What is the 3771st prime number?
The 3771st prime number is 35407. The next prime is 35419 (a gap of 12) and the one before is 35401.
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 3771st one is 35407.
- 2
35407 is prime because no prime up to ā35407 ā 188.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3771st prime is close to 3771 Ć ln(3771) ā 31055, and here it is 35407.
- 4
35407 has no twin: neither 35405 nor 35409 is prime.
Primes around the 3771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3768 | 35381 | 18 |
| 3769 | 35393 | 12 |
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
| 3774 | 35437 | 14 |
Questions
What is the 3771st prime number?
35407.
Which prime number is 35407?
35407 is the 3771st prime number.
What is the sum of the first 3771 primes?
62,878,174.