What is the 3513th prime number?
The 3513th prime number is 32771. The next prime is 32779 (a gap of 8) and the one before is 32749.
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 3513th one is 32771.
- 2
32771 is prime because no prime up to ā32771 ā 181.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3513th prime is close to 3513 Ć ln(3513) ā 28681, and here it is 32771.
- 4
32771 has no twin: neither 32769 nor 32773 is prime.
Primes around the 3513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3510 | 32717 | 4 |
| 3511 | 32719 | 2 |
| 3512 | 32749 | 30 |
| 3513 | 32771 | 22 |
| 3514 | 32779 | 8 |
| 3515 | 32783 | 4 |
| 3516 | 32789 | 6 |
Questions
What is the 3513th prime number?
32771.
Which prime number is 32771?
32771 is the 3513th prime number.
What is the sum of the first 3513 primes?
54,089,534.