What is the 3539th prime number?
The 3539th prime number is 33013. The next prime is 33023 (a gap of 10) and the one before is 32999.
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 3539th one is 33013.
- 2
33013 is prime because no prime up to ā33013 ā 181.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3539th prime is close to 3539 Ć ln(3539) ā 28919, and here it is 33013.
- 4
33013 has no twin: neither 33011 nor 33015 is prime.
Primes around the 3539th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3536 | 32987 | 4 |
| 3537 | 32993 | 6 |
| 3538 | 32999 | 6 |
| 3539 | 33013 | 14 |
| 3540 | 33023 | 10 |
| 3541 | 33029 | 6 |
| 3542 | 33037 | 8 |
Questions
What is the 3539th prime number?
33013.
Which prime number is 33013?
33013 is the 3539th prime number.
What is the sum of the first 3539 primes?
54,944,810.