What is the 2660th prime number?
The 2660th prime number is 23909. The next prime is 23911 (a gap of 2) and the one before is 23899.
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 2660th one is 23909.
- 2
23909 is prime because no prime up to ā23909 ā 154.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2660th prime is close to 2660 Ć ln(2660) ā 20977, and here it is 23909.
- 4
23909 is a twin prime: 23909 and 23911 are both prime.
Primes around the 2660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
Questions
What is the 2660th prime number?
23909.
Which prime number is 23909?
23909 is the 2660th prime number.
What is the sum of the first 2660 primes?
29,913,113.