What is the 2758th prime number?
The 2758th prime number is 24967. The next prime is 24971 (a gap of 4) and the one before is 24953.
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 2758th one is 24967.
- 2
24967 is prime because no prime up to ā24967 ā 158.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2758th prime is close to 2758 Ć ln(2758) ā 21850, and here it is 24967.
- 4
24967 has no twin: neither 24965 nor 24969 is prime.
Primes around the 2758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2755 | 24923 | 4 |
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
Questions
What is the 2758th prime number?
24967.
Which prime number is 24967?
24967 is the 2758th prime number.
What is the sum of the first 2758 primes?
32,305,801.