What is the 3768th prime number?
The 3768th prime number is 35381. The next prime is 35393 (a gap of 12) and the one before is 35363.
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 3768th one is 35381.
- 2
35381 is prime because no prime up to ā35381 ā 188.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3768th prime is close to 3768 Ć ln(3768) ā 31027, and here it is 35381.
- 4
35381 has no twin: neither 35379 nor 35383 is prime.
Primes around the 3768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3765 | 35339 | 12 |
| 3766 | 35353 | 14 |
| 3767 | 35363 | 10 |
| 3768 | 35381 | 18 |
| 3769 | 35393 | 12 |
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
Questions
What is the 3768th prime number?
35381.
Which prime number is 35381?
35381 is the 3768th prime number.
What is the sum of the first 3768 primes?
62,771,973.