What is the 2753rd prime number?
The 2753rd prime number is 24917. The next prime is 24919 (a gap of 2) and the one before is 24907.
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 2753rd one is 24917.
- 2
24917 is prime because no prime up to ā24917 ā 157.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2753rd prime is close to 2753 Ć ln(2753) ā 21805, and here it is 24917.
- 4
24917 is a twin prime: 24917 and 24919 are both prime.
Primes around the 2753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
Questions
What is the 2753rd prime number?
24917.
Which prime number is 24917?
24917 is the 2753rd prime number.
What is the sum of the first 2753 primes?
32,181,096.