What is the 3455th prime number?
The 3455th prime number is 32203. The next prime is 32213 (a gap of 10) and the one before is 32191.
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 3455th one is 32203.
- 2
32203 is prime because no prime up to ā32203 ā 179.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3455th prime is close to 3455 Ć ln(3455) ā 28150, and here it is 32203.
- 4
32203 has no twin: neither 32201 nor 32205 is prime.
Primes around the 3455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3452 | 32183 | 10 |
| 3453 | 32189 | 6 |
| 3454 | 32191 | 2 |
| 3455 | 32203 | 12 |
| 3456 | 32213 | 10 |
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
Questions
What is the 3455th prime number?
32203.
Which prime number is 32203?
32203 is the 3455th prime number.
What is the sum of the first 3455 primes?
52,205,918.