What is the 2661st prime number?
The 2661st prime number is 23911. The next prime is 23917 (a gap of 6) and the one before is 23909.
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 2661st one is 23911.
- 2
23911 is prime because no prime up to ā23911 ā 154.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2661st prime is close to 2661 Ć ln(2661) ā 20986, and here it is 23911.
- 4
23911 is a twin prime: 23909 and 23911 are both prime.
Primes around the 2661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
Questions
What is the 2661st prime number?
23911.
Which prime number is 23911?
23911 is the 2661st prime number.
What is the sum of the first 2661 primes?
29,937,024.