What is the 3061st prime number?
The 3061st prime number is 28057. The next prime is 28069 (a gap of 12) and the one before is 28051.
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 3061st one is 28057.
- 2
28057 is prime because no prime up to ā28057 ā 167.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3061st prime is close to 3061 Ć ln(3061) ā 24569, and here it is 28057.
- 4
28057 has no twin: neither 28055 nor 28059 is prime.
Primes around the 3061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3058 | 28027 | 8 |
| 3059 | 28031 | 4 |
| 3060 | 28051 | 20 |
| 3061 | 28057 | 6 |
| 3062 | 28069 | 12 |
| 3063 | 28081 | 12 |
| 3064 | 28087 | 6 |
Questions
What is the 3061st prime number?
28057.
Which prime number is 28057?
28057 is the 3061st prime number.
What is the sum of the first 3061 primes?
40,339,170.