What is the 2663rd prime number?
The 2663rd prime number is 23929. The next prime is 23957 (a gap of 28) and the one before is 23917.
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 2663rd one is 23929.
- 2
23929 is prime because no prime up to ā23929 ā 154.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2663rd prime is close to 2663 Ć ln(2663) ā 21004, and here it is 23929.
- 4
23929 has no twin: neither 23927 nor 23931 is prime.
Primes around the 2663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2660 | 23909 | 10 |
| 2661 | 23911 | 2 |
| 2662 | 23917 | 6 |
| 2663 | 23929 | 12 |
| 2664 | 23957 | 28 |
| 2665 | 23971 | 14 |
| 2666 | 23977 | 6 |
Questions
What is the 2663rd prime number?
23929.
Which prime number is 23929?
23929 is the 2663rd prime number.
What is the sum of the first 2663 primes?
29,984,870.