What is the 4063rd prime number?
The 4063rd prime number is 38567. The next prime is 38569 (a gap of 2) and the one before is 38561.
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 4063rd one is 38567.
- 2
38567 is prime because no prime up to ā38567 ā 196.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4063rd prime is close to 4063 Ć ln(4063) ā 33762, and here it is 38567.
- 4
38567 is a twin prime: 38567 and 38569 are both prime.
Primes around the 4063rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
Questions
What is the 4063rd prime number?
38567.
Which prime number is 38567?
38567 is the 4063rd prime number.
What is the sum of the first 4063 primes?
73,672,676.