What is the 2060th prime number?
The 2060th prime number is 17971. The next prime is 17977 (a gap of 6) and the one before is 17959.
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 2060th one is 17971.
- 2
17971 is prime because no prime up to ā17971 ā 134.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2060th prime is close to 2060 Ć ln(2060) ā 15719, and here it is 17971.
- 4
17971 has no twin: neither 17969 nor 17973 is prime.
Primes around the 2060th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
Questions
What is the 2060th prime number?
17971.
Which prime number is 17971?
17971 is the 2060th prime number.
What is the sum of the first 2060 primes?
17,335,403.