What is the 6071st prime number?
The 6071st prime number is 60133. The next prime is 60139 (a gap of 6) and the one before is 60127.
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 6071st one is 60133.
- 2
60133 is prime because no prime up to ā60133 ā 245.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6071st prime is close to 6071 Ć ln(6071) ā 52886, and here it is 60133.
- 4
60133 has no twin: neither 60131 nor 60135 is prime.
Primes around the 6071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6068 | 60103 | 2 |
| 6069 | 60107 | 4 |
| 6070 | 60127 | 20 |
| 6071 | 60133 | 6 |
| 6072 | 60139 | 6 |
| 6073 | 60149 | 10 |
| 6074 | 60161 | 12 |
Questions
What is the 6071st prime number?
60133.
Which prime number is 60133?
60133 is the 6071st prime number.
What is the sum of the first 6071 primes?
172,689,786.