What is the 2755th prime number?
The 2755th prime number is 24923. The next prime is 24943 (a gap of 20) and the one before is 24919.
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, ⦠The 2755th one is 24923.
- 2
24923 is prime because no prime up to ā24923 ā 157.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2755th prime is close to 2755 Ć ln(2755) ā 21823, and here it is 24923.
- 4
24923 has no twin: neither 24921 nor 24925 is prime.
Primes around the 2755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2752 | 24907 | 18 |
| 2753 | 24917 | 10 |
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
Questions
What is the 2755th prime number?
24923.
Which prime number is 24923?
24923 is the 2755th prime number.
What is the sum of the first 2755 primes?
32,230,938.