What is the 2757th prime number?
The 2757th prime number is 24953. The next prime is 24967 (a gap of 14) and the one before is 24943.
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 2757th one is 24953.
- 2
24953 is prime because no prime up to ā24953 ā 157.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2757th prime is close to 2757 Ć ln(2757) ā 21841, and here it is 24953.
- 4
24953 has no twin: neither 24951 nor 24955 is prime.
Primes around the 2757th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2754 | 24919 | 2 |
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
Questions
What is the 2757th prime number?
24953.
Which prime number is 24953?
24953 is the 2757th prime number.
What is the sum of the first 2757 primes?
32,280,834.