What is the 4062nd prime number?
The 4062nd prime number is 38561. The next prime is 38567 (a gap of 6) and the one before is 38557.
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 4062nd one is 38561.
- 2
38561 is prime because no prime up to ā38561 ā 196.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4062nd prime is close to 4062 Ć ln(4062) ā 33753, and here it is 38561.
- 4
38561 has no twin: neither 38559 nor 38563 is prime.
Primes around the 4062nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
Questions
What is the 4062nd prime number?
38561.
Which prime number is 38561?
38561 is the 4062nd prime number.
What is the sum of the first 4062 primes?
73,634,109.