What is the 3548th prime number?
The 3548th prime number is 33091. The next prime is 33107 (a gap of 16) and the one before is 33083.
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 3548th one is 33091.
- 2
33091 is prime because no prime up to ā33091 ā 181.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3548th prime is close to 3548 Ć ln(3548) ā 29002, and here it is 33091.
- 4
33091 has no twin: neither 33089 nor 33093 is prime.
Primes around the 3548th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3545 | 33071 | 18 |
| 3546 | 33073 | 2 |
| 3547 | 33083 | 10 |
| 3548 | 33091 | 8 |
| 3549 | 33107 | 16 |
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
Questions
What is the 3548th prime number?
33091.
Which prime number is 33091?
33091 is the 3548th prime number.
What is the sum of the first 3548 primes?
55,242,319.