What is the 1969th prime number?
The 1969th prime number is 17077. The next prime is 17093 (a gap of 16) and the one before is 17053.
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 1969th one is 17077.
- 2
17077 is prime because no prime up to ā17077 ā 130.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1969th prime is close to 1969 Ć ln(1969) ā 14935, and here it is 17077.
- 4
17077 has no twin: neither 17075 nor 17079 is prime.
Primes around the 1969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
Questions
What is the 1969th prime number?
17077.
Which prime number is 17077?
17077 is the 1969th prime number.
What is the sum of the first 1969 primes?
15,739,948.