What is the 2679th prime number?
The 2679th prime number is 24083. The next prime is 24091 (a gap of 8) and the one before is 24077.
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 2679th one is 24083.
- 2
24083 is prime because no prime up to ā24083 ā 155.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2679th prime is close to 2679 Ć ln(2679) ā 21146, and here it is 24083.
- 4
24083 has no twin: neither 24081 nor 24085 is prime.
Primes around the 2679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
Questions
What is the 2679th prime number?
24083.
Which prime number is 24083?
24083 is the 2679th prime number.
What is the sum of the first 2679 primes?
30,369,212.