What is the 3778th prime number?
The 3778th prime number is 35491. The next prime is 35507 (a gap of 16) and the one before is 35461.
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 3778th one is 35491.
- 2
35491 is prime because no prime up to ā35491 ā 188.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3778th prime is close to 3778 Ć ln(3778) ā 31119, and here it is 35491.
- 4
35491 has no twin: neither 35489 nor 35493 is prime.
Primes around the 3778th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3775 | 35447 | 10 |
| 3776 | 35449 | 2 |
| 3777 | 35461 | 12 |
| 3778 | 35491 | 30 |
| 3779 | 35507 | 16 |
| 3780 | 35509 | 2 |
| 3781 | 35521 | 12 |
Questions
What is the 3778th prime number?
35491.
Which prime number is 35491?
35491 is the 3778th prime number.
What is the sum of the first 3778 primes?
63,126,301.