What is the 2363rd prime number?
The 2363rd prime number is 21013. The next prime is 21017 (a gap of 4) and the one before is 21011.
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 2363rd one is 21013.
- 2
21013 is prime because no prime up to ā21013 ā 144.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2363rd prime is close to 2363 Ć ln(2363) ā 18355, and here it is 21013.
- 4
21013 is a twin prime: 21011 and 21013 are both prime.
Primes around the 2363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
Questions
What is the 2363rd prime number?
21013.
Which prime number is 21013?
21013 is the 2363rd prime number.
What is the sum of the first 2363 primes?
23,241,816.