What is the 3538th prime number?
The 3538th prime number is 32999. The next prime is 33013 (a gap of 14) and the one before is 32993.
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 3538th one is 32999.
- 2
32999 is prime because no prime up to ā32999 ā 181.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3538th prime is close to 3538 Ć ln(3538) ā 28910, and here it is 32999.
- 4
32999 has no twin: neither 32997 nor 33001 is prime.
Primes around the 3538th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3535 | 32983 | 12 |
| 3536 | 32987 | 4 |
| 3537 | 32993 | 6 |
| 3538 | 32999 | 6 |
| 3539 | 33013 | 14 |
| 3540 | 33023 | 10 |
| 3541 | 33029 | 6 |
Questions
What is the 3538th prime number?
32999.
Which prime number is 32999?
32999 is the 3538th prime number.
What is the sum of the first 3538 primes?
54,911,797.