What is the 1960th prime number?
The 1960th prime number is 16993. The next prime is 17011 (a gap of 18) and the one before is 16987.
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 1960th one is 16993.
- 2
16993 is prime because no prime up to ā16993 ā 130.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1960th prime is close to 1960 Ć ln(1960) ā 14858, and here it is 16993.
- 4
16993 has no twin: neither 16991 nor 16995 is prime.
Primes around the 1960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
Questions
What is the 1960th prime number?
16993.
Which prime number is 16993?
16993 is the 1960th prime number.
What is the sum of the first 1960 primes?
15,586,609.