What is the 6075th prime number?
The 6075th prime number is 60167. The next prime is 60169 (a gap of 2) and the one before is 60161.
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 6075th one is 60167.
- 2
60167 is prime because no prime up to ā60167 ā 245.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6075th prime is close to 6075 Ć ln(6075) ā 52925, and here it is 60167.
- 4
60167 is a twin prime: 60167 and 60169 are both prime.
Primes around the 6075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6072 | 60139 | 6 |
| 6073 | 60149 | 10 |
| 6074 | 60161 | 12 |
| 6075 | 60167 | 6 |
| 6076 | 60169 | 2 |
| 6077 | 60209 | 40 |
| 6078 | 60217 | 8 |
Questions
What is the 6075th prime number?
60167.
Which prime number is 60167?
60167 is the 6075th prime number.
What is the sum of the first 6075 primes?
172,930,402.