What is the 1936th prime number?
The 1936th prime number is 16747. The next prime is 16759 (a gap of 12) and the one before is 16741.
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 1936th one is 16747.
- 2
16747 is prime because no prime up to ā16747 ā 129.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1936th prime is close to 1936 Ć ln(1936) ā 14652, and here it is 16747.
- 4
16747 has no twin: neither 16745 nor 16749 is prime.
Primes around the 1936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1933 | 16703 | 4 |
| 1934 | 16729 | 26 |
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
| 1938 | 16763 | 4 |
| 1939 | 16787 | 24 |
Questions
What is the 1936th prime number?
16747.
Which prime number is 16747?
16747 is the 1936th prime number.
What is the sum of the first 1936 primes?
15,181,275.