What is the 2754th prime number?
The 2754th prime number is 24919. The next prime is 24923 (a gap of 4) and the one before is 24917.
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 2754th one is 24919.
- 2
24919 is prime because no prime up to ā24919 ā 157.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2754th prime is close to 2754 Ć ln(2754) ā 21814, and here it is 24919.
- 4
24919 is a twin prime: 24917 and 24919 are both prime.
Primes around the 2754th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
Questions
What is the 2754th prime number?
24919.
Which prime number is 24919?
24919 is the 2754th prime number.
What is the sum of the first 2754 primes?
32,206,015.