What is the 2678th prime number?
The 2678th prime number is 24077. The next prime is 24083 (a gap of 6) and the one before is 24071.
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 2678th one is 24077.
- 2
24077 is prime because no prime up to ā24077 ā 155.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2678th prime is close to 2678 Ć ln(2678) ā 21137, and here it is 24077.
- 4
24077 has no twin: neither 24075 nor 24079 is prime.
Primes around the 2678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
Questions
What is the 2678th prime number?
24077.
Which prime number is 24077?
24077 is the 2678th prime number.
What is the sum of the first 2678 primes?
30,345,129.