What is the 3781st prime number?
The 3781st prime number is 35521. The next prime is 35527 (a gap of 6) and the one before is 35509.
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 3781st one is 35521.
- 2
35521 is prime because no prime up to ā35521 ā 188.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3781st prime is close to 3781 Ć ln(3781) ā 31147, and here it is 35521.
- 4
35521 has no twin: neither 35519 nor 35523 is prime.
Primes around the 3781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3778 | 35491 | 30 |
| 3779 | 35507 | 16 |
| 3780 | 35509 | 2 |
| 3781 | 35521 | 12 |
| 3782 | 35527 | 6 |
| 3783 | 35531 | 4 |
| 3784 | 35533 | 2 |
Questions
What is the 3781st prime number?
35521.
Which prime number is 35521?
35521 is the 3781st prime number.
What is the sum of the first 3781 primes?
63,232,838.