What is the 3587th prime number?
The 3587th prime number is 33503. The next prime is 33521 (a gap of 18) and the one before is 33493.
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 3587th one is 33503.
- 2
33503 is prime because no prime up to ā33503 ā 183.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3587th prime is close to 3587 Ć ln(3587) ā 29360, and here it is 33503.
- 4
33503 has no twin: neither 33501 nor 33505 is prime.
Primes around the 3587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
| 3586 | 33493 | 6 |
| 3587 | 33503 | 10 |
| 3588 | 33521 | 18 |
| 3589 | 33529 | 8 |
| 3590 | 33533 | 4 |
Questions
What is the 3587th prime number?
33503.
Which prime number is 33503?
33503 is the 3587th prime number.
What is the sum of the first 3587 primes?
56,541,438.