What is the 1957th prime number?
The 1957th prime number is 16979. The next prime is 16981 (a gap of 2) and the one before is 16963.
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 1957th one is 16979.
- 2
16979 is prime because no prime up to ā16979 ā 130.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1957th prime is close to 1957 Ć ln(1957) ā 14832, and here it is 16979.
- 4
16979 is a twin prime: 16979 and 16981 are both prime.
Primes around the 1957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
Questions
What is the 1957th prime number?
16979.
Which prime number is 16979?
16979 is the 1957th prime number.
What is the sum of the first 1957 primes?
15,535,648.