What is the 537th prime number?
The 537th prime number is 3877. The next prime is 3881 (a gap of 4) and the one before is 3863.
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 537th one is 3877.
- 2
3877 is prime because no prime up to ā3877 ā 62.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 537th prime is close to 537 Ć ln(537) ā 3376, and here it is 3877.
- 4
3877 has no twin: neither 3875 nor 3879 is prime.
Primes around the 537th
| Position | Prime | Gap from the previous |
|---|---|---|
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
| 536 | 3863 | 10 |
| 537 | 3877 | 14 |
| 538 | 3881 | 4 |
| 539 | 3889 | 8 |
| 540 | 3907 | 18 |
Questions
What is the 537th prime number?
3877.
Which prime number is 3877?
3877 is the 537th prime number.
What is the sum of the first 537 primes?
962,454.