What is the 1967th prime number?
The 1967th prime number is 17047. The next prime is 17053 (a gap of 6) and the one before is 17041.
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 1967th one is 17047.
- 2
17047 is prime because no prime up to ā17047 ā 130.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1967th prime is close to 1967 Ć ln(1967) ā 14918, and here it is 17047.
- 4
17047 has no twin: neither 17045 nor 17049 is prime.
Primes around the 1967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
Questions
What is the 1967th prime number?
17047.
Which prime number is 17047?
17047 is the 1967th prime number.
What is the sum of the first 1967 primes?
15,705,818.