What is the 1961st prime number?
The 1961st prime number is 17011. The next prime is 17021 (a gap of 10) and the one before is 16993.
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 1961st one is 17011.
- 2
17011 is prime because no prime up to ā17011 ā 130.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1961st prime is close to 1961 Ć ln(1961) ā 14867, and here it is 17011.
- 4
17011 has no twin: neither 17009 nor 17013 is prime.
Primes around the 1961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
| 1960 | 16993 | 6 |
| 1961 | 17011 | 18 |
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
Questions
What is the 1961st prime number?
17011.
Which prime number is 17011?
17011 is the 1961st prime number.
What is the sum of the first 1961 primes?
15,603,620.