What is the 3549th prime number?
The 3549th prime number is 33107. The next prime is 33113 (a gap of 6) and the one before is 33091.
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 3549th one is 33107.
- 2
33107 is prime because no prime up to ā33107 ā 181.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3549th prime is close to 3549 Ć ln(3549) ā 29011, and here it is 33107.
- 4
33107 has no twin: neither 33105 nor 33109 is prime.
Primes around the 3549th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3546 | 33073 | 2 |
| 3547 | 33083 | 10 |
| 3548 | 33091 | 8 |
| 3549 | 33107 | 16 |
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
Questions
What is the 3549th prime number?
33107.
Which prime number is 33107?
33107 is the 3549th prime number.
What is the sum of the first 3549 primes?
55,275,426.