What is the 3775th prime number?
The 3775th prime number is 35447. The next prime is 35449 (a gap of 2) and the one before is 35437.
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 3775th one is 35447.
- 2
35447 is prime because no prime up to ā35447 ā 188.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3775th prime is close to 3775 Ć ln(3775) ā 31091, and here it is 35447.
- 4
35447 is a twin prime: 35447 and 35449 are both prime.
Primes around the 3775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
| 3774 | 35437 | 14 |
| 3775 | 35447 | 10 |
| 3776 | 35449 | 2 |
| 3777 | 35461 | 12 |
| 3778 | 35491 | 30 |
Questions
What is the 3775th prime number?
35447.
Which prime number is 35447?
35447 is the 3775th prime number.
What is the sum of the first 3775 primes?
63,019,900.