What is the 1964th prime number?
The 1964th prime number is 17029. The next prime is 17033 (a gap of 4) and the one before is 17027.
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 1964th one is 17029.
- 2
17029 is prime because no prime up to ā17029 ā 130.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1964th prime is close to 1964 Ć ln(1964) ā 14892, and here it is 17029.
- 4
17029 is a twin prime: 17027 and 17029 are both prime.
Primes around the 1964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
Questions
What is the 1964th prime number?
17029.
Which prime number is 17029?
17029 is the 1964th prime number.
What is the sum of the first 1964 primes?
15,654,697.