What is the 1968th prime number?
The 1968th prime number is 17053. The next prime is 17077 (a gap of 24) and the one before is 17047.
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 1968th one is 17053.
- 2
17053 is prime because no prime up to ā17053 ā 130.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1968th prime is close to 1968 Ć ln(1968) ā 14927, and here it is 17053.
- 4
17053 has no twin: neither 17051 nor 17055 is prime.
Primes around the 1968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
Questions
What is the 1968th prime number?
17053.
Which prime number is 17053?
17053 is the 1968th prime number.
What is the sum of the first 1968 primes?
15,722,871.