What is the 3451st prime number?
The 3451st prime number is 32173. The next prime is 32183 (a gap of 10) and the one before is 32159.
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 3451st one is 32173.
- 2
32173 is prime because no prime up to ā32173 ā 179.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3451st prime is close to 3451 Ć ln(3451) ā 28113, and here it is 32173.
- 4
32173 has no twin: neither 32171 nor 32175 is prime.
Primes around the 3451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3448 | 32141 | 22 |
| 3449 | 32143 | 2 |
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
| 3452 | 32183 | 10 |
| 3453 | 32189 | 6 |
| 3454 | 32191 | 2 |
Questions
What is the 3451st prime number?
32173.
Which prime number is 32173?
32173 is the 3451st prime number.
What is the sum of the first 3451 primes?
52,077,152.