What is the 6074th prime number?
The 6074th prime number is 60161. The next prime is 60167 (a gap of 6) and the one before is 60149.
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 6074th one is 60161.
- 2
60161 is prime because no prime up to ā60161 ā 245.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6074th prime is close to 6074 Ć ln(6074) ā 52915, and here it is 60161.
- 4
60161 has no twin: neither 60159 nor 60163 is prime.
Primes around the 6074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6071 | 60133 | 6 |
| 6072 | 60139 | 6 |
| 6073 | 60149 | 10 |
| 6074 | 60161 | 12 |
| 6075 | 60167 | 6 |
| 6076 | 60169 | 2 |
| 6077 | 60209 | 40 |
Questions
What is the 6074th prime number?
60161.
Which prime number is 60161?
60161 is the 6074th prime number.
What is the sum of the first 6074 primes?
172,870,235.