What is the 2062nd prime number?
The 2062nd prime number is 17981. The next prime is 17987 (a gap of 6) and the one before is 17977.
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 2062nd one is 17981.
- 2
17981 is prime because no prime up to ā17981 ā 134.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2062nd prime is close to 2062 Ć ln(2062) ā 15736, and here it is 17981.
- 4
17981 has no twin: neither 17979 nor 17983 is prime.
Primes around the 2062nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
| 2065 | 18013 | 24 |
Questions
What is the 2062nd prime number?
17981.
Which prime number is 17981?
17981 is the 2062nd prime number.
What is the sum of the first 2062 primes?
17,371,361.