What is the 2365th prime number?
The 2365th prime number is 21019. The next prime is 21023 (a gap of 4) and the one before is 21017.
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 2365th one is 21019.
- 2
21019 is prime because no prime up to ā21019 ā 144.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2365th prime is close to 2365 Ć ln(2365) ā 18373, and here it is 21019.
- 4
21019 is a twin prime: 21017 and 21019 are both prime.
Primes around the 2365th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
Questions
What is the 2365th prime number?
21019.
Which prime number is 21019?
21019 is the 2365th prime number.
What is the sum of the first 2365 primes?
23,283,852.