What is the 3784th prime number?
The 3784th prime number is 35533. The next prime is 35537 (a gap of 4) and the one before is 35531.
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 3784th one is 35533.
- 2
35533 is prime because no prime up to ā35533 ā 188.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3784th prime is close to 3784 Ć ln(3784) ā 31175, and here it is 35533.
- 4
35533 is a twin prime: 35531 and 35533 are both prime.
Primes around the 3784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3781 | 35521 | 12 |
| 3782 | 35527 | 6 |
| 3783 | 35531 | 4 |
| 3784 | 35533 | 2 |
| 3785 | 35537 | 4 |
| 3786 | 35543 | 6 |
| 3787 | 35569 | 26 |
Questions
What is the 3784th prime number?
35533.
Which prime number is 35533?
35533 is the 3784th prime number.
What is the sum of the first 3784 primes?
63,339,429.