What is the 4061st prime number?
The 4061st prime number is 38557. The next prime is 38561 (a gap of 4) and the one before is 38543.
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 4061st one is 38557.
- 2
38557 is prime because no prime up to ā38557 ā 196.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4061st prime is close to 4061 Ć ln(4061) ā 33744, and here it is 38557.
- 4
38557 has no twin: neither 38555 nor 38559 is prime.
Primes around the 4061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
Questions
What is the 4061st prime number?
38557.
Which prime number is 38557?
38557 is the 4061st prime number.
What is the sum of the first 4061 primes?
73,595,548.