What is the 3512th prime number?
The 3512th prime number is 32749. The next prime is 32771 (a gap of 22) and the one before is 32719.
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 3512th one is 32749.
- 2
32749 is prime because no prime up to ā32749 ā 180.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3512th prime is close to 3512 Ć ln(3512) ā 28672, and here it is 32749.
- 4
32749 has no twin: neither 32747 nor 32751 is prime.
Primes around the 3512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3509 | 32713 | 6 |
| 3510 | 32717 | 4 |
| 3511 | 32719 | 2 |
| 3512 | 32749 | 30 |
| 3513 | 32771 | 22 |
| 3514 | 32779 | 8 |
| 3515 | 32783 | 4 |
Questions
What is the 3512th prime number?
32749.
Which prime number is 32749?
32749 is the 3512th prime number.
What is the sum of the first 3512 primes?
54,056,763.