What is the 3450th prime number?
The 3450th prime number is 32159. The next prime is 32173 (a gap of 14) and the one before is 32143.
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 3450th one is 32159.
- 2
32159 is prime because no prime up to ā32159 ā 179.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3450th prime is close to 3450 Ć ln(3450) ā 28104, and here it is 32159.
- 4
32159 has no twin: neither 32157 nor 32161 is prime.
Primes around the 3450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3447 | 32119 | 2 |
| 3448 | 32141 | 22 |
| 3449 | 32143 | 2 |
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
| 3452 | 32183 | 10 |
| 3453 | 32189 | 6 |
Questions
What is the 3450th prime number?
32159.
Which prime number is 32159?
32159 is the 3450th prime number.
What is the sum of the first 3450 primes?
52,044,979.