What is the 1959th prime number?
The 1959th prime number is 16987. The next prime is 16993 (a gap of 6) and the one before is 16981.
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 1959th one is 16987.
- 2
16987 is prime because no prime up to ā16987 ā 130.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1959th prime is close to 1959 Ć ln(1959) ā 14850, and here it is 16987.
- 4
16987 has no twin: neither 16985 nor 16989 is prime.
Primes around the 1959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
Questions
What is the 1959th prime number?
16987.
Which prime number is 16987?
16987 is the 1959th prime number.
What is the sum of the first 1959 primes?
15,569,616.