What is the 1966th prime number?
The 1966th prime number is 17041. The next prime is 17047 (a gap of 6) and the one before is 17033.
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 1966th one is 17041.
- 2
17041 is prime because no prime up to ā17041 ā 130.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1966th prime is close to 1966 Ć ln(1966) ā 14910, and here it is 17041.
- 4
17041 has no twin: neither 17039 nor 17043 is prime.
Primes around the 1966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
Questions
What is the 1966th prime number?
17041.
Which prime number is 17041?
17041 is the 1966th prime number.
What is the sum of the first 1966 primes?
15,688,771.