What is the 4060th prime number?
The 4060th prime number is 38543. The next prime is 38557 (a gap of 14) and the one before is 38501.
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 4060th one is 38543.
- 2
38543 is prime because no prime up to ā38543 ā 196.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4060th prime is close to 4060 Ć ln(4060) ā 33734, and here it is 38543.
- 4
38543 has no twin: neither 38541 nor 38545 is prime.
Primes around the 4060th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
Questions
What is the 4060th prime number?
38543.
Which prime number is 38543?
38543 is the 4060th prime number.
What is the sum of the first 4060 primes?
73,556,991.