What is the 3484th prime number?
The 3484th prime number is 32467. The next prime is 32479 (a gap of 12) and the one before is 32443.
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 3484th one is 32467.
- 2
32467 is prime because no prime up to ā32467 ā 180.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3484th prime is close to 3484 Ć ln(3484) ā 28415, and here it is 32467.
- 4
32467 has no twin: neither 32465 nor 32469 is prime.
Primes around the 3484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
| 3484 | 32467 | 24 |
| 3485 | 32479 | 12 |
| 3486 | 32491 | 12 |
| 3487 | 32497 | 6 |
Questions
What is the 3484th prime number?
32467.
Which prime number is 32467?
32467 is the 3484th prime number.
What is the sum of the first 3484 primes?
53,143,891.