What is the 3488th prime number?
The 3488th prime number is 32503. The next prime is 32507 (a gap of 4) and the one before is 32497.
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 3488th one is 32503.
- 2
32503 is prime because no prime up to ā32503 ā 180.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3488th prime is close to 3488 Ć ln(3488) ā 28452, and here it is 32503.
- 4
32503 has no twin: neither 32501 nor 32505 is prime.
Primes around the 3488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3485 | 32479 | 12 |
| 3486 | 32491 | 12 |
| 3487 | 32497 | 6 |
| 3488 | 32503 | 6 |
| 3489 | 32507 | 4 |
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
Questions
What is the 3488th prime number?
32503.
Which prime number is 32503?
32503 is the 3488th prime number.
What is the sum of the first 3488 primes?
53,273,861.