What is the 2662nd prime number?
The 2662nd prime number is 23917. The next prime is 23929 (a gap of 12) and the one before is 23911.
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 2662nd one is 23917.
- 2
23917 is prime because no prime up to ā23917 ā 154.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2662nd prime is close to 2662 Ć ln(2662) ā 20995, and here it is 23917.
- 4
23917 has no twin: neither 23915 nor 23919 is prime.
Primes around the 2662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2659 | 23899 | 6 |
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
Questions
What is the 2662nd prime number?
23917.
Which prime number is 23917?
23917 is the 2662nd prime number.
What is the sum of the first 2662 primes?
29,960,941.