What is the 3732nd prime number?
The 3732nd prime number is 34981. The next prime is 35023 (a gap of 42) and the one before is 34963.
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 3732nd one is 34981.
- 2
34981 is prime because no prime up to ā34981 ā 187.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3732nd prime is close to 3732 Ć ln(3732) ā 30695, and here it is 34981.
- 4
34981 has no twin: neither 34979 nor 34983 is prime.
Primes around the 3732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
| 3734 | 35027 | 4 |
| 3735 | 35051 | 24 |
Questions
What is the 3732nd prime number?
34981.
Which prime number is 34981?
34981 is the 3732nd prime number.
What is the sum of the first 3732 primes?
61,505,113.