What is the 2760th prime number?
The 2760th prime number is 24977. The next prime is 24979 (a gap of 2) and the one before is 24971.
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 2760th one is 24977.
- 2
24977 is prime because no prime up to ā24977 ā 158.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2760th prime is close to 2760 Ć ln(2760) ā 21867, and here it is 24977.
- 4
24977 is a twin prime: 24977 and 24979 are both prime.
Primes around the 2760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
Questions
What is the 2760th prime number?
24977.
Which prime number is 24977?
24977 is the 2760th prime number.
What is the sum of the first 2760 primes?
32,355,749.