What is the 2664th prime number?
The 2664th prime number is 23957. The next prime is 23971 (a gap of 14) and the one before is 23929.
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 2664th one is 23957.
- 2
23957 is prime because no prime up to ā23957 ā 154.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2664th prime is close to 2664 Ć ln(2664) ā 21013, and here it is 23957.
- 4
23957 has no twin: neither 23955 nor 23959 is prime.
Primes around the 2664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
| 2667 | 23981 | 4 |
Questions
What is the 2664th prime number?
23957.
Which prime number is 23957?
23957 is the 2664th prime number.
What is the sum of the first 2664 primes?
30,008,827.