What is the 539th prime number?
The 539th prime number is 3889. The next prime is 3907 (a gap of 18) and the one before is 3881.
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 539th one is 3889.
- 2
3889 is prime because no prime up to ā3889 ā 62.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 539th prime is close to 539 Ć ln(539) ā 3390, and here it is 3889.
- 4
3889 has no twin: neither 3887 nor 3891 is prime.
Primes around the 539th
| Position | Prime | Gap from the previous |
|---|---|---|
| 536 | 3863 | 10 |
| 537 | 3877 | 14 |
| 538 | 3881 | 4 |
| 539 | 3889 | 8 |
| 540 | 3907 | 18 |
| 541 | 3911 | 4 |
| 542 | 3917 | 6 |
Questions
What is the 539th prime number?
3889.
Which prime number is 3889?
3889 is the 539th prime number.
What is the sum of the first 539 primes?
970,224.