What is the 3731st prime number?
The 3731st prime number is 34963. The next prime is 34981 (a gap of 18) and the one before is 34961.
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 3731st one is 34963.
- 2
34963 is prime because no prime up to ā34963 ā 186.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3731st prime is close to 3731 Ć ln(3731) ā 30685, and here it is 34963.
- 4
34963 is a twin prime: 34961 and 34963 are both prime.
Primes around the 3731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
| 3734 | 35027 | 4 |
Questions
What is the 3731st prime number?
34963.
Which prime number is 34963?
34963 is the 3731st prime number.
What is the sum of the first 3731 primes?
61,470,132.