What is the 3520th prime number?
The 3520th prime number is 32831. The next prime is 32833 (a gap of 2) and the one before is 32803.
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 3520th one is 32831.
- 2
32831 is prime because no prime up to ā32831 ā 181.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3520th prime is close to 3520 Ć ln(3520) ā 28745, and here it is 32831.
- 4
32831 is a twin prime: 32831 and 32833 are both prime.
Primes around the 3520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3517 | 32797 | 8 |
| 3518 | 32801 | 4 |
| 3519 | 32803 | 2 |
| 3520 | 32831 | 28 |
| 3521 | 32833 | 2 |
| 3522 | 32839 | 6 |
| 3523 | 32843 | 4 |
Questions
What is the 3520th prime number?
32831.
Which prime number is 32831?
32831 is the 3520th prime number.
What is the sum of the first 3520 primes?
54,319,117.