What is the 3783rd prime number?
The 3783rd prime number is 35531. The next prime is 35533 (a gap of 2) and the one before is 35527.
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 3783rd one is 35531.
- 2
35531 is prime because no prime up to ā35531 ā 188.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3783rd prime is close to 3783 Ć ln(3783) ā 31165, and here it is 35531.
- 4
35531 is a twin prime: 35531 and 35533 are both prime.
Primes around the 3783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3780 | 35509 | 2 |
| 3781 | 35521 | 12 |
| 3782 | 35527 | 6 |
| 3783 | 35531 | 4 |
| 3784 | 35533 | 2 |
| 3785 | 35537 | 4 |
| 3786 | 35543 | 6 |
Questions
What is the 3783rd prime number?
35531.
Which prime number is 35531?
35531 is the 3783rd prime number.
What is the sum of the first 3783 primes?
63,303,896.