What is the 2676th prime number?
The 2676th prime number is 24061. The next prime is 24071 (a gap of 10) and the one before is 24049.
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 2676th one is 24061.
- 2
24061 is prime because no prime up to ā24061 ā 155.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2676th prime is close to 2676 Ć ln(2676) ā 21119, and here it is 24061.
- 4
24061 has no twin: neither 24059 nor 24063 is prime.
Primes around the 2676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2673 | 24029 | 6 |
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
Questions
What is the 2676th prime number?
24061.
Which prime number is 24061?
24061 is the 2676th prime number.
What is the sum of the first 2676 primes?
30,296,981.