What is the 1935th prime number?
The 1935th prime number is 16741. The next prime is 16747 (a gap of 6) and the one before is 16729.
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 1935th one is 16741.
- 2
16741 is prime because no prime up to ā16741 ā 129.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1935th prime is close to 1935 Ć ln(1935) ā 14644, and here it is 16741.
- 4
16741 has no twin: neither 16739 nor 16743 is prime.
Primes around the 1935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1932 | 16699 | 6 |
| 1933 | 16703 | 4 |
| 1934 | 16729 | 26 |
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
Questions
What is the 1935th prime number?
16741.
Which prime number is 16741?
16741 is the 1935th prime number.
What is the sum of the first 1935 primes?
15,164,528.