What is the 6072nd prime number?
The 6072nd prime number is 60139. The next prime is 60149 (a gap of 10) and the one before is 60133.
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 6072nd one is 60139.
- 2
60139 is prime because no prime up to ā60139 ā 245.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6072nd prime is close to 6072 Ć ln(6072) ā 52896, and here it is 60139.
- 4
60139 has no twin: neither 60137 nor 60141 is prime.
Primes around the 6072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6069 | 60107 | 4 |
| 6070 | 60127 | 20 |
| 6071 | 60133 | 6 |
| 6072 | 60139 | 6 |
| 6073 | 60149 | 10 |
| 6074 | 60161 | 12 |
| 6075 | 60167 | 6 |
Questions
What is the 6072nd prime number?
60139.
Which prime number is 60139?
60139 is the 6072nd prime number.
What is the sum of the first 6072 primes?
172,749,925.