What is the 3485th prime number?
The 3485th prime number is 32479. The next prime is 32491 (a gap of 12) and the one before is 32467.
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 3485th one is 32479.
- 2
32479 is prime because no prime up to ā32479 ā 180.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3485th prime is close to 3485 Ć ln(3485) ā 28424, and here it is 32479.
- 4
32479 has no twin: neither 32477 nor 32481 is prime.
Primes around the 3485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
| 3484 | 32467 | 24 |
| 3485 | 32479 | 12 |
| 3486 | 32491 | 12 |
| 3487 | 32497 | 6 |
| 3488 | 32503 | 6 |
Questions
What is the 3485th prime number?
32479.
Which prime number is 32479?
32479 is the 3485th prime number.
What is the sum of the first 3485 primes?
53,176,370.