What is the 2437th prime number?
The 2437th prime number is 21727. The next prime is 21737 (a gap of 10) and the one before is 21713.
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 2437th one is 21727.
- 2
21727 is prime because no prime up to ā21727 ā 147.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2437th prime is close to 2437 Ć ln(2437) ā 19005, and here it is 21727.
- 4
21727 has no twin: neither 21725 nor 21729 is prime.
Primes around the 2437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
Questions
What is the 2437th prime number?
21727.
Which prime number is 21727?
21727 is the 2437th prime number.
What is the sum of the first 2437 primes?
24,823,470.