What is the 2436th prime number?
The 2436th prime number is 21713. The next prime is 21727 (a gap of 14) and the one before is 21701.
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 2436th one is 21713.
- 2
21713 is prime because no prime up to ā21713 ā 147.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2436th prime is close to 2436 Ć ln(2436) ā 18996, and here it is 21713.
- 4
21713 has no twin: neither 21711 nor 21715 is prime.
Primes around the 2436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
Questions
What is the 2436th prime number?
21713.
Which prime number is 21713?
21713 is the 2436th prime number.
What is the sum of the first 2436 primes?
24,801,743.