What is the 3774th prime number?
The 3774th prime number is 35437. The next prime is 35447 (a gap of 10) and the one before is 35423.
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 3774th one is 35437.
- 2
35437 is prime because no prime up to ā35437 ā 188.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3774th prime is close to 3774 Ć ln(3774) ā 31082, and here it is 35437.
- 4
35437 has no twin: neither 35435 nor 35439 is prime.
Primes around the 3774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
| 3774 | 35437 | 14 |
| 3775 | 35447 | 10 |
| 3776 | 35449 | 2 |
| 3777 | 35461 | 12 |
Questions
What is the 3774th prime number?
35437.
Which prime number is 35437?
35437 is the 3774th prime number.
What is the sum of the first 3774 primes?
62,984,453.