What is the 1958th prime number?
The 1958th prime number is 16981. The next prime is 16987 (a gap of 6) and the one before is 16979.
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 1958th one is 16981.
- 2
16981 is prime because no prime up to ā16981 ā 130.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1958th prime is close to 1958 Ć ln(1958) ā 14841, and here it is 16981.
- 4
16981 is a twin prime: 16979 and 16981 are both prime.
Primes around the 1958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
Questions
What is the 1958th prime number?
16981.
Which prime number is 16981?
16981 is the 1958th prime number.
What is the sum of the first 1958 primes?
15,552,629.