What is the 3464th prime number?
The 3464th prime number is 32303. The next prime is 32309 (a gap of 6) and the one before is 32299.
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 3464th one is 32303.
- 2
32303 is prime because no prime up to ā32303 ā 179.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3464th prime is close to 3464 Ć ln(3464) ā 28232, and here it is 32303.
- 4
32303 has no twin: neither 32301 nor 32305 is prime.
Primes around the 3464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
Questions
What is the 3464th prime number?
32303.
Which prime number is 32303?
32303 is the 3464th prime number.
What is the sum of the first 3464 primes?
52,496,269.