What is the 3501st prime number?
The 3501st prime number is 32611. The next prime is 32621 (a gap of 10) and the one before is 32609.
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 3501st one is 32611.
- 2
32611 is prime because no prime up to ā32611 ā 180.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3501st prime is close to 3501 Ć ln(3501) ā 28571, and here it is 32611.
- 4
32611 is a twin prime: 32609 and 32611 are both prime.
Primes around the 3501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3498 | 32587 | 8 |
| 3499 | 32603 | 16 |
| 3500 | 32609 | 6 |
| 3501 | 32611 | 2 |
| 3502 | 32621 | 10 |
| 3503 | 32633 | 12 |
| 3504 | 32647 | 14 |
Questions
What is the 3501st prime number?
32611.
Which prime number is 32611?
32611 is the 3501st prime number.
What is the sum of the first 3501 primes?
53,697,224.