 (a gap of 12) and the one before is 25409.
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 2802nd one is 25411.
- 2
25411 is prime because no prime up to ā25411 ā 159.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2802nd prime is close to 2802 Ć ln(2802) ā 22243, and here it is 25411.
- 4
25411 is a twin prime: 25409 and 25411 are both prime.
Primes around the 2802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
| 2804 | 25439 | 16 |
| 2805 | 25447 | 8 |
Questions
What is the 2802nd prime number?
25411.
Which prime number is 25411?
25411 is the 2802nd prime number.
What is the sum of the first 2802 primes?
33,414,365.